Quotient of sum of exps

Time bar (total: 4.2s)

analyze9.0ms (0.2%)

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

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (27.2%)

Results
880.0ms8256×body256valid
248.0ms2902×body256unsamplable
Bogosity

preprocess126.0ms (3%)

Algorithm
egg-herbie
Rules
1088×unswap-sqr
792×fma-def
678×*-commutative
528×associate-/l*
512×distribute-rgt-in
Problems
255×No Errors
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
022182
134182
246182
363182
4111169
5236169
6513169
71372169
83145164
94781162
106738154
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 (neg.f64 a) b))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 (neg.f64 a) b))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 a b))))
(/.f64 1 (fma.f64 (exp.f64 a) (exp.f64 b) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 (neg.f64 a) b))))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 32 to 13 computations (59.4% saved)

eval1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
100.0%
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
Compiler

Compiled 20 to 16 computations (20% saved)

localize36.0ms (0.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
100.0%
(+.f64 1 (exp.f64 (-.f64 b a)))
Compiler

Compiled 27 to 12 computations (55.6% saved)

series6.0ms (0.1%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
1.0ms
a
@0
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
1.0ms
b
@-inf
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
1.0ms
b
@inf
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
0.0ms
a
@inf
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))

rewrite117.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
918×prod-diff
760×log1p-expm1-u
760×expm1-log1p-u
674×log-prod
626×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01352
115452
2205852
Stop Event
node limit
Counts
2 → 82
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (-.f64 b a)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 b a))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 (-.f64 b a)))) (/.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) (-.f64 1 (exp.f64 (-.f64 b a)))))
(*.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(*.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(*.f64 (+.f64 1 (exp.f64 (-.f64 b a))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))) (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (/.f64 1 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (/.f64 1 (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 (-.f64 b a))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))))
(/.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))) (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a)))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (-.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (neg.f64 (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 b a))) (expm1.f64 (-.f64 b a)))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) -1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))) 2)
(pow.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (-.f64 b a))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 b a))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 (-.f64 b a)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 (-.f64 b a)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 (-.f64 b a)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(fma.f64 1 (exp.f64 (-.f64 b a)) 1)
(fma.f64 (exp.f64 (-.f64 b a)) 1 1)
(fma.f64 (exp.f64 b) (/.f64 1 (exp.f64 a)) 1)
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) 2) (cbrt.f64 (exp.f64 (-.f64 b a))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 b a))) (sqrt.f64 (exp.f64 (-.f64 b a))) 1)
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 1)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a))))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2) (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (-.f64 1 (exp.f64 (-.f64 b a))))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))) -2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2) 2)
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a))))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a))))) 3))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a))))) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 (-.f64 b a)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))

simplify90.0ms (2.1%)

Algorithm
egg-herbie
Rules
1258×associate-*r/
944×unswap-sqr
786×distribute-lft-in
780×distribute-rgt-in
632×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02825931
17395236
226235055
Stop Event
node limit
Counts
114 → 161
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (neg.f64 a)))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 a)) (*.f64 b (exp.f64 (neg.f64 a)))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (exp.f64 (neg.f64 a)))) (*.f64 b (exp.f64 (neg.f64 a))))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (exp.f64 (neg.f64 a)))) (*.f64 b (exp.f64 (neg.f64 a)))))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 (exp.f64 b) (*.f64 -1 (*.f64 a (exp.f64 b)))))
(+.f64 1 (+.f64 (exp.f64 b) (+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (exp.f64 b))))))
(+.f64 1 (+.f64 (exp.f64 b) (+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (exp.f64 b))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (exp.f64 b)))))))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))) (+.f64 1 (exp.f64 (neg.f64 a))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (*.f64 1/6 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/6 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 (*.f64 (exp.f64 b) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 1 (exp.f64 b))))))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 b a))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 (-.f64 b a)))) (/.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) (-.f64 1 (exp.f64 (-.f64 b a)))))
(*.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(*.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(*.f64 (+.f64 1 (exp.f64 (-.f64 b a))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))) (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (/.f64 1 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (/.f64 1 (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 (-.f64 b a))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))))
(/.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))) (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a)))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (-.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (neg.f64 (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 b a))) (expm1.f64 (-.f64 b a)))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) -1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))) 2)
(pow.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (-.f64 b a))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 b a))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 (-.f64 b a)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 (-.f64 b a)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 (-.f64 b a)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(fma.f64 1 (exp.f64 (-.f64 b a)) 1)
(fma.f64 (exp.f64 (-.f64 b a)) 1 1)
(fma.f64 (exp.f64 b) (/.f64 1 (exp.f64 a)) 1)
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) 2) (cbrt.f64 (exp.f64 (-.f64 b a))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 b a))) (sqrt.f64 (exp.f64 (-.f64 b a))) 1)
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 1)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a))))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2) (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (-.f64 1 (exp.f64 (-.f64 b a))))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))) -2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2) 2)
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a))))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a))))) 3))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a))))) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 (-.f64 b a)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
Outputs
(+.f64 1 (exp.f64 (neg.f64 a)))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 a)) (*.f64 b (exp.f64 (neg.f64 a)))))
(+.f64 1 (*.f64 (+.f64 b 1) (exp.f64 (neg.f64 a))))
(fma.f64 (+.f64 1 b) (exp.f64 (neg.f64 a)) 1)
(+.f64 1 (/.f64 (+.f64 1 b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (exp.f64 (neg.f64 a)))) (*.f64 b (exp.f64 (neg.f64 a))))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 b 2)) (*.f64 (exp.f64 (neg.f64 a)) b))))
(+.f64 (fma.f64 (+.f64 1 b) (exp.f64 (neg.f64 a)) 1) (*.f64 (pow.f64 b 2) (/.f64 1/2 (exp.f64 a))))
(+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (+.f64 1 b) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (exp.f64 (neg.f64 a)))) (*.f64 b (exp.f64 (neg.f64 a)))))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 b 2)) (*.f64 (exp.f64 (neg.f64 a)) b)))))
(+.f64 1 (+.f64 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b))))
(+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/6 b) 1/2)) (+.f64 1 b))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 (exp.f64 b) (*.f64 -1 (*.f64 a (exp.f64 b)))))
(+.f64 1 (+.f64 (exp.f64 b) (*.f64 (neg.f64 a) (exp.f64 b))))
(+.f64 1 (*.f64 (+.f64 (neg.f64 a) 1) (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) (+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (exp.f64 b))))))
(+.f64 1 (+.f64 (exp.f64 b) (fma.f64 -1 (*.f64 a (exp.f64 b)) (*.f64 1/2 (*.f64 (exp.f64 b) (pow.f64 a 2))))))
(+.f64 1 (+.f64 (exp.f64 b) (*.f64 (exp.f64 b) (+.f64 (neg.f64 a) (*.f64 1/2 (pow.f64 a 2))))))
(+.f64 1 (*.f64 (exp.f64 b) (+.f64 (+.f64 (neg.f64 a) 1) (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 1 (+.f64 (exp.f64 b) (+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (exp.f64 b))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (exp.f64 b)))))))
(+.f64 1 (+.f64 (exp.f64 b) (fma.f64 -1 (*.f64 a (exp.f64 b)) (fma.f64 -1/6 (*.f64 (exp.f64 b) (pow.f64 a 3)) (*.f64 1/2 (*.f64 (exp.f64 b) (pow.f64 a 2)))))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (neg.f64 a) 1) (exp.f64 b)) (*.f64 (exp.f64 b) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 -1/6 (pow.f64 a 3))))))
(+.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) (-.f64 (*.f64 (pow.f64 a 2) (+.f64 1/2 (*.f64 -1/6 a))) a)))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(fma.f64 -1 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))))
(fma.f64 -1 (*.f64 (pow.f64 b 2) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)) (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))))
(-.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 (pow.f64 b 2) (-.f64 (/.f64 (/.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 (pow.f64 b 2) (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (-.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))) (+.f64 1 (exp.f64 (neg.f64 a))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (*.f64 1/6 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))))
(fma.f64 -1 (*.f64 (pow.f64 b 2) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)) (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))) (fma.f64 -1 (*.f64 (pow.f64 b 3) (fma.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)) (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))) (+.f64 1 (exp.f64 (neg.f64 a)))) (fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)) (*.f64 1/6 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))))) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 (pow.f64 b 3) (-.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)) -1/2 (/.f64 (/.f64 1/6 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))) (-.f64 (/.f64 (/.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))))))) (*.f64 (pow.f64 b 2) (-.f64 (/.f64 (/.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))))
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(+.f64 1 (exp.f64 (-.f64 b a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 b a))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 (-.f64 b a)))) 3))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 b a))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 (-.f64 b a)))) 1/3))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 b a))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 (-.f64 b a)))) 2))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 b a))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(fma.f64 1 (exp.f64 (-.f64 b a)) 1)
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(fma.f64 (exp.f64 (-.f64 b a)) 1 1)
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(fma.f64 (exp.f64 b) (/.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) 1)
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) 2) 1)
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) 2) (cbrt.f64 (exp.f64 (-.f64 b a))) 1)
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 b a))) (sqrt.f64 (exp.f64 (-.f64 b a))) 1)
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))) 1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) (log.f64 (exp.f64 1)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2) (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2)))
(/.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2))
(/.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))
(*.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))))
(/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (-.f64 1 (exp.f64 (-.f64 b a))))
(*.f64 (-.f64 1 (exp.f64 (-.f64 b a))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))))
(/.f64 (-.f64 1 (exp.f64 (-.f64 b a))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)))
(/.f64 (-.f64 1 (exp.f64 (-.f64 b a))) (-.f64 1 (exp.f64 (*.f64 2 (-.f64 b a)))))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))) 3)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -3))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 (-.f64 b a)))) -2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) -2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a))))) -1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) -1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) -1) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))) 1) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a))))) 3))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a))))) 1/3))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 (-.f64 b a)))) 2))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (neg.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))

eval94.0ms (2.2%)

Compiler

Compiled 3510 to 2058 computations (41.4% saved)

prune25.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1583161
Fresh000
Picked101
Done000
Total1593162
Accuracy
100.0%
Counts
162 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.0%
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
83.3%
(/.f64 1 (+.f64 1 (exp.f64 b)))
100.0%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
67.0%
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
83.3%
(/.f64 1 (+.f64 1 (exp.f64 b)))
100.0%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
Compiler

Compiled 52 to 44 computations (15.4% saved)

localize379.0ms (9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (exp.f64 (neg.f64 a)))
100.0%
(/.f64 1 (+.f64 1 (exp.f64 b)))
98.1%
(log1p.f64 (exp.f64 (-.f64 b a)))
Compiler

Compiled 63 to 25 computations (60.3% saved)

series111.0ms (2.6%)

Counts
3 → 36
Calls

12 calls:

TimeVariablePointExpression
33.0ms
b
@inf
(log1p.f64 (exp.f64 (-.f64 b a)))
32.0ms
a
@-inf
(log1p.f64 (exp.f64 (-.f64 b a)))
27.0ms
b
@-inf
(log1p.f64 (exp.f64 (-.f64 b a)))
17.0ms
a
@inf
(log1p.f64 (exp.f64 (-.f64 b a)))
1.0ms
b
@0
(log1p.f64 (exp.f64 (-.f64 b a)))

rewrite83.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1146×prod-diff
1103×log1p-expm1-u
541×expm1-log1p-u
386×expm1-udef
386×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01859
125755
2340755
Stop Event
node limit
Counts
3 → 73
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 (-.f64 b a)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 (neg.f64 a)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 (+.f64 b a))))) 1)
(*.f64 (log1p.f64 (exp.f64 (+.f64 b a))) 1)
(*.f64 1 (log1p.f64 (exp.f64 (+.f64 b a))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) (sqrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))))
(pow.f64 (log1p.f64 (exp.f64 (+.f64 b a))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 (+.f64 b a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 (+.f64 b a))) 2))
(log.f64 (+.f64 (exp.f64 (+.f64 b a)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (+.f64 b a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 (+.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 b 3)))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(-.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 (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)
(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)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)

simplify77.0ms (1.8%)

Algorithm
egg-herbie
Rules
1392×unswap-sqr
1338×fma-def
804×times-frac
750×distribute-lft-in
746×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02773558
17003450
223413320
Stop Event
node limit
Counts
109 → 143
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (+.f64 1 (exp.f64 (neg.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))))) (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (+.f64 1 (exp.f64 (neg.f64 a))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 3) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))))) (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (+.f64 1 (exp.f64 (neg.f64 a)))))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(log.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(log.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(log.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 (*.f64 a (exp.f64 b)) (+.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (exp.f64 b)) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (exp.f64 b) (+.f64 1 (exp.f64 b))))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (exp.f64 b)) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (exp.f64 b) (+.f64 1 (exp.f64 b)))))))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(log.f64 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(log.f64 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(log.f64 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
2
(+.f64 2 (*.f64 -1 a))
(+.f64 2 (+.f64 (*.f64 -1 a) (*.f64 1/2 (pow.f64 a 2))))
(+.f64 2 (+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 (+.f64 b a))))) 1)
(*.f64 (log1p.f64 (exp.f64 (+.f64 b a))) 1)
(*.f64 1 (log1p.f64 (exp.f64 (+.f64 b a))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) (sqrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))))
(pow.f64 (log1p.f64 (exp.f64 (+.f64 b a))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 (+.f64 b a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 (+.f64 b a))) 2))
(log.f64 (+.f64 (exp.f64 (+.f64 b a)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (+.f64 b a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 (+.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 (+.f64 b a)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 b 3)))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(-.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 (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)
(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)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
Outputs
(log.f64 (+.f64 1 (exp.f64 (neg.f64 a))))
(log1p.f64 (exp.f64 (neg.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (+.f64 1 (exp.f64 (neg.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) (/.f64 (*.f64 (exp.f64 (neg.f64 a)) b) (+.f64 1 (exp.f64 (neg.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) (/.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) (/.f64 b (*.f64 (+.f64 1 (exp.f64 (neg.f64 a))) (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))))) (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (+.f64 1 (exp.f64 (neg.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) (fma.f64 1/2 (*.f64 (pow.f64 b 2) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))) (/.f64 (*.f64 (exp.f64 (neg.f64 a)) b) (+.f64 1 (exp.f64 (neg.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) (fma.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))) (/.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))))
(+.f64 (/.f64 b (*.f64 (+.f64 1 (exp.f64 (neg.f64 a))) (exp.f64 a))) (fma.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) -2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 1/2 (pow.f64 b 2)) (log1p.f64 (exp.f64 (neg.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 3) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))))) (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (+.f64 1 (exp.f64 (neg.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (fma.f64 -3 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 3) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))))) (fma.f64 1/2 (*.f64 (pow.f64 b 2) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))) (/.f64 (*.f64 (exp.f64 (neg.f64 a)) b) (+.f64 1 (exp.f64 (neg.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (fma.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) -3 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 3) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))))) (fma.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))) (/.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))))
(+.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 a) -2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) -3 (fma.f64 2 (pow.f64 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))) 3) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))) (*.f64 1/6 (pow.f64 b 3)) (/.f64 b (*.f64 (+.f64 1 (exp.f64 (neg.f64 a))) (exp.f64 a)))) (fma.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) -2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 1/2 (pow.f64 b 2)) (log1p.f64 (exp.f64 (neg.f64 a)))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log1p.f64 (exp.f64 (-.f64 b a)))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log1p.f64 (exp.f64 (-.f64 b a)))
(log.f64 (+.f64 1 (exp.f64 (-.f64 b a))))
(log1p.f64 (exp.f64 (-.f64 b a)))
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(log1p.f64 (exp.f64 (-.f64 b a)))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
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(fma.f64 b -1/4 1/2)
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2
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(log1p.f64 (exp.f64 (+.f64 a b)))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 (+.f64 b a)))))
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(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(+.f64 1 (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(fma.f64 1 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))

eval57.0ms (1.4%)

Compiler

Compiled 2455 to 1528 computations (37.8% saved)

prune25.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1403143
Fresh000
Picked123
Done000
Total1415146
Accuracy
100.0%
Counts
146 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.0%
(/.f64 1 (-.f64 2 a))
67.0%
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
83.3%
(/.f64 1 (+.f64 1 (exp.f64 b)))
37.4%
(+.f64 1/2 (*.f64 b -1/4))
40.1%
1/2
41.0%
(/.f64 1 (-.f64 2 a))
67.0%
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
83.3%
(/.f64 1 (+.f64 1 (exp.f64 b)))
37.4%
(+.f64 1/2 (*.f64 b -1/4))
40.1%
1/2
Compiler

Compiled 68 to 60 computations (11.8% saved)

localize40.0ms (1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (-.f64 2 a))
Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(/.f64 1 (-.f64 2 a))
0.0ms
a
@0
(/.f64 1 (-.f64 2 a))
0.0ms
a
@-inf
(/.f64 1 (-.f64 2 a))

rewrite55.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
562×unpow-prod-down
414×log1p-expm1-u
414×expm1-log1p-u
390×add-exp-log
375×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
18916
2112516
Stop Event
node limit
Counts
1 → 48
Calls
Call 1
Inputs
(/.f64 1 (-.f64 2 a))
Outputs
(+.f64 0 (/.f64 1 (-.f64 2 a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(*.f64 1 (/.f64 1 (-.f64 2 a)))
(*.f64 (/.f64 1 (-.f64 2 a)) 1)
(*.f64 (/.f64 1 (-.f64 2 a)) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(*.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (pow.f64 (/.f64 1 (fma.f64 a (+.f64 2 a) 4)) -1))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (pow.f64 (/.f64 1 (+.f64 2 a)) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 2 a)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 2 a) -2) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 2 a)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 2 a) -5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 2 a) -2) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 2 a)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -5/2)) (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)))
(pow.f64 (-.f64 2 a) -1)
(pow.f64 (/.f64 1 (-.f64 2 a)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 a)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 3)
(pow.f64 (pow.f64 (-.f64 2 a) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 2 a) 3) -1/3)
(pow.f64 (pow.f64 (-.f64 2 a) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 2 a) -3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 a)) -2)
(pow.f64 (pow.f64 (-.f64 2 a) -1/2) 2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 2 a))))
(pow.f64 (neg.f64 (neg.f64 (-.f64 2 a))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (-.f64 2 a)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 2 a))) 2))) (cbrt.f64 (neg.f64 (log.f64 (-.f64 2 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 2 a))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 2 a)))))
(sqrt.f64 (pow.f64 (-.f64 2 a) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))
(cbrt.f64 (pow.f64 (-.f64 2 a) -3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 2 a) -3/2) (pow.f64 (-.f64 2 a) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(exp.f64 (neg.f64 (log.f64 (-.f64 2 a))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 2 a)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 2 a) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 2 a) -1/2)) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 a))))

simplify63.0ms (1.5%)

Algorithm
egg-herbie
Rules
750×associate-*r*
684×associate-*l*
596×fma-neg
544×fma-def
440×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721736
14181639
210741615
349191551
Stop Event
node limit
Counts
60 → 87
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a)))
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 a 3)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
(+.f64 0 (/.f64 1 (-.f64 2 a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(*.f64 1 (/.f64 1 (-.f64 2 a)))
(*.f64 (/.f64 1 (-.f64 2 a)) 1)
(*.f64 (/.f64 1 (-.f64 2 a)) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(*.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (pow.f64 (/.f64 1 (fma.f64 a (+.f64 2 a) 4)) -1))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (pow.f64 (/.f64 1 (+.f64 2 a)) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 2 a)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 2 a) -2) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 2 a)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 2 a) -5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 2 a) -2) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 2 a)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -5/2)) (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)))
(pow.f64 (-.f64 2 a) -1)
(pow.f64 (/.f64 1 (-.f64 2 a)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 a)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 3)
(pow.f64 (pow.f64 (-.f64 2 a) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 2 a) 3) -1/3)
(pow.f64 (pow.f64 (-.f64 2 a) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 2 a) -3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 a)) -2)
(pow.f64 (pow.f64 (-.f64 2 a) -1/2) 2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 2 a))))
(pow.f64 (neg.f64 (neg.f64 (-.f64 2 a))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (-.f64 2 a)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 2 a))) 2))) (cbrt.f64 (neg.f64 (log.f64 (-.f64 2 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 2 a))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 2 a)))))
(sqrt.f64 (pow.f64 (-.f64 2 a) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))
(cbrt.f64 (pow.f64 (-.f64 2 a) -3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 2 a) -3/2) (pow.f64 (-.f64 2 a) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(exp.f64 (neg.f64 (log.f64 (-.f64 2 a))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 2 a)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 2 a) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 2 a) -1/2)) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 a))))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 1/4 a (*.f64 1/8 (pow.f64 a 2))))
(fma.f64 1/4 a (fma.f64 1/8 (pow.f64 a 2) 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 a 3)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 a 3) (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a))))
(+.f64 (fma.f64 1/16 (pow.f64 a 3) (*.f64 1/8 (pow.f64 a 2))) (fma.f64 1/4 a 1/2))
(fma.f64 1/16 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/8 (pow.f64 a 2) 1/2)))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (/.f64 1 a) (/.f64 2 (pow.f64 a 2))))
(+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3)))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a)) (/.f64 -4 (pow.f64 a 3)))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (-.f64 (/.f64 1 a) (/.f64 -4 (pow.f64 a 3))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 4 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4))))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 4 (pow.f64 a 3)) (/.f64 8 (pow.f64 a 4)))))
(-.f64 (+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -4 (pow.f64 a 3))) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a)) (-.f64 (/.f64 -4 (pow.f64 a 3)) (/.f64 8 (pow.f64 a 4))))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (/.f64 1 a) (/.f64 2 (pow.f64 a 2))))
(+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3)))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a)) (/.f64 -4 (pow.f64 a 3)))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (-.f64 (/.f64 1 a) (/.f64 -4 (pow.f64 a 3))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 4 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4))))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 4 (pow.f64 a 3)) (/.f64 8 (pow.f64 a 4)))))
(-.f64 (+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -4 (pow.f64 a 3))) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a)) (-.f64 (/.f64 -4 (pow.f64 a 3)) (/.f64 8 (pow.f64 a 4))))
(+.f64 0 (/.f64 1 (-.f64 2 a)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 a -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 1 (/.f64 1 (-.f64 2 a)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (/.f64 1 (-.f64 2 a)) 1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (/.f64 1 (-.f64 2 a)) (log.f64 (E.f64)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 a 2) 4))
(/.f64 (fma.f64 a (+.f64 a 2) 4) (-.f64 8 (pow.f64 a 3)))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (pow.f64 (/.f64 1 (fma.f64 a (+.f64 2 a) 4)) -1))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 a 2) 4))
(/.f64 (fma.f64 a (+.f64 a 2) 4) (-.f64 8 (pow.f64 a 3)))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a))
(*.f64 (+.f64 a 2) (/.f64 1 (-.f64 4 (pow.f64 a 2))))
(/.f64 (+.f64 a 2) (-.f64 4 (pow.f64 a 2)))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (pow.f64 (/.f64 1 (+.f64 2 a)) -1))
(*.f64 (+.f64 a 2) (/.f64 1 (-.f64 4 (pow.f64 a 2))))
(/.f64 (+.f64 a 2) (-.f64 4 (pow.f64 a 2)))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 2 a)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -3/2)) (cbrt.f64 (pow.f64 (-.f64 2 a) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 2 a) -3/2) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 2 a) -2) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 2 a)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (pow.f64 (-.f64 2 a) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 2 a)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (pow.f64 (-.f64 2 a) -2))) (cbrt.f64 (cbrt.f64 (-.f64 2 a))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 8)) (cbrt.f64 (cbrt.f64 (-.f64 2 a))))
(*.f64 (pow.f64 (pow.f64 (-.f64 2 a) -5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -5/2)) (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -3/2)) (cbrt.f64 (pow.f64 (-.f64 2 a) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 2 a) -3/2) 1/6) 4)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 2 a) -2) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 2 a)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (pow.f64 (-.f64 2 a) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 2 a)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (pow.f64 (-.f64 2 a) -2))) (cbrt.f64 (cbrt.f64 (-.f64 2 a))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 8)) (cbrt.f64 (cbrt.f64 (-.f64 2 a))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -5/2)) (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)))
(pow.f64 (-.f64 2 a) -1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (/.f64 1 (-.f64 2 a)) 1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (cbrt.f64 (-.f64 2 a)) -3)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 3)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (pow.f64 (-.f64 2 a) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 2 a) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (-.f64 2 a) 3) -1/6) (pow.f64 (pow.f64 (-.f64 2 a) 3) -1/6))
(pow.f64 (pow.f64 (-.f64 2 a) -2) 1/2)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (pow.f64 (-.f64 2 a) -3) 1/3)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (sqrt.f64 (-.f64 2 a)) -2)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (pow.f64 (-.f64 2 a) -1/2) 2)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (neg.f64 (neg.f64 (-.f64 2 a))) -1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (exp.f64 -1) (log.f64 (-.f64 2 a)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 2 a))) 2))) (cbrt.f64 (neg.f64 (log.f64 (-.f64 2 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 2 a))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 2 a)))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(sqrt.f64 (pow.f64 (-.f64 2 a) -2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(cbrt.f64 (pow.f64 (-.f64 2 a) -3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 2 a) -3/2) (pow.f64 (-.f64 2 a) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(exp.f64 (neg.f64 (log.f64 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 2 a)))) 3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 2 a) -3)) 1/3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 2 a) -1/2)) 2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))

eval46.0ms (1.1%)

Compiler

Compiled 1012 to 849 computations (16.1% saved)

prune18.0ms (0.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New84387
Fresh011
Picked022
Done022
Total84892
Accuracy
100.0%
Counts
92 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.0%
(/.f64 1 (-.f64 2 a))
67.0%
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
83.3%
(/.f64 1 (+.f64 1 (exp.f64 b)))
3.8%
(/.f64 -1 a)
65.7%
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
37.4%
(+.f64 1/2 (*.f64 b -1/4))
40.3%
(+.f64 1/2 (*.f64 1/4 a))
40.1%
1/2
41.0%
(/.f64 1 (-.f64 2 a))
67.0%
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
83.3%
(/.f64 1 (+.f64 1 (exp.f64 b)))
3.8%
(/.f64 -1 a)
65.7%
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
37.4%
(+.f64 1/2 (*.f64 b -1/4))
40.3%
(+.f64 1/2 (*.f64 1/4 a))
40.1%
1/2
Compiler

Compiled 114 to 100 computations (12.3% saved)

localize390.0ms (9.3%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (-.f64 2 a))
100.0%
(+.f64 1 (/.f64 1 (-.f64 2 a)))
74.9%
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
Compiler

Compiled 46 to 36 computations (21.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
a
@0
(+.f64 1 (/.f64 1 (-.f64 2 a)))
0.0ms
a
@0
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
0.0ms
a
@inf
(+.f64 1 (/.f64 1 (-.f64 2 a)))
0.0ms
a
@inf
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
0.0ms
a
@-inf
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)

rewrite72.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
732×log1p-expm1-u
732×expm1-log1p-u
724×fma-def
632×prod-diff
558×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
115138
2222938
Stop Event
node limit
Counts
2 → 142
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
Outputs
(+.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) -1))
(+.f64 (/.f64 1 (-.f64 2 a)) 0)
(+.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) -1)
(+.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) (log.f64 (exp.f64 -1)))
(+.f64 -1 (+.f64 1 (/.f64 1 (-.f64 2 a))))
(+.f64 0 (/.f64 1 (-.f64 2 a)))
(+.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 1)
(+.f64 (log.f64 (exp.f64 1)) (+.f64 (/.f64 1 (-.f64 2 a)) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(*.f64 1 (/.f64 1 (-.f64 2 a)))
(*.f64 (/.f64 1 (-.f64 2 a)) 1)
(*.f64 (/.f64 1 (-.f64 2 a)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (cbrt.f64 (pow.f64 (-.f64 2 a) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(*.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a))
(/.f64 1 (-.f64 2 a))
(/.f64 1 (neg.f64 (neg.f64 (-.f64 2 a))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a)))))))
(/.f64 -1 (neg.f64 (-.f64 2 a)))
(/.f64 (pow.f64 (-.f64 2 a) -1/2) (sqrt.f64 (-.f64 2 a)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (+.f64 (/.f64 1 (-.f64 2 a)) 2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (cbrt.f64 (-.f64 2 a)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a)))))) (neg.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 2) (+.f64 (/.f64 1 (-.f64 2 a)) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 2)) (-.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) -1)))
(pow.f64 (-.f64 2 a) -1)
(pow.f64 (/.f64 1 (-.f64 2 a)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 a)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 3)
(pow.f64 (pow.f64 (-.f64 2 a) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 2 a) 3) -1/3)
(pow.f64 (pow.f64 (-.f64 2 a) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 2 a) -3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 a)) -2)
(pow.f64 (pow.f64 (-.f64 2 a) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (-.f64 2 a))) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a)))))) -1)
(sqrt.f64 (pow.f64 (-.f64 2 a) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 2 a)))))
(cbrt.f64 (pow.f64 (-.f64 2 a) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(hypot.f64 (pow.f64 (-.f64 2 a) -1/2) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 2 a))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 2 a)) 1) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 2 a)))) 3))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (-.f64 2 a))) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 2 a))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 a))))
(fma.f64 1 (/.f64 1 (-.f64 2 a)) 0)
(fma.f64 1 (+.f64 1 (/.f64 1 (-.f64 2 a))) -1)
(fma.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 1)
(fma.f64 (/.f64 1 (-.f64 2 a)) 1 0)
(fma.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1 -1)
(fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 1) -1)
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 a))) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) -1)
(fma.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2) 0)
(fma.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a))))) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (-.f64 2 a)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1)) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1))) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1)) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1)) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) 0)
(fma.f64 (+.f64 (pow.f64 (-.f64 2 a) -1/2) 1) (-.f64 (pow.f64 (-.f64 2 a) -1/2) 1) 1)
(fma.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4) 0)
(fma.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a) 0)
(-.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 1 (-.f64 2 a)))) (/.f64 (pow.f64 (-.f64 2 a) -2) (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(*.f64 1 (+.f64 1 (/.f64 1 (-.f64 2 a))))
(*.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(*.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 1))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1))
(*.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a))))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))) (+.f64 1 (pow.f64 (-.f64 2 a) -3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 1 (-.f64 2 a))) (-.f64 1 (pow.f64 (-.f64 2 a) -2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 (pow.f64 (-.f64 2 a) -2) (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2))) (neg.f64 (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 a) -2) 1) (+.f64 (/.f64 1 (-.f64 2 a)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) 1) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 6) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 2)
(pow.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))) (+.f64 1 (pow.f64 (-.f64 2 a) -3))) -1)
(pow.f64 (/.f64 (-.f64 1 (/.f64 1 (-.f64 2 a))) (-.f64 1 (pow.f64 (-.f64 2 a) -2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 6))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 1 (-.f64 2 a)))) 3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 1 (-.f64 2 a)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))))
(fma.f64 1 (/.f64 1 (-.f64 2 a)) 1)
(fma.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2) -1)
(fma.f64 (/.f64 1 (-.f64 2 a)) 1 1)
(fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))) 1)
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 a))) 1)
(fma.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) 1)
(fma.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))) 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2))) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) -1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) 1)
(fma.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4) 1)
(fma.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a) 1)

simplify85.0ms (2%)

Algorithm
egg-herbie
Rules
1914×fma-def
1382×times-frac
772×distribute-rgt-in
748×distribute-lft-in
684×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03185682
17325477
220445457
Stop Event
node limit
Counts
166 → 243
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a)))
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 a 3)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
3/2
(+.f64 3/2 (*.f64 1/4 a))
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a)))
(+.f64 3/2 (+.f64 (*.f64 1/16 (pow.f64 a 3)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
1
(-.f64 1 (/.f64 1 a))
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
1
(-.f64 1 (/.f64 1 a))
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) -1))
(+.f64 (/.f64 1 (-.f64 2 a)) 0)
(+.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) -1)
(+.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) (log.f64 (exp.f64 -1)))
(+.f64 -1 (+.f64 1 (/.f64 1 (-.f64 2 a))))
(+.f64 0 (/.f64 1 (-.f64 2 a)))
(+.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 1)
(+.f64 (log.f64 (exp.f64 1)) (+.f64 (/.f64 1 (-.f64 2 a)) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(*.f64 1 (/.f64 1 (-.f64 2 a)))
(*.f64 (/.f64 1 (-.f64 2 a)) 1)
(*.f64 (/.f64 1 (-.f64 2 a)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (cbrt.f64 (pow.f64 (-.f64 2 a) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(*.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a))
(/.f64 1 (-.f64 2 a))
(/.f64 1 (neg.f64 (neg.f64 (-.f64 2 a))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a)))))))
(/.f64 -1 (neg.f64 (-.f64 2 a)))
(/.f64 (pow.f64 (-.f64 2 a) -1/2) (sqrt.f64 (-.f64 2 a)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (+.f64 (/.f64 1 (-.f64 2 a)) 2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (cbrt.f64 (-.f64 2 a)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a)))))) (neg.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 2) (+.f64 (/.f64 1 (-.f64 2 a)) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 2)) (-.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) -1)))
(pow.f64 (-.f64 2 a) -1)
(pow.f64 (/.f64 1 (-.f64 2 a)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 a)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 3)
(pow.f64 (pow.f64 (-.f64 2 a) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 2 a) 3) -1/3)
(pow.f64 (pow.f64 (-.f64 2 a) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 2 a) -3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 a)) -2)
(pow.f64 (pow.f64 (-.f64 2 a) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (-.f64 2 a))) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a)))))) -1)
(sqrt.f64 (pow.f64 (-.f64 2 a) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 2 a)))))
(cbrt.f64 (pow.f64 (-.f64 2 a) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(hypot.f64 (pow.f64 (-.f64 2 a) -1/2) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 2 a))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 2 a)) 1) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 2 a)))) 3))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (-.f64 2 a))) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 2 a))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 a))))
(fma.f64 1 (/.f64 1 (-.f64 2 a)) 0)
(fma.f64 1 (+.f64 1 (/.f64 1 (-.f64 2 a))) -1)
(fma.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 1)
(fma.f64 (/.f64 1 (-.f64 2 a)) 1 0)
(fma.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1 -1)
(fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 1) -1)
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 a))) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) -1)
(fma.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2) 0)
(fma.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a))))) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (-.f64 2 a)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1)) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1))) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1)) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1)) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) 0)
(fma.f64 (+.f64 (pow.f64 (-.f64 2 a) -1/2) 1) (-.f64 (pow.f64 (-.f64 2 a) -1/2) 1) 1)
(fma.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4) 0)
(fma.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a) 0)
(-.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 1 (-.f64 2 a)))) (/.f64 (pow.f64 (-.f64 2 a) -2) (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(*.f64 1 (+.f64 1 (/.f64 1 (-.f64 2 a))))
(*.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(*.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 1))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1))
(*.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a))))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))) (+.f64 1 (pow.f64 (-.f64 2 a) -3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 1 (-.f64 2 a))) (-.f64 1 (pow.f64 (-.f64 2 a) -2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 (pow.f64 (-.f64 2 a) -2) (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2))) (neg.f64 (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 a) -2) 1) (+.f64 (/.f64 1 (-.f64 2 a)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) 1) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 6) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 2)
(pow.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))) (+.f64 1 (pow.f64 (-.f64 2 a) -3))) -1)
(pow.f64 (/.f64 (-.f64 1 (/.f64 1 (-.f64 2 a))) (-.f64 1 (pow.f64 (-.f64 2 a) -2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 6))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 1 (-.f64 2 a)))) 3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 1 (-.f64 2 a)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))))
(fma.f64 1 (/.f64 1 (-.f64 2 a)) 1)
(fma.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2) -1)
(fma.f64 (/.f64 1 (-.f64 2 a)) 1 1)
(fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))) 1)
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 a))) 1)
(fma.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) 1)
(fma.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))) 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2))) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) -1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) 1)
(fma.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4) 1)
(fma.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a) 1)
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a)))
(+.f64 (fma.f64 1/4 a 1/2) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 1/4 a (fma.f64 1/8 (pow.f64 a 2) 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 a 3)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 a 3) (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a))))
(+.f64 (fma.f64 1/16 (pow.f64 a 3) (*.f64 1/8 (pow.f64 a 2))) (fma.f64 1/4 a 1/2))
(fma.f64 1/16 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/8 (pow.f64 a 2) 1/2)))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (/.f64 1 a) (/.f64 2 (pow.f64 a 2))))
(-.f64 (/.f64 -1 a) (/.f64 2 (pow.f64 a 2)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3)))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3))))
(+.f64 (-.f64 (/.f64 -1 a) (/.f64 2 (pow.f64 a 2))) (/.f64 -4 (pow.f64 a 3)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 4 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4))))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 4 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4)))))
(+.f64 (/.f64 -2 (pow.f64 a 2)) (-.f64 (/.f64 -4 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4)))))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (/.f64 1 a) (/.f64 2 (pow.f64 a 2))))
(-.f64 (/.f64 -1 a) (/.f64 2 (pow.f64 a 2)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3)))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3))))
(+.f64 (-.f64 (/.f64 -1 a) (/.f64 2 (pow.f64 a 2))) (/.f64 -4 (pow.f64 a 3)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 4 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4))))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 4 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4)))))
(+.f64 (/.f64 -2 (pow.f64 a 2)) (-.f64 (/.f64 -4 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4)))))
3/2
(+.f64 3/2 (*.f64 1/4 a))
(+.f64 (*.f64 1/4 a) 3/2)
(fma.f64 1/4 a 3/2)
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a)))
(+.f64 (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a)) 3/2)
(+.f64 (*.f64 1/8 (pow.f64 a 2)) (fma.f64 1/4 a 3/2))
(fma.f64 1/4 a (fma.f64 1/8 (pow.f64 a 2) 3/2))
(+.f64 3/2 (+.f64 (*.f64 1/16 (pow.f64 a 3)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(+.f64 (fma.f64 1/16 (pow.f64 a 3) (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a))) 3/2)
(+.f64 (fma.f64 1/16 (pow.f64 a 3) (*.f64 1/8 (pow.f64 a 2))) (fma.f64 1/4 a 3/2))
(fma.f64 1/16 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/8 (pow.f64 a 2) 3/2)))
1
(-.f64 1 (/.f64 1 a))
(+.f64 1 (/.f64 -1 a))
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(-.f64 1 (+.f64 (/.f64 1 a) (/.f64 2 (pow.f64 a 2))))
(+.f64 1 (-.f64 (/.f64 -1 a) (/.f64 2 (pow.f64 a 2))))
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(-.f64 1 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3)))))
(+.f64 1 (-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 a) (/.f64 2 (pow.f64 a 2))) (/.f64 -4 (pow.f64 a 3))))
1
(-.f64 1 (/.f64 1 a))
(+.f64 1 (/.f64 -1 a))
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(-.f64 1 (+.f64 (/.f64 1 a) (/.f64 2 (pow.f64 a 2))))
(+.f64 1 (-.f64 (/.f64 -1 a) (/.f64 2 (pow.f64 a 2))))
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(-.f64 1 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3)))))
(+.f64 1 (-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 a) (/.f64 2 (pow.f64 a 2))) (/.f64 -4 (pow.f64 a 3))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) -1))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(+.f64 (/.f64 1 (-.f64 2 a)) 0)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(+.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) -1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(+.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) (log.f64 (exp.f64 -1)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(+.f64 -1 (+.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(+.f64 0 (/.f64 1 (-.f64 2 a)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(+.f64 (+.f64 (/.f64 1 (-.f64 2 a)) -1) 1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(+.f64 (log.f64 (exp.f64 1)) (+.f64 (/.f64 1 (-.f64 2 a)) -1))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -2 a))))))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 a -2))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 a -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 -2 a))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 a -2))))))
(*.f64 1 (/.f64 1 (-.f64 2 a)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (/.f64 1 (-.f64 2 a)) 1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (/.f64 1 (-.f64 2 a)) (log.f64 (exp.f64 1)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (cbrt.f64 (pow.f64 (-.f64 2 a) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (cbrt.f64 (-.f64 2 a)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (cbrt.f64 (pow.f64 (-.f64 2 a) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (cbrt.f64 (-.f64 2 a)))
(*.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 2 (/.f64 1 (-.f64 2 a))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))) (+.f64 2 (+.f64 (/.f64 -1 (+.f64 -2 a)) (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 -2 a))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -1 (+.f64 a -2))))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 -1 (+.f64 a -2))) (-.f64 2 (/.f64 -1 (-.f64 2 a))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 2 (/.f64 1 (-.f64 2 a)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))) (+.f64 2 (/.f64 -1 (+.f64 -2 a))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -1 (+.f64 a -2))))) (-.f64 2 (/.f64 -1 (-.f64 2 a))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 a 2) 4))
(/.f64 (fma.f64 a (+.f64 a 2) 4) (-.f64 8 (pow.f64 a 3)))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a))
(*.f64 (+.f64 a 2) (/.f64 1 (-.f64 4 (pow.f64 a 2))))
(/.f64 (+.f64 a 2) (-.f64 4 (pow.f64 a 2)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (neg.f64 (neg.f64 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 2 (/.f64 1 (-.f64 2 a))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))) (+.f64 2 (+.f64 (/.f64 -1 (+.f64 -2 a)) (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 -2 a))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -1 (+.f64 a -2))))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 -1 (+.f64 a -2))) (-.f64 2 (/.f64 -1 (-.f64 2 a))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a)))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 2 (/.f64 1 (-.f64 2 a)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))) (+.f64 2 (/.f64 -1 (+.f64 -2 a))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -1 (+.f64 a -2))))) (-.f64 2 (/.f64 -1 (-.f64 2 a))))
(/.f64 -1 (neg.f64 (-.f64 2 a)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 -2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 (pow.f64 (-.f64 2 a) -1/2) (sqrt.f64 (-.f64 2 a)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 2 (/.f64 1 (-.f64 2 a))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))) (+.f64 2 (+.f64 (/.f64 -1 (+.f64 -2 a)) (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 -2 a))) 2))))
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(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2))
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))))
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 1))
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)))
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1))
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(*.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (+.f64 -2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 -1 (-.f64 2 a)))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 1 (+.f64 -2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 -1 (-.f64 2 a))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))) (+.f64 1 (pow.f64 (-.f64 2 a) -3))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (+.f64 -2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 -1 (-.f64 2 a)))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 1 (-.f64 2 a))) (-.f64 1 (pow.f64 (-.f64 2 a) -2))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 1 (+.f64 -2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 -1 (-.f64 2 a))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (+.f64 -2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 -1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 (pow.f64 (-.f64 2 a) -2) (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (+.f64 -2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 -1 (-.f64 2 a)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 1 (+.f64 -2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 -1 (-.f64 2 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (+.f64 -2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 -1 (-.f64 2 a)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2))) (neg.f64 (-.f64 1 (/.f64 1 (-.f64 2 a)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 1 (+.f64 -2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 -1 (-.f64 2 a))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 a) -2) 1) (+.f64 (/.f64 1 (-.f64 2 a)) -1))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 1 (+.f64 -2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 -1 (-.f64 2 a))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (+.f64 -2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 -1 (-.f64 2 a)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) 1) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 1 (+.f64 -2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 -1 (-.f64 2 a))))
(pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))) 3)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) 1/2)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 6) 1/3)
(cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 6))
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 2)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(pow.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))) (+.f64 1 (pow.f64 (-.f64 2 a) -3))) -1)
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (-.f64 2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 1 (+.f64 -2 a)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 2 a) -3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 2 a) -2) (/.f64 -1 (-.f64 2 a)))))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1 (-.f64 2 a))) (-.f64 1 (pow.f64 (-.f64 2 a) -2))) -1)
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (-.f64 1 (/.f64 1 (-.f64 2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 1 (+.f64 -2 a))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 2 a) -2)) (+.f64 1 (/.f64 -1 (-.f64 2 a))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2))
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))))
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))))))
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 6))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 (-.f64 2 a)))))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 -1 (+.f64 -2 a)))))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 -1 (-.f64 2 a)))))
(exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 a -2))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 1 (-.f64 2 a)))) 3))
(exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 a -2))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3) 1/3))
(exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 a -2))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 1 (-.f64 2 a)))) 2))
(exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 a -2))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (-.f64 2 a)))))
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 1 (/.f64 1 (-.f64 2 a)) 1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2) -1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 (/.f64 1 (-.f64 2 a)) 1 1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))) 1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) 1)
(+.f64 1 (/.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (cbrt.f64 (-.f64 2 a))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 a))) 1)
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) 1)
(+.f64 1 (/.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -2)) (cbrt.f64 (-.f64 2 a))))
(fma.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2) 1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 (/.f64 1 (-.f64 2 a)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 2) (+.f64 2 (/.f64 1 (-.f64 2 a))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))) (+.f64 2 (+.f64 (/.f64 -1 (+.f64 -2 a)) (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 -2 a))) 2)))))
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -1 (+.f64 a -2))))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 -1 (+.f64 a -2))) (-.f64 2 (/.f64 -1 (-.f64 2 a)))))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 a))))) (/.f64 1 (+.f64 2 (/.f64 1 (-.f64 2 a)))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -1 (+.f64 -2 a))))) (+.f64 2 (/.f64 -1 (+.f64 -2 a)))))
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -1 (+.f64 a -2))))) (-.f64 2 (/.f64 -1 (-.f64 2 a)))))
(fma.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2) 1 -1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))) 1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2))) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) -1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 a)) 2)) -1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (-.f64 2 a) -1/2)) 1) 1)
(+.f64 1 (/.f64 1 (-.f64 2 a)))
(+.f64 1 (/.f64 -1 (+.f64 -2 a)))
(+.f64 1 (/.f64 -1 (+.f64 a -2)))
(fma.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4) 1)
(fma.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 a 2) 4) 1)
(+.f64 1 (/.f64 (fma.f64 a (+.f64 a 2) 4) (-.f64 8 (pow.f64 a 3))))
(fma.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a) 1)
(fma.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 a 2) 1)
(+.f64 1 (/.f64 (+.f64 a 2) (-.f64 4 (pow.f64 a 2))))

eval140.0ms (3.3%)

Compiler

Compiled 5022 to 4398 computations (12.4% saved)

prune60.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3282330
Fresh011
Picked213
Done224
Total3326338
Accuracy
100.0%
Counts
338 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.3%
(/.f64 1 (+.f64 1 (exp.f64 b)))
40.3%
(-.f64 (+.f64 (*.f64 1/4 a) 3/2) 1)
46.6%
(-.f64 1 1)
37.4%
(+.f64 1/2 (*.f64 b -1/4))
40.3%
(+.f64 1/2 (*.f64 1/4 a))
40.1%
1/2
Compiler

Compiled 115 to 92 computations (20% saved)

regimes31.0ms (0.7%)

Counts
13 → 1
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 -1 a)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 1 (-.f64 2 a))
(-.f64 (+.f64 (*.f64 1/4 a) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
Calls

5 calls:

10.0ms
a
8.0ms
b
5.0ms
(exp.f64 a)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
100.0%1(exp.f64 a)
100.0%1(exp.f64 b)
Compiler

Compiled 100 to 73 computations (27% saved)

regimes51.0ms (1.2%)

Counts
10 → 2
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 -1 a)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 1 (-.f64 2 a))
(-.f64 (+.f64 (*.f64 1/4 a) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

3 calls:

21.0ms
b
15.0ms
a
12.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.8%2a
99.7%3b
99.6%3(exp.f64 b)
Compiler

Compiled 63 to 52 computations (17.5% saved)

regimes16.0ms (0.4%)

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

1 calls:

14.0ms
a
Results
AccuracySegmentsBranch
99.5%2a
Compiler

Compiled 49 to 41 computations (16.3% saved)

regimes44.0ms (1%)

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

2 calls:

30.0ms
a
12.0ms
b
Results
AccuracySegmentsBranch
82.7%2b
69.3%4a
Compiler

Compiled 46 to 38 computations (17.4% saved)

regimes34.0ms (0.8%)

Counts
7 → 4
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 -1 a)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 1 (-.f64 2 a))
(-.f64 (+.f64 (*.f64 1/4 a) 3/2) 1)
Outputs
1/2
(-.f64 1 1)
(/.f64 1 (-.f64 2 a))
(-.f64 1 1)
Calls

1 calls:

33.0ms
b
Results
AccuracySegmentsBranch
71.2%4b
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes21.0ms (0.5%)

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

1 calls:

19.0ms
b
Results
AccuracySegmentsBranch
71.1%4b
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes20.0ms (0.5%)

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

1 calls:

19.0ms
b
Results
AccuracySegmentsBranch
70.7%4b
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
40.1%1a
40.1%1b
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch25.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-1.1781838756358672e-5
-3.672316540933636e-6
Results
24.0ms80×body256valid
Compiler

Compiled 110 to 95 computations (13.6% saved)

bsearch20.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-171038.21620381012
-1.1781838756358672e-5
Results
18.0ms160×body256valid
Compiler

Compiled 165 to 150 computations (9.1% saved)

bsearch20.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.36373953726872843
43901.3655125303
Results
18.0ms144×body256valid
Compiler

Compiled 177 to 163 computations (7.9% saved)

bsearch59.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.896472509864481e-84
1.6036885346401618e-66
25.0ms
-1.1597350803094516e-42
-3.898931577964363e-49
15.0ms
-14334620.783321656
-329665.5996813174
Results
53.0ms416×body256valid
Compiler

Compiled 351 to 327 computations (6.8% saved)

bsearch51.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.896472509864481e-84
1.6036885346401618e-66
19.0ms
-1.1597350803094516e-42
-3.898931577964363e-49
13.0ms
-14334620.783321656
-329665.5996813174
Results
46.0ms416×body256valid
Compiler

Compiled 351 to 327 computations (6.8% saved)

bsearch52.0ms (1.2%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.896472509864481e-84
1.6036885346401618e-66
20.0ms
-1.1597350803094516e-42
-3.898931577964363e-49
16.0ms
-14334620.783321656
-329665.5996813174
Results
47.0ms384×body256valid
Compiler

Compiled 255 to 250 computations (2% saved)

simplify13.0ms (0.3%)

Algorithm
egg-herbie
Rules
20×+-commutative
16×unsub-neg
10×sub-neg
10×neg-mul-1
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068310
193310
2103310
3112310
4120310
5134310
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(if (<=.f64 a -944473296573929/147573952589676412928) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -720) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b 245) (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1) (-.f64 1 1))
(if (<=.f64 b -13800000) 1/2 (if (<=.f64 b -7218666995694683/6277101735386680763835789423207666416102355444464034512896) (-.f64 1 1) (if (<=.f64 b 6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (/.f64 1 (-.f64 2 a)) (-.f64 1 1))))
(if (<=.f64 b -7800000) 1/2 (if (<=.f64 b -4268429180062943/25108406941546723055343157692830665664409421777856138051584) (-.f64 1 1) (if (<=.f64 b 1821252086461621/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 1 1))))
(if (<=.f64 b -5500000) 1/2 (if (<=.f64 b -7218666995694683/6277101735386680763835789423207666416102355444464034512896) (-.f64 1 1) (if (<=.f64 b 2845706385096283/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) 1/2 (-.f64 1 1))))
1/2
Outputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(if (<=.f64 a -944473296573929/147573952589676412928) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -720) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -720) 0 (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b 245) (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1) (-.f64 1 1))
(if (<=.f64 b 245) (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) 1) 0)
(if (<=.f64 b 245) (+.f64 (+.f64 1 (/.f64 1 (-.f64 2 a))) -1) 0)
(if (<=.f64 b -13800000) 1/2 (if (<=.f64 b -7218666995694683/6277101735386680763835789423207666416102355444464034512896) (-.f64 1 1) (if (<=.f64 b 6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (/.f64 1 (-.f64 2 a)) (-.f64 1 1))))
(if (<=.f64 b -13800000) 1/2 (if (<=.f64 b -7218666995694683/6277101735386680763835789423207666416102355444464034512896) 0 (if (<=.f64 b 6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (/.f64 1 (-.f64 2 a)) 0)))
(if (<=.f64 b -7800000) 1/2 (if (<=.f64 b -4268429180062943/25108406941546723055343157692830665664409421777856138051584) (-.f64 1 1) (if (<=.f64 b 1821252086461621/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 1 1))))
(if (<=.f64 b -7800000) 1/2 (if (<=.f64 b -4268429180062943/25108406941546723055343157692830665664409421777856138051584) 0 (if (<=.f64 b 1821252086461621/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 1/2 (*.f64 a 1/4)) 0)))
(if (<=.f64 b -5500000) 1/2 (if (<=.f64 b -7218666995694683/6277101735386680763835789423207666416102355444464034512896) (-.f64 1 1) (if (<=.f64 b 2845706385096283/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) 1/2 (-.f64 1 1))))
(if (<=.f64 b -5500000) 1/2 (if (<=.f64 b -7218666995694683/6277101735386680763835789423207666416102355444464034512896) 0 (if (<=.f64 b 2845706385096283/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) 1/2 0)))
1/2
Compiler

Compiled 123 to 103 computations (16.3% saved)

soundness289.0ms (6.9%)

Rules
1392×unswap-sqr
1338×fma-def
1088×unswap-sqr
804×times-frac
792×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022182
134182
246182
363182
4111169
5236169
6513169
71372169
83145164
94781162
106738154
02773558
17003450
223413320
0916
18916
2112516
Stop Event
node limit
node limit
node limit
Compiler

Compiled 213 to 119 computations (44.1% saved)

end0.0ms (0%)

preprocess106.0ms (2.5%)

Compiler

Compiled 258 to 204 computations (20.9% saved)

Profiling

Loading profile data...