Details

Time bar (total: 15.7s)

analyze184.0ms (1.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
50%50%50%0.1%0%0%0%5
50%50%50%0.1%0%0%0%6
50%50%50%0.1%0%0%0%7
50%50%50%0.1%0%0%0%8
50%50%50%0.1%0%0%0%9
50%50%50%0.1%0%0%0%10
50%50%50%0.1%0%0%0%11
50%50%50%0.1%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.5s (73.5%)

Results
8.9s7784×body8192exit
1.3s2017×body1024valid
822.0ms5026×body256valid
276.0ms991×body512valid
186.0ms222×body2048valid
Bogosity

preprocess16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
50.1%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓92.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series139.0ms (0.9%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
60.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
47.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite70.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify91.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

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

eval32.0ms (0.2%)

Compiler

Compiled 2074 to 1062 computations (48.8% saved)

prune20.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1118119
Fresh000
Picked101
Done000
Total1128120
Accurracy
98.4%
Counts
120 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶97.7%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
45.6%
(log1p.f64 (exp.f64 b))
▶47.4%
(log1p.f64 (exp.f64 a))
▶48.6%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
49.0%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
45.6%
(log.f64 (+.f64 1 (exp.f64 b)))
▶47.4%
(log.f64 (+.f64 1 (exp.f64 a)))
Compiler

Compiled 136 to 104 computations (23.5% saved)

localize11.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 1 (exp.f64 a))
Compiler

Compiled 30 to 14 computations (53.3% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite56.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1302×pow1
1200×add-exp-log
1200×log1p-expm1-u
1200×expm1-log1p-u
1176×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
113711
2164911
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 a))
Outputs
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 a))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.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 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a)))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) 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))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)

simplify47.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1118×distribute-lft-in
1082×distribute-rgt-in
1002×times-frac
788×associate-/l*
526×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086844
1198790
2594616
32880592
Stop Event
1×node limit
Counts
34 → 50
Calls
Call 1
Inputs
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 a))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.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 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a)))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) 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))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
Outputs
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(fma.f64 a (*.f64 a 1/2) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) (*.f64 1/6 (pow.f64 a 3))))
(+.f64 (fma.f64 1/6 (pow.f64 a 3) a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 (fma.f64 1/6 (pow.f64 a 3) a) (fma.f64 a (*.f64 a 1/2) 2))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (+.f64 2 (expm1.f64 a)) 1)
(*.f64 1 (+.f64 1 (exp.f64 a)))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (+.f64 2 (expm1.f64 a)) 1)
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a)))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (+.f64 2 (expm1.f64 a)) 1)
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (+.f64 2 (expm1.f64 a)) 1)
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (+.f64 2 (expm1.f64 a)) 1)
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (+.f64 2 (expm1.f64 a)) 1)
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) 2)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(fma.f64 1 (exp.f64 a) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))

localize4.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1 (exp.f64 a))
✓99.6%
(log.f64 (+.f64 1 (exp.f64 a)))
Compiler

Compiled 15 to 9 computations (40% saved)

series48.0ms (0.3%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
35.0ms
a
@inf
(log.f64 (+.f64 1 (exp.f64 a)))
12.0ms
a
@-inf
(log.f64 (+.f64 1 (exp.f64 a)))
0.0ms
a
@0
(log.f64 (+.f64 1 (exp.f64 a)))

rewrite52.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1418×pow1
1304×add-exp-log
1304×log1p-expm1-u
1304×expm1-log1p-u
1276×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
11539
217869
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 a)))
Outputs
(+.f64 0 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
(*.f64 1 (log1p.f64 (exp.f64 a)))
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))

simplify69.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2120×fma-def
1268×distribute-lft-in
1094×distribute-rgt-in
676×log-prod
478×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074392
1155360
2456356
32407344
47158344
Stop Event
1×node limit
Counts
24 → 40
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 0 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
(*.f64 1 (log1p.f64 (exp.f64 a)))
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 a a) (log.f64 2)))
(fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 a (log.f64 2)))
(fma.f64 a (fma.f64 a 1/8 1/2) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(fma.f64 a (fma.f64 a 1/8 1/2) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)))
(+.f64 0 (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))) 3)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 a) 2))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 a a)))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
(log1p.f64 (exp.f64 a))
(*.f64 1 (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(log1p.f64 (exp.f64 a))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(log1p.f64 (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(log1p.f64 (exp.f64 a))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(log1p.f64 (exp.f64 a))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(log1p.f64 (exp.f64 a))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(log1p.f64 (exp.f64 a))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(log1p.f64 (exp.f64 a))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(log1p.f64 (exp.f64 a))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 a))

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (exp.f64 a) (+.f64 1 b))
✓94.4%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
Compiler

Compiled 23 to 13 computations (43.5% saved)

series30.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
15.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
13.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms
b
@0
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite92.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1244×prod-diff
896×log-prod
732×fma-def
644×pow-prod-down
480×pow-prod-up
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01038
120438
2272832
Stop Event
1×node limit
Counts
2 → 132
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
Outputs
(+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 0)
(+.f64 0 (log1p.f64 (+.f64 b (exp.f64 a))))
(+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2))) (log.f64 (/.f64 1 (-.f64 (expm1.f64 a) b))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a)))) (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (/.f64 1 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))))
(+.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2)))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (+.f64 (pow.f64 (+.f64 1 b) 2) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a (log1p.f64 b)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a))))) (log.f64 (neg.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2)))) (log.f64 (neg.f64 (-.f64 (expm1.f64 a) b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 b 3))) (log.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (-.f64 (*.f64 b b) (*.f64 (+.f64 (exp.f64 a) 1) b)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 b) 2) (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 (+.f64 1 b) (exp.f64 a))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (*.f64 b b))) (log.f64 (-.f64 (+.f64 (exp.f64 a) 1) b)))
(*.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))
(*.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 2))
(log1p.f64 (expm1.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (expm1.f64 a) b)) (/.f64 (pow.f64 (+.f64 1 b) 2) (-.f64 (expm1.f64 a) b)))
(*.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b)))
(*.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a))) (/.f64 1 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2)) (/.f64 1 (-.f64 (expm1.f64 a) b)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) (pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a))))) (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a))))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a)))))
(/.f64 1 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a))) (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a))) (+.f64 (pow.f64 (+.f64 1 b) 2) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a (log1p.f64 b))))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2)) (-.f64 (expm1.f64 a) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a)))) (neg.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2))) (neg.f64 (-.f64 (expm1.f64 a) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (-.f64 (*.f64 b b) (*.f64 (+.f64 (exp.f64 a) 1) b))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (+.f64 1 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (*.f64 b b)) (-.f64 (+.f64 (exp.f64 a) 1) b))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (expm1.f64 a) b))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a))))) (pow.f64 (E.f64) (log.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (E.f64))
(pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)
(pow.f64 (E.f64) (log1p.f64 (+.f64 b (exp.f64 a))))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (*.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
(pow.f64 (/.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a)))) -1)
(pow.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) 1) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 1 b)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (+.f64 1 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (+.f64 1 b)))))
(log.f64 (*.f64 (exp.f64 b) (exp.f64 (+.f64 (exp.f64 a) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 (exp.f64 a) 1))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 b))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (exp.f64 (+.f64 (exp.f64 a) 1)) (+.f64 1 (expm1.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(exp.f64 (log1p.f64 (+.f64 b (exp.f64 a))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (+.f64 b (exp.f64 a)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(fma.f64 (exp.f64 a) 1 (+.f64 1 b))
(fma.f64 1 (exp.f64 a) (+.f64 1 b))
(fma.f64 1 b (+.f64 (exp.f64 a) 1))
(fma.f64 1 (+.f64 1 b) (exp.f64 a))
(fma.f64 1 (+.f64 (exp.f64 a) 1) b)
(fma.f64 b 1 (+.f64 (exp.f64 a) 1))
(fma.f64 (+.f64 1 b) 1 (exp.f64 a))
(fma.f64 (cbrt.f64 (+.f64 1 b)) (cbrt.f64 (pow.f64 (+.f64 1 b) 2)) (exp.f64 a))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 b) 2)) (cbrt.f64 (+.f64 1 b)) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (+.f64 a a))) (+.f64 1 b))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) (+.f64 1 b))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 (exp.f64 a) 1))
(fma.f64 (sqrt.f64 (+.f64 1 b)) (sqrt.f64 (+.f64 1 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 1 b))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 (exp.f64 a) 1))
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b 1) 1)) (exp.f64 a))
(fma.f64 (-.f64 1 (*.f64 b b)) (/.f64 1 (-.f64 1 b)) (exp.f64 a))
(fma.f64 (+.f64 (exp.f64 a) 1) 1 b)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)) b)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) b)

simplify112.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
940×unswap-sqr
734×times-frac
680×log-prod
526×distribute-lft-out
506×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03985998
110005898
232105866
Stop Event
1×node limit
Counts
180 → 251
Calls
Call 1
Inputs
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b))))
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b
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b
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(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 (exp.f64 a) 1))
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b 1) 1)) (exp.f64 a))
(fma.f64 (-.f64 1 (*.f64 b b)) (/.f64 1 (-.f64 1 b)) (exp.f64 a))
(fma.f64 (+.f64 (exp.f64 a) 1) 1 b)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)) b)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) b)
Outputs
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (*.f64 (*.f64 1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 1/2 (*.f64 a (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (log.f64 (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))))) (log.f64 (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(+.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 2 (pow.f64 (+.f64 2 b) 3))) (/.f64 3 (pow.f64 (+.f64 2 b) 2)))) (*.f64 (*.f64 1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (fma.f64 1/2 (*.f64 a (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 b)) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3 (pow.f64 (+.f64 2 b) 2)))))))))
(+.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 b)) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3 (pow.f64 (+.f64 2 b) 2))))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (*.f64 (*.f64 1/2 a) a))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (*.f64 1/3 (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (log.f64 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)) (/.f64 (exp.f64 a) b)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b)))))
(+.f64 (log.f64 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))) (/.f64 (exp.f64 a) b)))
(+.f64 (log.f64 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b))) (/.f64 (exp.f64 a) b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 -1))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 -1))) (log.f64 (/.f64 -1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (/.f64 1 b) (log.f64 -1)) (log.f64 (/.f64 -1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (+.f64 (/.f64 (exp.f64 a) b) (log.f64 -1)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)) (log.f64 -1))) (log.f64 (/.f64 -1 b)))
(+.f64 (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)) (log.f64 -1)) (-.f64 (/.f64 (exp.f64 a) b) (log.f64 (/.f64 -1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))) (log.f64 -1))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))) (log.f64 -1))) (log.f64 (/.f64 -1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b))) (log.f64 -1)) (log.f64 (/.f64 -1 b))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 2 (+.f64 b a))
(+.f64 b (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 b a)))
(+.f64 (+.f64 b a) (fma.f64 1/2 (*.f64 a a) 2))
(fma.f64 1/2 (*.f64 a a) (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) (fma.f64 1/6 (pow.f64 a 3) b)))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) b)) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 0)
(log1p.f64 (+.f64 b (exp.f64 a)))
(+.f64 0 (log1p.f64 (+.f64 b (exp.f64 a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2))) (log.f64 (/.f64 1 (-.f64 (expm1.f64 a) b))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 2) a) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(+.f64 (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a)))) (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a)))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (/.f64 1 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 3) a))) (log.f64 (fma.f64 (+.f64 b 1) (+.f64 1 (-.f64 b (exp.f64 a))) (exp.f64 (+.f64 a a)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))) (log.f64 (fma.f64 (+.f64 b 1) (+.f64 1 (-.f64 b (exp.f64 a))) (pow.f64 (exp.f64 2) a))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))) (log.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(+.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 3) a))) (log.f64 (fma.f64 (+.f64 b 1) (+.f64 1 (-.f64 b (exp.f64 a))) (exp.f64 (+.f64 a a)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))) (log.f64 (fma.f64 (+.f64 b 1) (+.f64 1 (-.f64 b (exp.f64 a))) (pow.f64 (exp.f64 2) a))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))) (log.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2)))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 2) a) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 2) a) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 3) a))) (log.f64 (fma.f64 (+.f64 b 1) (+.f64 1 (-.f64 b (exp.f64 a))) (exp.f64 (+.f64 a a)))))
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(/.f64 (-.f64 (pow.f64 (+.f64 1 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (+.f64 1 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (+.f64 b 1) 2) (exp.f64 (+.f64 a a))) (+.f64 1 (-.f64 b (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 1) 2) (pow.f64 (exp.f64 2) a)) (+.f64 1 (-.f64 b (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 1) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (+.f64 b 1) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (*.f64 b b)) (-.f64 (+.f64 (exp.f64 a) 1) b))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (+.f64 (exp.f64 a) (-.f64 1 b)))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (expm1.f64 a) b))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 b 1) 2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (expm1.f64 a) b))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 (exp.f64 2) a) (pow.f64 (+.f64 b 1) 2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (expm1.f64 a) b))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (expm1.f64 a) b))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a))))) (pow.f64 (E.f64) (log.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 3) a)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (+.f64 b 1) (+.f64 1 (-.f64 b (exp.f64 a))) (exp.f64 (+.f64 a a))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (+.f64 b 1) (+.f64 1 (-.f64 b (exp.f64 a))) (pow.f64 (exp.f64 2) a)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (E.f64))
(pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (E.f64) (log1p.f64 (+.f64 b (exp.f64 a))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 3)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2) 1/2)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3) 1/3)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (*.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (/.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (+.f64 1 b) 3) (exp.f64 (*.f64 3 a)))) -1)
(/.f64 1 (/.f64 (fma.f64 (+.f64 b 1) (+.f64 1 (-.f64 b (exp.f64 a))) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 3) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (+.f64 b 1) (+.f64 1 (-.f64 b (exp.f64 a))) (pow.f64 (exp.f64 2) a)))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(pow.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 b) 2))) -1)
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 b 1) 2)) (-.f64 (expm1.f64 a) b))
(/.f64 (-.f64 (pow.f64 (exp.f64 2) a) (pow.f64 (+.f64 b 1) 2)) (-.f64 (expm1.f64 a) b))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (-.f64 (expm1.f64 a) b))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (fabs.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) 1) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 1 b)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (+.f64 1 b))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (+.f64 1 b)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 b) (exp.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (+.f64 1 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 b))) (exp.f64 (exp.f64 a))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (+.f64 (exp.f64 a) 1)) (+.f64 1 (expm1.f64 b))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(exp.f64 (log1p.f64 (+.f64 b (exp.f64 a))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 3))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (+.f64 b (exp.f64 a)))) 1/3))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 (exp.f64 a) 1 (+.f64 1 b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 1 (exp.f64 a) (+.f64 1 b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 1 b (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 1 (+.f64 1 b) (exp.f64 a))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 1 (+.f64 (exp.f64 a) 1) b)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 b 1 (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 (+.f64 1 b) 1 (exp.f64 a))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 (cbrt.f64 (+.f64 1 b)) (cbrt.f64 (pow.f64 (+.f64 1 b) 2)) (exp.f64 a))
(fma.f64 (cbrt.f64 (+.f64 b 1)) (cbrt.f64 (pow.f64 (+.f64 b 1) 2)) (exp.f64 a))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 b) 2)) (cbrt.f64 (+.f64 1 b)) (exp.f64 a))
(fma.f64 (cbrt.f64 (+.f64 b 1)) (cbrt.f64 (pow.f64 (+.f64 b 1) 2)) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (+.f64 a a))) (+.f64 1 b))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (+.f64 a a))) (+.f64 b 1))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (exp.f64 2) a)) (+.f64 b 1))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (+.f64 b 1))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) (+.f64 1 b))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (+.f64 a a))) (+.f64 b 1))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (exp.f64 2) a)) (+.f64 b 1))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (+.f64 b 1))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 1 b)) (sqrt.f64 (+.f64 1 b)) (exp.f64 a))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 1 b))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b 1) 1)) (exp.f64 a))
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b -1) 1)) (exp.f64 a))
(+.f64 (exp.f64 a) (/.f64 (+.f64 1 (pow.f64 b 3)) (fma.f64 b (+.f64 b -1) 1)))
(fma.f64 (-.f64 1 (*.f64 b b)) (/.f64 1 (-.f64 1 b)) (exp.f64 a))
(+.f64 (exp.f64 a) (/.f64 (-.f64 1 (*.f64 b b)) (-.f64 1 b)))
(fma.f64 (+.f64 (exp.f64 a) 1) 1 b)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)) b)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) b)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 b (exp.f64 a)))

localize8.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓97.7%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series52.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
31.0ms
b
@-inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
7.0ms
a
@inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms
b
@inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms
a
@-inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
0.0ms
a
@0
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

rewrite58.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1822×pow1
1676×add-exp-log
1676×log1p-expm1-u
1674×expm1-log1p-u
1642×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
118019
2229019
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Outputs
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 1)
(*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))

simplify52.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1506×distribute-rgt-in
1450×distribute-lft-in
800×associate-*r*
726×associate-*l*
584×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0861237
12171233
27401221
339621221
Stop Event
1×node limit
Counts
39 → 42
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 1)
(*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 a 3)) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (log1p.f64 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 1)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 3)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3) 1/3)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2)
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

eval123.0ms (0.8%)

Compiler

Compiled 7304 to 4192 computations (42.6% saved)

prune68.0ms (0.4%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New4249433
Fresh123
Picked011
Done134
Total42615441
Accurracy
98.4%
Counts
441 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.1%
(+.f64 (*.f64 1/2 a) (log.f64 2))
✓98.4%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶98.4%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
55.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
95.6%
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
✓97.7%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶95.9%
(log1p.f64 (+.f64 b (exp.f64 a)))
45.6%
(log1p.f64 (exp.f64 b))
✓47.4%
(log1p.f64 (exp.f64 a))
✓48.6%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
45.6%
(log.f64 (+.f64 2 b))
▶43.7%
(log.f64 (+.f64 2 a))
49.0%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
1.5%
(log.f64 b)
▶45.4%
(log.f64 2)
Compiler

Compiled 212 to 165 computations (22.2% saved)

localize26.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1 (exp.f64 a))
✓100.0%
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
✓99.3%
(log1p.f64 (+.f64 1 (exp.f64 a)))
Compiler

Compiled 45 to 25 computations (44.4% saved)

series62.0ms (0.4%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
49.0ms
a
@-inf
(log1p.f64 (+.f64 1 (exp.f64 a)))
13.0ms
a
@inf
(log1p.f64 (+.f64 1 (exp.f64 a)))
0.0ms
a
@0
(log1p.f64 (+.f64 1 (exp.f64 a)))
0.0ms
a
@0
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
0.0ms
a
@inf
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))

rewrite69.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1464×pow1
1350×log1p-expm1-u
1348×add-exp-log
1348×expm1-log1p-u
1322×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
115926
2185426
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(log1p.f64 (+.f64 1 (exp.f64 a)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
Outputs
(-.f64 (+.f64 1 (log.f64 (+.f64 2 (exp.f64 a)))) 1)
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 2))
(log.f64 (+.f64 2 (exp.f64 a)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(-.f64 (+.f64 2 (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 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (hypot.f64 1 (sqrt.f64 (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 (+.f64 2 (exp.f64 a)) 3) 1) (+.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 a)) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(/.f64 (-.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) 1) (+.f64 (+.f64 2 (exp.f64 a)) 1))
(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 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (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)

simplify61.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
872×fma-def
636×unswap-sqr
574×associate-*r/
506×div-sub
468×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01281215
13111155
210581149
343941149
Stop Event
1×node limit
Counts
73 → 78
Calls
Call 1
Inputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 (exp.f64 a)))) 1)
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 2))
(log.f64 (+.f64 2 (exp.f64 a)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(-.f64 (+.f64 2 (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 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (hypot.f64 1 (sqrt.f64 (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 (+.f64 2 (exp.f64 a)) 3) 1) (+.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 a)) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(/.f64 (-.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) 1) (+.f64 (+.f64 2 (exp.f64 a)) 1))
(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 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (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 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(fma.f64 1/3 a (log.f64 3))
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 a (*.f64 a 1/9) (log.f64 3)))
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3))))
(fma.f64 1/3 a (fma.f64 1/81 (pow.f64 a 3) (fma.f64 a (*.f64 a 1/9) (log.f64 3))))
(fma.f64 1/3 a (fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/9 (*.f64 a a) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 a (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) a))
(+.f64 a (fma.f64 a (*.f64 a 1/2) 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 a 2) (*.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 (*.f64 a a) 1/2 2))
(fma.f64 a (*.f64 a 1/2) (fma.f64 (pow.f64 a 3) 1/6 (+.f64 a 2)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 a (*.f64 a 1/2) 2))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 (exp.f64 a)))) 1)
(log.f64 (+.f64 2 (exp.f64 a)))
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 a))))
(log.f64 (+.f64 2 (exp.f64 a)))
(*.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(log.f64 (+.f64 2 (exp.f64 a)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2))
(log.f64 (+.f64 2 (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(log.f64 (+.f64 2 (exp.f64 a)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(log.f64 (+.f64 2 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(log.f64 (+.f64 2 (exp.f64 a)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 3)
(log.f64 (+.f64 2 (exp.f64 a)))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3) 1/3)
(log.f64 (+.f64 2 (exp.f64 a)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2)
(log.f64 (+.f64 2 (exp.f64 a)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 2))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3))
(log.f64 (+.f64 2 (exp.f64 a)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(log.f64 (+.f64 2 (exp.f64 a)))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(log.f64 (+.f64 2 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(-.f64 (+.f64 2 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(*.f64 1 (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (hypot.f64 1 (sqrt.f64 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.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) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 3 a))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.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) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 3 a))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(/.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 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 3 a))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.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) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 3 a))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.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 (+.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) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 3 a))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(/.f64 (-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 3) 1) (+.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 a)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 3) -1) (fma.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a)) (+.f64 2 (+.f64 (exp.f64 a) 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 a)) 3)) (fma.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a)) (+.f64 3 (exp.f64 a))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (exp.f64 a)) 3)) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 3 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(/.f64 (-.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) 1) (+.f64 (+.f64 2 (exp.f64 a)) 1))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 2)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(fma.f64 1 (exp.f64 a) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))

localize3.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (+.f64 2 a))
Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1444×pow1
1340×add-exp-log
1338×log1p-expm1-u
1338×expm1-log1p-u
1314×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114511
2177511
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.f64 2 a))
Outputs
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 a))) (log.f64 (sqrt.f64 (+.f64 2 a))))
(+.f64 0 (log.f64 (+.f64 2 a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)) (log.f64 (cbrt.f64 (+.f64 2 a))))
(-.f64 (log.f64 (-.f64 4 (*.f64 a a))) (log.f64 (-.f64 2 a)))
(-.f64 (log.f64 (+.f64 (pow.f64 a 3) 8)) (log.f64 (+.f64 4 (*.f64 a (-.f64 a 2)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 a))) 1)
(*.f64 (log.f64 (+.f64 2 a)) 1)
(*.f64 1 (log.f64 (+.f64 2 a)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) 2) (cbrt.f64 (log.f64 (+.f64 2 a))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 a))) (sqrt.f64 (log.f64 (+.f64 2 a))))
(pow.f64 (log.f64 (+.f64 2 a)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 a))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 a)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 a)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 a))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 a))))
(log1p.f64 (-.f64 (+.f64 2 a) 1))

simplify51.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1274×distribute-lft-in
1126×distribute-rgt-in
734×associate-+r+
670×fma-def
624×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098680
1234598
2676598
33118598
Stop Event
1×node limit
Counts
32 → 56
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/8 (pow.f64 a 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/24 (pow.f64 a 3)) (+.f64 (*.f64 -1/8 (pow.f64 a 2)) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a)))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 a)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 a))) (log.f64 (sqrt.f64 (+.f64 2 a))))
(+.f64 0 (log.f64 (+.f64 2 a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)) (log.f64 (cbrt.f64 (+.f64 2 a))))
(-.f64 (log.f64 (-.f64 4 (*.f64 a a))) (log.f64 (-.f64 2 a)))
(-.f64 (log.f64 (+.f64 (pow.f64 a 3) 8)) (log.f64 (+.f64 4 (*.f64 a (-.f64 a 2)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 a))) 1)
(*.f64 (log.f64 (+.f64 2 a)) 1)
(*.f64 1 (log.f64 (+.f64 2 a)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) 2) (cbrt.f64 (log.f64 (+.f64 2 a))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 a))) (sqrt.f64 (log.f64 (+.f64 2 a))))
(pow.f64 (log.f64 (+.f64 2 a)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 a))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 a)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 a)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 a))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 a))))
(log1p.f64 (-.f64 (+.f64 2 a) 1))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/8 (pow.f64 a 2)) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 -1/8 (*.f64 a a) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 a (*.f64 a -1/8) (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/24 (pow.f64 a 3)) (+.f64 (*.f64 -1/8 (pow.f64 a 2)) (log.f64 2))))
(fma.f64 1/2 a (fma.f64 1/24 (pow.f64 a 3) (fma.f64 -1/8 (*.f64 a a) (log.f64 2))))
(fma.f64 1/2 a (fma.f64 a (*.f64 a -1/8) (fma.f64 1/24 (pow.f64 a 3) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 a)))
(neg.f64 (neg.f64 (log.f64 a)))
(log.f64 a)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a)))
(fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a))
(+.f64 (log.f64 a) (/.f64 2 a))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (/.f64 2 (*.f64 a a)))
(+.f64 (log.f64 a) (+.f64 (/.f64 2 a) (/.f64 -2 (*.f64 a a))))
(+.f64 (log.f64 a) (+.f64 (/.f64 2 a) (/.f64 (/.f64 -2 a) a)))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a)))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (/.f64 8/3 (pow.f64 a 3))) (/.f64 2 (*.f64 a a)))
(+.f64 (+.f64 (log.f64 a) (/.f64 2 a)) (+.f64 (/.f64 8/3 (pow.f64 a 3)) (/.f64 -2 (*.f64 a a))))
(+.f64 (log.f64 a) (+.f64 (/.f64 8/3 (pow.f64 a 3)) (+.f64 (/.f64 2 a) (/.f64 -2 (*.f64 a a)))))
(+.f64 (+.f64 (log.f64 a) (/.f64 2 a)) (+.f64 (/.f64 8/3 (pow.f64 a 3)) (/.f64 (/.f64 -2 a) a)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(neg.f64 (neg.f64 (log.f64 a)))
(log.f64 a)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 a)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a))
(+.f64 (log.f64 a) (/.f64 2 a))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (/.f64 2 (*.f64 a a)))
(+.f64 (log.f64 a) (+.f64 (/.f64 2 a) (/.f64 -2 (*.f64 a a))))
(+.f64 (log.f64 a) (+.f64 (/.f64 2 a) (/.f64 (/.f64 -2 a) a)))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (/.f64 8/3 (pow.f64 a 3))) (/.f64 2 (*.f64 a a)))
(+.f64 (+.f64 (log.f64 a) (/.f64 2 a)) (+.f64 (/.f64 8/3 (pow.f64 a 3)) (/.f64 -2 (*.f64 a a))))
(+.f64 (log.f64 a) (+.f64 (/.f64 8/3 (pow.f64 a 3)) (+.f64 (/.f64 2 a) (/.f64 -2 (*.f64 a a)))))
(+.f64 (+.f64 (log.f64 a) (/.f64 2 a)) (+.f64 (/.f64 8/3 (pow.f64 a 3)) (/.f64 (/.f64 -2 a) a)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 a))) (log.f64 (sqrt.f64 (+.f64 2 a))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 a))))
(+.f64 0 (log.f64 (+.f64 2 a)))
(log.f64 (+.f64 2 a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 a)) 2)) (log.f64 (cbrt.f64 (+.f64 2 a))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 a)))) (log.f64 (cbrt.f64 (+.f64 2 a))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 a))))
(-.f64 (log.f64 (-.f64 4 (*.f64 a a))) (log.f64 (-.f64 2 a)))
(-.f64 (log.f64 (+.f64 (pow.f64 a 3) 8)) (log.f64 (+.f64 4 (*.f64 a (-.f64 a 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 a 3) 8)) (log.f64 (fma.f64 a (-.f64 a 2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 a 3) 8)) (log.f64 (fma.f64 a (+.f64 a -2) 4)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 a))) 1)
(log.f64 (+.f64 2 a))
(*.f64 (log.f64 (+.f64 2 a)) 1)
(log.f64 (+.f64 2 a))
(*.f64 1 (log.f64 (+.f64 2 a)))
(log.f64 (+.f64 2 a))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) 2))
(log.f64 (+.f64 2 a))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) 2) (cbrt.f64 (log.f64 (+.f64 2 a))))
(log.f64 (+.f64 2 a))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 a))) (sqrt.f64 (log.f64 (+.f64 2 a))))
(log.f64 (+.f64 2 a))
(pow.f64 (log.f64 (+.f64 2 a)) 1)
(log.f64 (+.f64 2 a))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 a))) 3)
(log.f64 (+.f64 2 a))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 a)) 3) 1/3)
(log.f64 (+.f64 2 a))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 a))) 2)
(log.f64 (+.f64 2 a))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 a)) 2))
(log.f64 (+.f64 2 a))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 a)) 3))
(log.f64 (+.f64 2 a))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 a))))
(log.f64 (+.f64 2 a))
(exp.f64 (log.f64 (log.f64 (+.f64 2 a))))
(log.f64 (+.f64 2 a))
(log1p.f64 (-.f64 (+.f64 2 a) 1))
(log1p.f64 (+.f64 (+.f64 2 a) -1))
(log1p.f64 (+.f64 a 1))

localize9.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 1/2 a) (log.f64 2))
Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite65.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1824×pow1
1692×add-exp-log
1690×log1p-expm1-u
1690×expm1-log1p-u
1660×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
118813
2232413
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 a) (log.f64 2))
Outputs
(-.f64 (+.f64 1 (fma.f64 1/2 a (log.f64 2))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 a a)) (-.f64 (*.f64 1/2 a) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 a) (log.f64 2))))
(*.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 a (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 a (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) (sqrt.f64 (fma.f64 1/2 a (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 a) (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 1/2 (*.f64 a (log.f64 2))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3)))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 a) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 a a))) (-.f64 (log.f64 2) (*.f64 1/2 a)))
(pow.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) a)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 a (log.f64 2))))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 a 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 a))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 a))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 a)) 2) (cbrt.f64 (*.f64 1/2 a)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 a))
(fma.f64 (sqrt.f64 (*.f64 1/2 a)) (sqrt.f64 (*.f64 1/2 a)) (log.f64 2))

simplify57.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
954×fma-neg
832×cancel-sign-sub-inv
774×associate-*r*
734×associate-*l*
654×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0941330
12331136
2727924
34059924
Stop Event
1×node limit
Counts
38 → 44
Calls
Call 1
Inputs
(log.f64 2)
(*.f64 1/2 a)
(*.f64 1/2 a)
(-.f64 (+.f64 1 (fma.f64 1/2 a (log.f64 2))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 a a)) (-.f64 (*.f64 1/2 a) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 a) (log.f64 2))))
(*.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 a (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 a (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) (sqrt.f64 (fma.f64 1/2 a (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 a) (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 1/2 (*.f64 a (log.f64 2))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3)))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 a) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 a a))) (-.f64 (log.f64 2) (*.f64 1/2 a)))
(pow.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) a)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 a (log.f64 2))))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 a 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 a))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 a))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 a)) 2) (cbrt.f64 (*.f64 1/2 a)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 a))
(fma.f64 (sqrt.f64 (*.f64 1/2 a)) (sqrt.f64 (*.f64 1/2 a)) (log.f64 2))
Outputs
(log.f64 2)
(*.f64 1/2 a)
(*.f64 1/2 a)
(-.f64 (+.f64 1 (fma.f64 1/2 a (log.f64 2))) 1)
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(-.f64 (/.f64 (*.f64 1/4 (*.f64 a a)) (-.f64 (*.f64 1/2 a) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 a) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (fma.f64 a (*.f64 a -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(*.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(*.f64 1 (fma.f64 1/2 a (log.f64 2)))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 a (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) (sqrt.f64 (fma.f64 1/2 a (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (/.f64 1 (fma.f64 1/4 (*.f64 a a) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 a -1/2)) (*.f64 1/4 (*.f64 a a))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 a -1/2 (log.f64 2)) (*.f64 a (*.f64 a 1/4))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 a) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (fma.f64 a (*.f64 a -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3)))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (/.f64 1 (fma.f64 1/4 (*.f64 a a) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 a -1/2)) (*.f64 1/4 (*.f64 a a))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 a -1/2 (log.f64 2)) (*.f64 a (*.f64 a 1/4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (fma.f64 a (*.f64 a -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (/.f64 1 (fma.f64 1/4 (*.f64 a a) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 a -1/2)) (*.f64 1/4 (*.f64 a a))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 a -1/2 (log.f64 2)) (*.f64 a (*.f64 a 1/4))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 1/2 (*.f64 a (log.f64 2))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (/.f64 1 (fma.f64 1/4 (*.f64 a a) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 a -1/2)) (*.f64 1/4 (*.f64 a a))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 a -1/2 (log.f64 2)) (*.f64 a (*.f64 a 1/4))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (fma.f64 a (*.f64 a -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3)))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (/.f64 1 (fma.f64 1/4 (*.f64 a a) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 a -1/2)) (*.f64 1/4 (*.f64 a a))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 a -1/2 (log.f64 2)) (*.f64 a (*.f64 a 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 a) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (fma.f64 a (*.f64 a -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 a a))) (-.f64 (log.f64 2) (*.f64 1/2 a)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (fma.f64 a (*.f64 a -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(pow.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 3)
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) 2)
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) a)))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 a (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 a 1/2 (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(fma.f64 1 (*.f64 1/2 a) (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 a))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 a))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 a)) 2) (cbrt.f64 (*.f64 1/2 a)) (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 a))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 a)) (sqrt.f64 (*.f64 1/2 a)) (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 a (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) 0)
(fma.f64 1/2 a (log.f64 2))

localize6.0ms (0%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval65.0ms (0.4%)

Compiler

Compiled 3380 to 2165 computations (35.9% saved)

prune39.0ms (0.2%)

Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New2253228
Fresh066
Picked011
Done178
Total22617243
Accurracy
98.4%
Counts
243 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓45.1%
(+.f64 (*.f64 1/2 a) (log.f64 2))
✓98.4%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
55.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
55.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
▶95.6%
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
▶2.6%
(*.f64 1/2 a)
✓97.7%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
✓95.9%
(log1p.f64 (+.f64 b (exp.f64 a)))
43.7%
(log1p.f64 (+.f64 a 1))
▶45.6%
(log1p.f64 (exp.f64 b))
✓47.4%
(log1p.f64 (exp.f64 a))
✓48.6%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶45.6%
(log.f64 (+.f64 2 b))
✓43.7%
(log.f64 (+.f64 2 a))
▶49.0%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
1.5%
(log.f64 b)
✓45.4%
(log.f64 2)
Compiler

Compiled 203 to 160 computations (21.2% saved)

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.2%
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
✓99.1%
(*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))
Compiler

Compiled 33 to 13 computations (60.6% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
b
@0
(*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))
0.0ms
a
@0
(*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))
0.0ms
b
@-inf
(*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))
0.0ms
b
@inf
(*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))
0.0ms
a
@-inf
(*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))

rewrite67.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1008×prod-diff
996×log-prod
588×pow-prod-down
494×pow-prod-up
458×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
124736
2273436
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
Outputs
(+.f64 0 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))) (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 1)
(pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(log.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(exp.f64 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(+.f64 0 (log1p.f64 (+.f64 b (exp.f64 a))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)) 2)) (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))) (log.f64 (sqrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 b (exp.f64 a)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b (exp.f64 a)) 2) (+.f64 b (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 b (exp.f64 a)) 2))) (log.f64 (-.f64 1 (+.f64 b (exp.f64 a)))))
(pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))
(log.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 2))
(log1p.f64 (+.f64 b (exp.f64 a)))

simplify67.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1692×fma-def
928×associate-+l+
898×associate-+r+
856×distribute-lft-in
828×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02293397
16113299
219543211
Stop Event
1×node limit
Counts
91 → 166
Calls
Call 1
Inputs
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/9 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a)))))))
(*.f64 -1/3 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (*.f64 -1/3 (log.f64 (/.f64 1 b))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (*.f64 -1/3 (log.f64 (/.f64 1 b)))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 (*.f64 -1/3 (log.f64 (/.f64 1 b))) (*.f64 1/9 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))))))
(*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))
(+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))) (*.f64 1/9 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))))))
(*.f64 1/3 (log.f64 (+.f64 2 b)))
(+.f64 (*.f64 1/3 (log.f64 (+.f64 2 b))) (*.f64 1/3 (/.f64 a (+.f64 2 b))))
(+.f64 (*.f64 1/3 (log.f64 (+.f64 2 b))) (+.f64 (*.f64 1/3 (/.f64 a (+.f64 2 b))) (*.f64 1/6 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (*.f64 1/3 (log.f64 (+.f64 2 b))) (+.f64 (*.f64 1/3 (/.f64 a (+.f64 2 b))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/6 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(+.f64 0 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))) (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 1)
(pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(log.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(exp.f64 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(+.f64 0 (log1p.f64 (+.f64 b (exp.f64 a))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)) 2)) (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))) (log.f64 (sqrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 b (exp.f64 a)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b (exp.f64 a)) 2) (+.f64 b (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 b (exp.f64 a)) 2))) (log.f64 (-.f64 1 (+.f64 b (exp.f64 a)))))
(pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))
(log.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 2))
(log1p.f64 (+.f64 b (exp.f64 a)))
Outputs
(*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a))))
(*.f64 1/3 (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 1/3 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/6 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 1/3 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/3 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b))))
(fma.f64 1/3 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 -1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 b b)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/9 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a)))))))
(fma.f64 -1/6 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 1/9 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/3 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(fma.f64 -1/6 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (fma.f64 1/3 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (*.f64 1/9 (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(fma.f64 1/3 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/9 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (*.f64 (/.f64 -1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 b b))))
(*.f64 -1/3 (log.f64 (/.f64 1 b)))
(*.f64 -1/3 (neg.f64 (log.f64 b)))
(neg.f64 (*.f64 (log.f64 b) -1/3))
(*.f64 1/3 (log.f64 b))
(+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (*.f64 -1/3 (log.f64 (/.f64 1 b))))
(fma.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b) (*.f64 -1/3 (neg.f64 (log.f64 b))))
(fma.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b) (neg.f64 (*.f64 (log.f64 b) -1/3)))
(+.f64 (*.f64 1/3 (log.f64 b)) (/.f64 (fma.f64 1/3 (exp.f64 a) 1/3) b))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (*.f64 -1/3 (log.f64 (/.f64 1 b)))))
(fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b) (*.f64 -1/3 (neg.f64 (log.f64 b)))))
(fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b) (neg.f64 (*.f64 (log.f64 b) -1/3))))
(+.f64 (*.f64 1/3 (log.f64 b)) (fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 (fma.f64 1/3 (exp.f64 a) 1/3) b)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 (*.f64 -1/3 (log.f64 (/.f64 1 b))) (*.f64 1/9 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b) (fma.f64 -1/3 (neg.f64 (log.f64 b)) (*.f64 1/9 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b) (fma.f64 1/9 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (neg.f64 (*.f64 (log.f64 b) -1/3)))))
(+.f64 (fma.f64 1/9 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (*.f64 1/3 (log.f64 b))) (fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 (fma.f64 1/3 (exp.f64 a) 1/3) b)))
(*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))
(*.f64 1/3 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)))
(*.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))))
(+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))))
(*.f64 1/3 (+.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))))
(*.f64 1/3 (+.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))))
(fma.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (/.f64 (fma.f64 1/3 (exp.f64 a) 1/3) b))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))))
(fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (*.f64 1/3 (+.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)))))
(fma.f64 1/3 (+.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b))))
(fma.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 (fma.f64 1/3 (exp.f64 a) 1/3) b)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))) (*.f64 1/9 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (+.f64 1 (exp.f64 a)) b) (fma.f64 1/3 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (*.f64 1/9 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (+.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) (/.f64 (*.f64 1/9 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 b 3))))
(fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (fma.f64 1/9 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 (fma.f64 1/3 (exp.f64 a) 1/3) b))))
(*.f64 1/3 (log.f64 (+.f64 2 b)))
(*.f64 1/3 (log.f64 (+.f64 b 2)))
(+.f64 (*.f64 1/3 (log.f64 (+.f64 2 b))) (*.f64 1/3 (/.f64 a (+.f64 2 b))))
(*.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))
(+.f64 (*.f64 1/3 (log.f64 (+.f64 2 b))) (+.f64 (*.f64 1/3 (/.f64 a (+.f64 2 b))) (*.f64 1/6 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(fma.f64 1/3 (log.f64 (+.f64 b 2)) (fma.f64 1/3 (/.f64 a (+.f64 b 2)) (*.f64 1/6 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 b 2)) (/.f64 1 (pow.f64 (+.f64 b 2) 2)))))))
(fma.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 -1 (pow.f64 (+.f64 b 2) 2))) (*.f64 1/6 (*.f64 a a))))
(fma.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 -1 (pow.f64 (+.f64 b 2) 2))) (*.f64 a (*.f64 a 1/6))))
(+.f64 (*.f64 1/3 (log.f64 (+.f64 2 b))) (+.f64 (*.f64 1/3 (/.f64 a (+.f64 2 b))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/6 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(fma.f64 1/3 (log.f64 (+.f64 b 2)) (fma.f64 1/3 (/.f64 a (+.f64 b 2)) (fma.f64 1/18 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 2 (pow.f64 (+.f64 b 2) 3))) (/.f64 3 (pow.f64 (+.f64 b 2) 2)))) (*.f64 1/6 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 b 2)) (/.f64 1 (pow.f64 (+.f64 b 2) 2))))))))
(fma.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) (fma.f64 1/6 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 -1 (pow.f64 (+.f64 b 2) 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (+.f64 (/.f64 2 (pow.f64 (+.f64 b 2) 3)) (/.f64 -3 (pow.f64 (+.f64 b 2) 2)))) (*.f64 1/18 (pow.f64 a 3)))))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2 (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2 (log1p.f64 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2 (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) -1/2 (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) -1/2 (/.f64 1 b)) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (+.f64 (/.f64 1 b) (log.f64 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b)))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) -1/2 (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) b)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (fma.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) -1/2 (/.f64 1 b))) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 -1))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 -1))) (log.f64 (/.f64 -1 b)))
(+.f64 (+.f64 (log.f64 -1) (/.f64 (exp.f64 a) b)) (-.f64 (/.f64 1 b) (log.f64 (/.f64 -1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (fma.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) -1/2 (/.f64 1 b)))) (log.f64 (/.f64 -1 b)))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) -1/2 (/.f64 1 b)) (-.f64 (/.f64 (exp.f64 a) b) (log.f64 (/.f64 -1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))))))
(-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) -1/2 (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))) (+.f64 (log.f64 -1) (/.f64 (exp.f64 a) b))) (log.f64 (/.f64 -1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (fma.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) -1/2 (/.f64 1 b)))))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b 2))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (/.f64 a (+.f64 b 2)) (+.f64 (log.f64 (+.f64 b 2)) (*.f64 (*.f64 1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 b 2)) (/.f64 1 (pow.f64 (+.f64 b 2) 2))))))
(+.f64 (/.f64 a (+.f64 b 2)) (fma.f64 (*.f64 (*.f64 a a) 1/2) (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 -1 (pow.f64 (+.f64 b 2) 2))) (log.f64 (+.f64 b 2))))
(+.f64 (/.f64 a (+.f64 b 2)) (fma.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 -1 (pow.f64 (+.f64 b 2) 2))) (*.f64 (*.f64 a a) 1/2) (log.f64 (+.f64 b 2))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(+.f64 (/.f64 a (+.f64 b 2)) (+.f64 (log.f64 (+.f64 b 2)) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 2 (pow.f64 (+.f64 b 2) 3))) (/.f64 3 (pow.f64 (+.f64 b 2) 2)))) (*.f64 (*.f64 1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 b 2)) (/.f64 1 (pow.f64 (+.f64 b 2) 2)))))))
(+.f64 (log.f64 (+.f64 b 2)) (+.f64 (/.f64 a (+.f64 b 2)) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 b 2)) (+.f64 (/.f64 2 (pow.f64 (+.f64 b 2) 3)) (/.f64 -3 (pow.f64 (+.f64 b 2) 2))))) (*.f64 (*.f64 a a) (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 -1 (pow.f64 (+.f64 b 2) 2))) 1/2)))))
(+.f64 (/.f64 a (+.f64 b 2)) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 b 2)) (+.f64 (/.f64 2 (pow.f64 (+.f64 b 2) 3)) (/.f64 -3 (pow.f64 (+.f64 b 2) 2))))) (fma.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 -1 (pow.f64 (+.f64 b 2) 2))) (*.f64 (*.f64 a a) 1/2) (log.f64 (+.f64 b 2)))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(+.f64 0 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))))
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))) (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))))
(*.f64 2 (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))))
(log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 1)
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 3)
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(pow.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) 1/2)
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(pow.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 3) 1/3)
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(pow.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 2)
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(sqrt.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(log.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)))
(*.f64 2 (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))))
(log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(cbrt.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) 3))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(exp.f64 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 1))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) 1) 1))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 3))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 1/3))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))) 2))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(log1p.f64 (expm1.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))
(*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))
(+.f64 0 (log1p.f64 (+.f64 b (exp.f64 a))))
(log1p.f64 (+.f64 (exp.f64 a) b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1)) 2)) (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(+.f64 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 2)))
(fma.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))) (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))) (log.f64 (sqrt.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 b (exp.f64 a)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b (exp.f64 a)) 2) (+.f64 b (exp.f64 a))))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 a) b) 3)) (log1p.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) b) 2) (+.f64 (exp.f64 a) b))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 a) b) 3)) (log1p.f64 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 b (expm1.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1)
(log1p.f64 (+.f64 (exp.f64 a) b))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 b (exp.f64 a)) 2))) (log.f64 (-.f64 1 (+.f64 b (exp.f64 a)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) b) 2))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) b) 2))) (log1p.f64 (neg.f64 (+.f64 (exp.f64 a) b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) b) 2))) (log1p.f64 (-.f64 (neg.f64 b) (exp.f64 a))))
(pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(log1p.f64 (+.f64 (exp.f64 a) b))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 3)
(log1p.f64 (+.f64 (exp.f64 a) b))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1/2)
(log1p.f64 (+.f64 (exp.f64 a) b))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3) 1/3)
(log1p.f64 (+.f64 (exp.f64 a) b))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)
(log1p.f64 (+.f64 (exp.f64 a) b))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 (+.f64 b (exp.f64 a)) 1))
(log1p.f64 (+.f64 (exp.f64 a) b))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))
(log1p.f64 (+.f64 (exp.f64 a) b))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(log1p.f64 (+.f64 (exp.f64 a) b))
(exp.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(log1p.f64 (+.f64 (exp.f64 a) b))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
(log1p.f64 (+.f64 (exp.f64 a) b))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1) 1))
(log1p.f64 (+.f64 (exp.f64 a) b))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 3))
(log1p.f64 (+.f64 (exp.f64 a) b))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1/3))
(log1p.f64 (+.f64 (exp.f64 a) b))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 2))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) b))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (+.f64 2 b))
Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
b
@inf
(log.f64 (+.f64 2 b))
0.0ms
b
@-inf
(log.f64 (+.f64 2 b))
0.0ms
b
@0
(log.f64 (+.f64 2 b))

rewrite51.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1444×pow1
1340×add-exp-log
1338×log1p-expm1-u
1338×expm1-log1p-u
1314×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114511
2177511
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.f64 2 b))
Outputs
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(+.f64 0 (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(*.f64 (log.f64 (+.f64 2 b)) 1)
(*.f64 1 (log.f64 (+.f64 2 b)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))
(pow.f64 (log.f64 (+.f64 2 b)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 b))))
(log1p.f64 (-.f64 (+.f64 2 b) 1))

simplify47.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1278×distribute-lft-in
1118×distribute-rgt-in
694×fma-def
678×associate-+r+
478×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103688
1243598
2701598
33184598
Stop Event
1×node limit
Counts
32 → 61
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 b))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(+.f64 0 (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(*.f64 (log.f64 (+.f64 2 b)) 1)
(*.f64 1 (log.f64 (+.f64 2 b)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))
(pow.f64 (log.f64 (+.f64 2 b)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 b))))
(log1p.f64 (-.f64 (+.f64 2 b) 1))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 -1/8 (*.f64 b b)))
(fma.f64 1/2 b (fma.f64 -1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b -1/8) (log.f64 2)))
(fma.f64 b (*.f64 b -1/8) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 b b)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (fma.f64 -1/8 (*.f64 b b) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b -1/8) (fma.f64 1/24 (pow.f64 b 3) (log.f64 2))))
(fma.f64 1/24 (pow.f64 b 3) (fma.f64 b (*.f64 b -1/8) (fma.f64 1/2 b (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b)))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 -2 (*.f64 b b))))
(+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(-.f64 (/.f64 2 b) (-.f64 (/.f64 2 (*.f64 b b)) (log.f64 b)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (-.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 2 (*.f64 b b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 -2 (*.f64 b b)) (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 -2 (*.f64 b b))))
(+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(-.f64 (/.f64 2 b) (-.f64 (/.f64 2 (*.f64 b b)) (log.f64 b)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (-.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 2 (*.f64 b b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 -2 (*.f64 b b)) (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 b))))
(+.f64 0 (log.f64 (+.f64 2 b)))
(log.f64 (+.f64 2 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 b)))) (log.f64 (cbrt.f64 (+.f64 2 b))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 b))))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (+.f64 4 (*.f64 b (+.f64 b -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (fma.f64 b (+.f64 b -2) 4)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(log.f64 (+.f64 2 b))
(*.f64 (log.f64 (+.f64 2 b)) 1)
(log.f64 (+.f64 2 b))
(*.f64 1 (log.f64 (+.f64 2 b)))
(log.f64 (+.f64 2 b))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))
(log.f64 (+.f64 2 b))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 2 b))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 2 b))
(pow.f64 (log.f64 (+.f64 2 b)) 1)
(log.f64 (+.f64 2 b))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)
(log.f64 (+.f64 2 b))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)
(log.f64 (+.f64 2 b))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)
(log.f64 (+.f64 2 b))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))
(log.f64 (+.f64 2 b))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))
(log.f64 (+.f64 2 b))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 2 b))
(exp.f64 (log.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 2 b))
(log1p.f64 (-.f64 (+.f64 2 b) 1))
(log1p.f64 (+.f64 (+.f64 2 b) -1))
(log1p.f64 (+.f64 b 1))

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓97.7%
(log1p.f64 (exp.f64 b))
Compiler

Compiled 8 to 4 computations (50% saved)

series26.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
13.0ms
b
@-inf
(log1p.f64 (exp.f64 b))
13.0ms
b
@inf
(log1p.f64 (exp.f64 b))
0.0ms
b
@0
(log1p.f64 (exp.f64 b))

rewrite63.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
830×pow1
794×add-sqr-sqrt
784×*-un-lft-identity
756×add-exp-log
756×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1959
210579
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 b))
Outputs
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (cbrt.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b)))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 b)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) 2))

simplify58.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1044×distribute-lft-out
712×log-prod
566×fma-neg
506×associate-*r*
490×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084516
1179494
2502464
32615464
45145464
Stop Event
1×node limit
Counts
36 → 44
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (cbrt.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b)))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 b)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) 2))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (cbrt.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (cbrt.f64 (+.f64 1 (exp.f64 b))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(log1p.f64 (exp.f64 b))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log1p.f64 (neg.f64 (exp.f64 b))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 b b)))) (log.f64 (neg.f64 (expm1.f64 b))))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 1/2)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 b) 1))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 3))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 b)))) 1/3))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) 2))
(log1p.f64 (exp.f64 b))

localize19.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 1/2 (*.f64 b b))
✓100.0%
(+.f64 b (*.f64 1/2 (*.f64 b b)))
✓100.0%
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
✓94.4%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
Compiler

Compiled 58 to 28 computations (51.7% saved)

series36.0ms (0.2%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
17.0ms
a
@-inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
15.0ms
a
@inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
1.0ms
a
@0
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
0.0ms
b
@inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
0.0ms
b
@-inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))

rewrite100.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1534×fma-def
1338×log-prod
658×fma-neg
524×expm1-udef
522×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014100
129988
2414380
Stop Event
1×node limit
Counts
4 → 177
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (*.f64 b b))
Outputs
(+.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 0)
(+.f64 0 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(+.f64 (log1p.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)) (log.f64 (/.f64 1 (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1))))
(+.f64 (*.f64 1/3 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) (*.f64 2 (*.f64 1/3 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))))
(+.f64 (*.f64 1/2 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) (*.f64 1/2 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2))) (log.f64 (/.f64 1 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))) (*.f64 1/3 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1) (+.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) (-.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2)))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)) (log1p.f64 (-.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2) (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)) (log.f64 (+.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2) (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2))) (log1p.f64 (neg.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)))) (log.f64 (neg.f64 (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2)))) (log.f64 (neg.f64 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3))) (log.f64 (fma.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a)) (-.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2) (*.f64 (+.f64 1 (exp.f64 a)) (*.f64 b (fma.f64 b 1/2 1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2) 1)) (log.f64 (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1)))
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2))) (log.f64 (-.f64 (+.f64 1 (exp.f64 a)) (*.f64 b (fma.f64 b 1/2 1)))))
(*.f64 1 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(*.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) (cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) (sqrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(*.f64 3 (*.f64 1/3 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(pow.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1) (+.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) (-.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) 1))
(log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) (/.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2) (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(*.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a))))
(*.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))) (sqrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1)))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2)) (/.f64 1 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1) (+.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) (-.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)) (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)) (+.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2) (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2)) (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3))) (neg.f64 (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2))) (neg.f64 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3)) (fma.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a)) (-.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2) (*.f64 (+.f64 1 (exp.f64 a)) (*.f64 b (fma.f64 b 1/2 1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2) 1) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (-.f64 (+.f64 1 (exp.f64 a)) (*.f64 b (fma.f64 b 1/2 1))))
(pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(pow.f64 (cbrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 2))) (cbrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))) (sqrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(sqrt.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a))) 2))
(log.f64 (exp.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a))))))
(log.f64 (*.f64 (exp.f64 (*.f64 b (fma.f64 b 1/2 1))) (exp.f64 (+.f64 1 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (fma.f64 b 1/2 1)))) (exp.f64 (+.f64 1 (exp.f64 a)))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (expm1.f64 (*.f64 b (fma.f64 b 1/2 1))))))
(cbrt.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))))
(exp.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(log1p.f64 (expm1.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))))
(fma.f64 1 (exp.f64 a) (fma.f64 b (fma.f64 b 1/2 1) 1))
(fma.f64 1 (*.f64 b (fma.f64 b 1/2 1)) (+.f64 1 (exp.f64 a)))
(fma.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1)
(fma.f64 1 (+.f64 1 (exp.f64 a)) (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 1 (+.f64 (exp.f64 a) b) (fma.f64 b (*.f64 b 1/2) 1))
(fma.f64 (exp.f64 a) 1 (fma.f64 b (fma.f64 b 1/2 1) 1))
(fma.f64 b (+.f64 1 (*.f64 b 1/2)) (+.f64 1 (exp.f64 a)))
(fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a)))
(fma.f64 (*.f64 b (fma.f64 b 1/2 1)) 1 (+.f64 1 (exp.f64 a)))
(fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1 1)
(fma.f64 (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (cbrt.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) (pow.f64 (cbrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 2) (cbrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 1)
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (fma.f64 b (fma.f64 b 1/2 1) 1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (fma.f64 b (fma.f64 b 1/2 1) 1))
(fma.f64 (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) (sqrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (fma.f64 b (fma.f64 b 1/2 1) 1))
(fma.f64 (fma.f64 1/8 (pow.f64 (*.f64 b b) 3) (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b (*.f64 1/4 (pow.f64 b 4))) (*.f64 (pow.f64 b 3) 1/2))) (+.f64 1 (exp.f64 a)))
(fma.f64 (+.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (*.f64 b (fma.f64 b 1/2 1)) (-.f64 (*.f64 b (fma.f64 b 1/2 1)) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))) 1)
(fma.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (+.f64 1 (exp.f64 a)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (/.f64 1 (-.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1)))) 1)
(fma.f64 (+.f64 1 (exp.f64 a)) 1 (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 a) b)) (cbrt.f64 (+.f64 (exp.f64 a) b))) (cbrt.f64 (+.f64 (exp.f64 a) b)) (fma.f64 b (*.f64 b 1/2) 1))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) b)) (sqrt.f64 (+.f64 (exp.f64 a) b)) (fma.f64 b (*.f64 b 1/2) 1))
(fma.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 (fma.f64 b 1/2 1) b (+.f64 1 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (fma.f64 b 1/2 1)))) 1)
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(*.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(*.f64 b (+.f64 1 (*.f64 b 1/2)))
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 (*.f64 b (fma.f64 b 1/2 1)) 1)
(*.f64 (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (cbrt.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))))
(*.f64 (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))))
(*.f64 (fma.f64 1/8 (pow.f64 (*.f64 b b) 3) (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b (*.f64 1/4 (pow.f64 b 4))) (*.f64 (pow.f64 b 3) 1/2))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(*.f64 (fma.f64 b 1/2 1) b)
(/.f64 1 (/.f64 (-.f64 (fma.f64 b b (*.f64 1/4 (pow.f64 b 4))) (*.f64 (pow.f64 b 3) 1/2)) (fma.f64 1/8 (pow.f64 (*.f64 b b) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4)))))
(/.f64 (fma.f64 1/8 (pow.f64 (*.f64 b b) 3) (pow.f64 b 3)) (-.f64 (fma.f64 b b (*.f64 1/4 (pow.f64 b 4))) (*.f64 (pow.f64 b 3) 1/2)))
(/.f64 (fma.f64 1/8 (pow.f64 (*.f64 b b) 3) (pow.f64 b 3)) (fma.f64 1/4 (pow.f64 b 4) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 (*.f64 b b) 3) (pow.f64 b 3))) (neg.f64 (-.f64 (fma.f64 b b (*.f64 1/4 (pow.f64 b 4))) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4)))) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (fma.f64 1/4 (pow.f64 b 4) (neg.f64 (*.f64 b b))) (-.f64 (*.f64 b (*.f64 b 1/2)) b))
(pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))) 3)
(pow.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2))
(log.f64 (exp.f64 (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (fma.f64 b 1/2 1)))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (pow.f64 (exp.f64 1/2) (*.f64 b b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))) (+.f64 1 (expm1.f64 b))))
(cbrt.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 b (fma.f64 b 1/2 1))))
(exp.f64 (log.f64 (*.f64 b (fma.f64 b 1/2 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (fma.f64 b 1/2 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 b (fma.f64 b 1/2 1))))
(fma.f64 1 b (*.f64 b (*.f64 b 1/2)))
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) b)
(fma.f64 b 1 (*.f64 b (*.f64 b 1/2)))
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 (*.f64 b (*.f64 b 1/2)) 1 b)
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 (pow.f64 (cbrt.f64 b) 2) 1/2) b)
(fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) b)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) b)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) b)
(fma.f64 (*.f64 (*.f64 b 1/2) 1) b b)
(fma.f64 (*.f64 (*.f64 b 1/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b)
(fma.f64 (*.f64 (*.f64 b 1/2) (sqrt.f64 b)) (sqrt.f64 b) b)
(+.f64 0 (*.f64 b (*.f64 b 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(pow.f64 (*.f64 b (*.f64 b 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)
(pow.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) 1/3)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))

simplify118.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1056×unswap-sqr
692×log-prod
616×times-frac
548×fma-def
462×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04839455
112028781
242638717
Stop Event
1×node limit
Counts
249 → 297
Calls
Call 1
Inputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 16 (*.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b)))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (*.f64 -1/6 (/.f64 (-.f64 (*.f64 24 (+.f64 1 (exp.f64 a))) 16) (pow.f64 b 3)))))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 0)
(+.f64 0 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(+.f64 (log1p.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)) (log.f64 (/.f64 1 (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1))))
(+.f64 (*.f64 1/3 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) (*.f64 2 (*.f64 1/3 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))))
(+.f64 (*.f64 1/2 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) (*.f64 1/2 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2))) (log.f64 (/.f64 1 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))) (*.f64 1/3 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1) (+.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) (-.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2)))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)) (log1p.f64 (-.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2) (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)) (log.f64 (+.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2) (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2))) (log1p.f64 (neg.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3)))) (log.f64 (neg.f64 (fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2)))) (log.f64 (neg.f64 (-.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3))) (log.f64 (fma.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a)) (-.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2) (*.f64 (+.f64 1 (exp.f64 a)) (*.f64 b (fma.f64 b 1/2 1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2) 1)) (log.f64 (-.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1)))
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2))) (log.f64 (-.f64 (+.f64 1 (exp.f64 a)) (*.f64 b (fma.f64 b 1/2 1)))))
(*.f64 1 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(*.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))) (cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(pow.f64 (*.f64 b (*.f64 b 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)
(pow.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) 1/3)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))
Outputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(log.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b))) (/.f64 a (+.f64 2 (fma.f64 b (*.f64 b 1/2) b))))
(+.f64 (log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (/.f64 a (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 b (*.f64 b 1/2) b))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 2)))) (log.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b)))))
(+.f64 (/.f64 a (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (/.f64 1 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 2)))) (log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))))))
(+.f64 (/.f64 a (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (/.f64 -1 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 2))))) (log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 b (*.f64 b 1/2) b))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 3)) (/.f64 3 (pow.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 2))))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b)) 2)))) (log.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b))))))
(+.f64 (/.f64 a (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 3)) (/.f64 -3 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 2))))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (/.f64 1 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 2)))) (log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))))))
(+.f64 (/.f64 a (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 3)) (/.f64 -3 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 2))))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (/.f64 -1 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 2))))) (log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (*.f64 (log.f64 b) -2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 2 b) (*.f64 (log.f64 b) -2)))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))))
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 4 (fma.f64 (exp.f64 a) 4 -4)) (*.f64 b b)) (log.f64 1/2)) (*.f64 (log.f64 b) -2)))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 16 (*.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b)))))))
(fma.f64 1/6 (/.f64 (+.f64 16 (+.f64 -24 (*.f64 -24 (exp.f64 a)))) (pow.f64 b 3)) (+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2)))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))) (fma.f64 1/6 (/.f64 (+.f64 -8 (*.f64 (exp.f64 a) -24)) (pow.f64 b 3)) (/.f64 2 b)))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 (+.f64 4 (fma.f64 (exp.f64 a) 4 -4)) (*.f64 b b)) (log.f64 1/2)) (*.f64 (log.f64 b) -2)) (fma.f64 1/6 (/.f64 (+.f64 -8 (*.f64 (exp.f64 a) -24)) (pow.f64 b 3)) (/.f64 2 b)))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 b) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b)))
(+.f64 (/.f64 2 b) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (*.f64 b b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (+.f64 4 (fma.f64 (exp.f64 a) 4 -4)) (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (*.f64 -1/6 (/.f64 (-.f64 (*.f64 24 (+.f64 1 (exp.f64 a))) 16) (pow.f64 b 3)))))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (*.f64 b b)) (+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 (*.f64 -1/6 (fma.f64 24 (+.f64 1 (exp.f64 a)) -16)) (pow.f64 b 3))))))
(+.f64 (/.f64 2 b) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))) (*.f64 -1/6 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 24 -16) (pow.f64 b 3)))))
(+.f64 (/.f64 2 b) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 4 (fma.f64 (exp.f64 a) 4 -4)) (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))) (/.f64 (*.f64 -1/6 (+.f64 24 (fma.f64 (exp.f64 a) 24 -16))) (pow.f64 b 3))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (fma.f64 b (*.f64 b 1/2) b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 2 (+.f64 (fma.f64 b (*.f64 b 1/2) b) a))
(+.f64 (*.f64 b (fma.f64 b 1/2 1)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 (fma.f64 b (*.f64 b 1/2) b) a)))
(fma.f64 1/2 (*.f64 a a) (+.f64 (*.f64 b (fma.f64 b 1/2 1)) (+.f64 2 a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) (fma.f64 1/6 (pow.f64 a 3) (fma.f64 b (*.f64 b 1/2) b))))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (*.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(+.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(+.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(+.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(+.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(+.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(+.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(+.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
(+.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (fma.f64 b (*.f64 b 1/2) b) (exp.f64 a)))
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(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4)))) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (+.f64 (*.f64 b b) (*.f64 -1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(/.f64 (fma.f64 1/4 (pow.f64 b 4) (neg.f64 (*.f64 b b))) (-.f64 (*.f64 b (*.f64 b 1/2)) b))
(/.f64 (+.f64 (*.f64 b b) (*.f64 -1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 1)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(pow.f64 (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))) 3)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(pow.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3) 1/3)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(pow.f64 (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))) 2)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(sqrt.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(log.f64 (exp.f64 (*.f64 b (fma.f64 b 1/2 1))))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (fma.f64 b 1/2 1)))))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (pow.f64 (exp.f64 1/2) (*.f64 b b))))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)) (+.f64 1 (expm1.f64 b))))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))) (exp.f64 b)))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))) (+.f64 1 (expm1.f64 b))))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(cbrt.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(expm1.f64 (log1p.f64 (*.f64 b (fma.f64 b 1/2 1))))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(exp.f64 (log.f64 (*.f64 b (fma.f64 b 1/2 1))))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(exp.f64 (*.f64 (log.f64 (*.f64 b (fma.f64 b 1/2 1))) 1))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(log1p.f64 (expm1.f64 (*.f64 b (fma.f64 b 1/2 1))))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 1 b (*.f64 b (*.f64 b 1/2)))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 b 1 (*.f64 b (*.f64 b 1/2)))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (*.f64 b (*.f64 b 1/2)) 1 b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 (pow.f64 (cbrt.f64 b) 2) 1/2) b)
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) b)
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) b)
(fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) b)
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 b b))) (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) b)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) b)
(fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) b)
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 b b))) (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) b)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (*.f64 b (*.f64 b 1/2)))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 b (*.f64 b 1/2)))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 b (*.f64 b 1/2)))
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (fabs.f64 (cbrt.f64 b)) (*.f64 1/2 (*.f64 b b)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (cbrt.f64 b) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) b)
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) b)
(fma.f64 (*.f64 (*.f64 b 1/2) 1) b b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (*.f64 (*.f64 b 1/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (*.f64 (*.f64 b 1/2) (sqrt.f64 b)) (sqrt.f64 b) b)
(fma.f64 b (*.f64 b 1/2) b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 0 (*.f64 b (*.f64 b 1/2)))
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 b 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 b 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))))
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(pow.f64 (*.f64 b (*.f64 b 1/2)) 1)
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(pow.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) 1/3)
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))
(cbrt.f64 (*.f64 1/8 (pow.f64 b 6)))
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))
(cbrt.f64 (*.f64 1/8 (pow.f64 b 6)))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1))
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))

eval202.0ms (1.3%)

Compiler

Compiled 11171 to 7584 computations (32.1% saved)

prune94.0ms (0.6%)

Pruning

21 alts after pruning (9 fresh and 12 done)

PrunedKeptTotal
New5626568
Fresh134
Picked011
Done11112
Total56421585
Accurracy
98.4%
Counts
585 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(+.f64 (*.f64 1/2 b) (log.f64 2))
✓45.1%
(+.f64 (*.f64 1/2 a) (log.f64 2))
✓98.4%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
55.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
98.2%
(*.f64 3 (+.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a))))))
45.3%
(*.f64 3 (*.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
✓95.6%
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
48.6%
(*.f64 3 (*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))))
✓2.6%
(*.f64 1/2 a)
✓97.7%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
✓95.9%
(log1p.f64 (+.f64 b (exp.f64 a)))
45.6%
(log1p.f64 (+.f64 b 1))
43.7%
(log1p.f64 (+.f64 a 1))
✓45.6%
(log1p.f64 (exp.f64 b))
✓47.4%
(log1p.f64 (exp.f64 a))
✓48.6%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓43.7%
(log.f64 (+.f64 2 a))
✓49.0%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
2.0%
(log.f64 (*.f64 b (*.f64 b 1/2)))
1.5%
(log.f64 b)
✓45.4%
(log.f64 2)
Compiler

Compiled 187 to 149 computations (20.3% saved)

regimes44.0ms (0.3%)

Counts
27 → 1
Calls
Call 1
Inputs
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 a 1))
(log1p.f64 (+.f64 b 1))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 3 (*.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 3 (*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 3 (+.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
Calls

6 calls:

13.0ms
a
12.0ms
b
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.4%1a
98.4%1b
98.4%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%1(+.f64 (exp.f64 a) (exp.f64 b))
98.4%1(exp.f64 a)
98.4%1(exp.f64 b)
Compiler

Compiled 215 to 137 computations (36.3% saved)

regimes44.0ms (0.3%)

Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 a 1))
(log1p.f64 (+.f64 b 1))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 3 (*.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 3 (*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 3 (+.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (log.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Calls

6 calls:

13.0ms
a
12.0ms
b
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.4%1a
98.4%1b
98.4%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%1(+.f64 (exp.f64 a) (exp.f64 b))
98.4%1(exp.f64 a)
98.4%1(exp.f64 b)
Compiler

Compiled 203 to 131 computations (35.5% saved)

regimes41.0ms (0.3%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 a 1))
(log1p.f64 (+.f64 b 1))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 3 (*.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 3 (*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Calls

6 calls:

12.0ms
a
11.0ms
b
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
97.7%1a
97.7%1b
97.7%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.7%1(+.f64 (exp.f64 a) (exp.f64 b))
97.7%1(exp.f64 a)
97.7%1(exp.f64 b)
Compiler

Compiled 166 to 109 computations (34.3% saved)

regimes39.0ms (0.2%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 a 1))
(log1p.f64 (+.f64 b 1))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 3 (*.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 3 (*.f64 1/3 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(log1p.f64 (+.f64 b (exp.f64 a)))
Calls

6 calls:

11.0ms
b
11.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
95.9%1a
95.9%1b
95.9%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
95.9%1(+.f64 (exp.f64 a) (exp.f64 b))
95.9%1(exp.f64 a)
95.9%1(exp.f64 b)
Compiler

Compiled 160 to 106 computations (33.8% saved)

regimes24.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 a 1))
(log1p.f64 (+.f64 b 1))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 3 (*.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 b)))
Outputs
(log1p.f64 (exp.f64 a))
Calls

4 calls:

9.0ms
a
8.0ms
b
3.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
47.4%1a
47.4%1b
47.4%1(exp.f64 a)
47.4%1(exp.f64 b)
Compiler

Compiled 87 to 64 computations (26.4% saved)

regimes16.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 a 1))
(log1p.f64 (+.f64 b 1))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 3 (*.f64 1/3 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
Calls

2 calls:

7.0ms
a
6.0ms
b
Results
AccuracySegmentsBranch
45.8%1a
45.8%1b
Compiler

Compiled 63 to 48 computations (23.8% saved)

regimes13.0ms (0.1%)

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

2 calls:

6.0ms
a
6.0ms
b
Results
AccuracySegmentsBranch
45.6%1a
45.6%1b
Compiler

Compiled 43 to 32 computations (25.6% saved)

regimes11.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 a 1))
Outputs
(log.f64 (+.f64 2 b))
Calls

2 calls:

5.0ms
b
5.0ms
a
Results
AccuracySegmentsBranch
45.6%1a
45.6%1b
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes8.0ms (0.1%)

Accuracy

Total -28.7b remaining (-82.1%)

Threshold costs -28.7b (-82.1%)

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

2 calls:

4.0ms
b
4.0ms
a
Results
AccuracySegmentsBranch
45.4%1a
45.4%1b
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify7.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030164
142164
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 2 b))
(log.f64 2)
(*.f64 1/2 a)
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log1p.f64 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b 2))
(log.f64 2)
(*.f64 1/2 a)
(*.f64 a 1/2)
Compiler

Compiled 75 to 58 computations (22.7% saved)

soundness803.0ms (5.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01972874
14872502
216162316
371442316
0711
113711
2164911
01972874
14872502
216162316
371442316
0711
114511
2177511
0103688
1243598
2701598
33184598
01972874
14872502
216162316
371442316
03985998
110005898
232105866
0934
117734
2226234
01972874
14872502
216162316
371442316
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 271 to 145 computations (46.5% saved)

end68.0ms (0.4%)

Compiler

Compiled 85 to 54 computations (36.5% saved)

Profiling

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