symmetry log of sum of exp

Details

Time bar (total: 15.5s)

analyze1.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample9.7s (63%)

Results
7.6s7755×body8192exit
1.0s1968×body1024valid
728.0ms5075×body256valid
273.0ms1019×body512valid
131.0ms194×body2048valid
Bogosity

preprocess13.0ms (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)

simplify31.0ms (0.2%)

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)))

eval1.0ms (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
56.9%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.9%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

localize63.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓56.9%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 20 to 7 computations (65% saved)

series77.0ms (0.5%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
26.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
17.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
a
@-inf
(+.f64 (exp.f64 a) (exp.f64 b))

rewrite75.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify81.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

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

eval31.0ms (0.2%)

Compiler

Compiled 2074 to 1062 computations (48.8% saved)

prune62.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1118119
Fresh000
Picked011
Done000
Total1119120
Accurracy
99.0%
Counts
120 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶98.5%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
54.0%
(log1p.f64 (exp.f64 b))
▶53.9%
(log1p.f64 (exp.f64 a))
55.1%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓56.9%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶55.5%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
▶54.0%
(log.f64 (+.f64 1 (exp.f64 b)))
▶55.7%
(log.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Compiler

Compiled 150 to 114 computations (24% saved)

localize81.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Compiler

Compiled 20 to 7 computations (65% saved)

series28.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
8.0ms
b
@inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
7.0ms
a
@inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms
b
@-inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms
a
@-inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
0.0ms
a
@0
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

rewrite59.0ms (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)))))

simplify54.0ms (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)))

localize21.0ms (0.1%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize27.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 1 (exp.f64 b))
✓98.5%
(log.f64 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

series41.0ms (0.3%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
29.0ms
b
@inf
(log.f64 (+.f64 1 (exp.f64 b)))
12.0ms
b
@-inf
(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms
b
@0
(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms
b
@0
(+.f64 1 (exp.f64 b))
0.0ms
b
@inf
(+.f64 1 (exp.f64 b))

rewrite66.0ms (0.4%)

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
0820
115320
2178620
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
Outputs
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)

simplify61.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
906×fma-def
896×times-frac
730×associate-+r+
704×associate-/l*
684×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01391291
13091185
29911011
33699987
Stop Event
1×node limit
Counts
61 → 88
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)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 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 (*.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)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (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))))
(fma.f64 b (*.f64 b 1/8) (fma.f64 1/2 b (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (expm1.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 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log.f64 (neg.f64 (expm1.f64 b))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.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 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(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)) 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))
(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))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(*.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(fma.f64 1 (exp.f64 b) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))

localize106.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 b (*.f64 1/2 (*.f64 b b)))
✓100.0%
(+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))
✓100.0%
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
✓58.1%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
Compiler

Compiled 59 to 29 computations (50.8% saved)

series54.0ms (0.3%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
35.0ms
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))))))
1.0ms
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))))))

rewrite105.0ms (0.7%)

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
014116
1299100
2414388
Stop Event
1×node limit
Counts
4 → 251
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 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 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))))))
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(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (-.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3) (pow.f64 (exp.f64 a) 3))) (neg.f64 (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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2))) (neg.f64 (-.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) b) 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))) (fma.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b) (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (+.f64 (exp.f64 a) b) (*.f64 b (*.f64 b 1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (*.f64 b (fma.f64 b 1/2 1)) (exp.f64 a)))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b)) (*.f64 1/4 (pow.f64 b 4))) (-.f64 (+.f64 (exp.f64 a) b) (*.f64 b (*.f64 b 1/2))))
(pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 1)
(pow.f64 (cbrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 3)
(pow.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 2))
(log.f64 (exp.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (*.f64 b (fma.f64 b 1/2 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (*.f64 b (fma.f64 b 1/2 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (*.f64 b (fma.f64 b 1/2 1))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)) (exp.f64 (+.f64 (exp.f64 a) b))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)) (*.f64 (exp.f64 (exp.f64 a)) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))) (exp.f64 (+.f64 (exp.f64 a) b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))) (*.f64 (exp.f64 (exp.f64 a)) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (*.f64 b (fma.f64 b 1/2 1))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (fma.f64 b 1/2 1)))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (fma.f64 b 1/2 1)))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (exp.f64 (+.f64 (exp.f64 a) b)) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))
(log.f64 (*.f64 (*.f64 (exp.f64 (exp.f64 a)) (exp.f64 b)) (pow.f64 (exp.f64 1/2) (*.f64 b b))))
(log.f64 (*.f64 (*.f64 (exp.f64 (exp.f64 a)) (exp.f64 b)) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(exp.f64 (log.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))))
(fma.f64 1 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 1 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 (exp.f64 a) b))
(fma.f64 1 (*.f64 b (fma.f64 b 1/2 1)) (exp.f64 a))
(fma.f64 1 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 1 (exp.f64 a))) -1)
(fma.f64 1 (+.f64 (exp.f64 a) b) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (exp.f64 a) 1 (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 b 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))
(fma.f64 b (*.f64 b 1/2) (+.f64 (exp.f64 a) b))
(fma.f64 b (+.f64 1 (*.f64 b 1/2)) (exp.f64 a))
(fma.f64 b (fma.f64 b 1/2 1) (exp.f64 a))
(fma.f64 1/2 (*.f64 b b) (+.f64 (exp.f64 a) b))
(fma.f64 (*.f64 b b) 1/2 (+.f64 (exp.f64 a) b))
(fma.f64 (*.f64 b (*.f64 b 1/2)) 1 (+.f64 (exp.f64 a) b))
(fma.f64 (*.f64 b (fma.f64 b 1/2 1)) 1 (exp.f64 a))
(fma.f64 (fma.f64 b (fma.f64 b 1/2 1) (+.f64 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)) (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))) (exp.f64 a))
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 (pow.f64 (cbrt.f64 b) 2) 1/2) (+.f64 (exp.f64 a) b))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (*.f64 b (fma.f64 b 1/2 1)))
(fma.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) -1)
(fma.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)))) -1)
(fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (+.f64 (exp.f64 a) b))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 (exp.f64 a) b))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))
(fma.f64 (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (*.f64 b (fma.f64 b 1/2 1)))
(fma.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)))) -1)
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 (exp.f64 a) b))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))
(fma.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)) -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))) (exp.f64 a))
(fma.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)))) -1)
(fma.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (exp.f64 a))
(fma.f64 (+.f64 (exp.f64 a) b) 1 (*.f64 b (*.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b (+.f64 (exp.f64 a) b))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 a) b)) (cbrt.f64 (+.f64 (exp.f64 a) b))) (cbrt.f64 (+.f64 (exp.f64 a) b)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) b)) (sqrt.f64 (+.f64 (exp.f64 a) b)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))
(fma.f64 (fma.f64 b 1/2 1) b (exp.f64 a))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) b))
(fma.f64 (*.f64 (*.f64 b 1/2) 1) b (+.f64 (exp.f64 a) b))
(fma.f64 (*.f64 (*.f64 b 1/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (+.f64 (exp.f64 a) b))
(fma.f64 (*.f64 (*.f64 b 1/2) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 (exp.f64 a) b))
(-.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)

simplify239.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1684×times-frac
934×fma-neg
800×log-prod
628×fma-def
524×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059513123
1148912059
2531612009
Stop Event
1×node limit
Counts
335 → 409
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)))))
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(exp.f64 a)
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b
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(/.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)
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 (*.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)))))))
(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 (*.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 (*.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 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (log.f64 1/2)) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.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)) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 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)))))))
(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)))
(fma.f64 1/6 (/.f64 (+.f64 -8 (*.f64 (exp.f64 a) -24)) (pow.f64 b 3)) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 4 (fma.f64 (exp.f64 a) 4 -4)) (*.f64 b b)) (log.f64 1/2)) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.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 (/.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 -1/6 (/.f64 (fma.f64 24 (+.f64 1 (exp.f64 a)) -16) (pow.f64 b 3)))))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (log.f64 1/2)) (+.f64 (fma.f64 -1/6 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 24 -16) (pow.f64 b 3)) (*.f64 -2 (log.f64 (/.f64 -1 b)))) (/.f64 2 b)))
(+.f64 (/.f64 2 b) (+.f64 (fma.f64 -1/6 (/.f64 (+.f64 24 (fma.f64 (exp.f64 a) 24 -16)) (pow.f64 b 3)) (*.f64 -2 (log.f64 (/.f64 -1 b)))) (fma.f64 1/2 (/.f64 (+.f64 4 (fma.f64 (exp.f64 a) 4 -4)) (*.f64 b b)) (log.f64 1/2))))
(+.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 2 (+.f64 a (*.f64 b (fma.f64 b 1/2 1))))
(+.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)))
(+.f64 (+.f64 a (*.f64 b (fma.f64 b 1/2 1))) (fma.f64 1/2 (*.f64 a a) 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)))))))
(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)))))
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(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 (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 (*.f64 b (*.f64 b 1/2))) (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 b (*.f64 b 1/2)))
(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))

localize82.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓99.9%
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓98.1%
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓56.9%
(log.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Compiler

Compiled 35 to 9 computations (74.3% saved)

series94.0ms (0.6%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
48.0ms
a
@inf
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
17.0ms
a
@-inf
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
b
@inf
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
b
@-inf
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite81.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1954×pow1
1796×log1p-expm1-u
1794×add-exp-log
1794×expm1-log1p-u
202×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01153
119953
2247053
Stop Event
1×node limit
Counts
3 → 78
Calls
Call 1
Inputs
(log.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(expm1.f64 (log1p.f64 (+.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) (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) (exp.f64 (*.f64 b 3)))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.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)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(-.f64 (+.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(log.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 1 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(+.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) -1)
(-.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.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) (exp.f64 (*.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) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3)))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.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) (exp.f64 (*.f64 b 3))) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a 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) (exp.f64 (*.f64 b 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)) (+.f64 1 (*.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)) 1) (+.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 1))
(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 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(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)))))
(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))
(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))

simplify85.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1278×associate-+r+
1238×associate-+l+
1212×unswap-sqr
376×associate-/r*
342×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02844428
17144358
225594306
Stop Event
1×node limit
Counts
150 → 158
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)))
(log.f64 (+.f64 2 (exp.f64 b)))
(+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (/.f64 a (+.f64 2 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 2))) (pow.f64 a 2))) (+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (/.f64 a (+.f64 2 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 2))) (pow.f64 a 2))) (+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 2)))))) (/.f64 a (+.f64 2 (exp.f64 b))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 2 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (exp.f64 a))) (log.f64 (+.f64 2 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 2 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2))) (pow.f64 b 2))) (log.f64 (+.f64 2 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 2 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (*.f64 1/6 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2)))) (pow.f64 b 3))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.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 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (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 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.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) (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) (exp.f64 (*.f64 b 3)))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.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)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(-.f64 (+.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(log.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 1 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(+.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) -1)
(-.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.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) (exp.f64 (*.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) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3)))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.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) (exp.f64 (*.f64 b 3))) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a 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) (exp.f64 (*.f64 b 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)) (+.f64 1 (*.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)) 1) (+.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 1))
(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 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(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)))))
(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))
(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)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (*.f64 1/2 (*.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 (log1p.f64 (exp.f64 b)) (fma.f64 (*.f64 1/2 (*.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 (*.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 (*.f64 1/2 (*.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 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 (*.f64 1/2 (*.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)))))
(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)))))
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(-.f64 (+.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 1 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) -1)
(+.f64 (exp.f64 b) (exp.f64 a))
(-.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.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 (exp.f64 b) (exp.f64 a))
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.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 (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 (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 (exp.f64 b) (exp.f64 a))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.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 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)) (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) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.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 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.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)) (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) (pow.f64 (exp.f64 b) 2))))
(/.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) (exp.f64 (*.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)) (/.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)) (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) (exp.f64 (*.f64 b 3))) (+.f64 (pow.f64 (exp.f64 b) 2) (-.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)) (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) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3)))) (neg.f64 (+.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 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)) (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) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.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 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)) (+.f64 1 (*.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) 3) -1) (fma.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) 3)) (fma.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (exp.f64 b) (+.f64 2 (exp.f64 a)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (+.f64 2 (exp.f64 a)) (expm1.f64 b)) 3)) (+.f64 1 (*.f64 (+.f64 (+.f64 2 (exp.f64 a)) (expm1.f64 b)) (+.f64 (exp.f64 b) (+.f64 2 (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)) 1) (+.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1) 1))
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.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 (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 (exp.f64 b) (exp.f64 a))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.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 (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 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))

eval410.0ms (2.7%)

Compiler

Compiled 15205 to 9539 computations (37.3% saved)

prune121.0ms (0.8%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New7578765
Fresh213
Picked101
Done145
Total76113774
Accurracy
99.0%
Counts
774 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(+.f64 (*.f64 1/2 b) (log.f64 2))
1.3%
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
✓98.5%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
54.0%
(log1p.f64 (exp.f64 b))
✓53.9%
(log1p.f64 (exp.f64 a))
▶53.3%
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
▶55.1%
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
✓56.9%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶54.0%
(log.f64 (+.f64 2 (expm1.f64 b)))
53.1%
(log.f64 (+.f64 2 b))
✓55.5%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
▶2.1%
(log.f64 (*.f64 b (*.f64 b 1/2)))
▶52.4%
(log.f64 2)
Compiler

Compiled 176 to 143 computations (18.8% saved)

localize64.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (exp.f64 a) (+.f64 b 1))
✓58.1%
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
Compiler

Compiled 24 to 14 computations (41.7% saved)

series33.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
17.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
13.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
0.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
0.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))

rewrite75.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1318×prod-diff
900×log-prod
690×fma-def
624×pow-prod-down
482×pow-prod-up
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01038
120538
2272932
Stop Event
1×node limit
Counts
2 → 130
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
(+.f64 (exp.f64 a) (+.f64 b 1))
Outputs
(+.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 0)
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 a) b)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))) (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b))) (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (/.f64 1 (-.f64 (expm1.f64 a) b))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (/.f64 1 (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 (exp.f64 a) b))) (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a (log1p.f64 b)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))))) (log.f64 (neg.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)))) (log.f64 (neg.f64 (-.f64 (expm1.f64 a) b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) b) 3) 1)) (log.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) b) 2) (-.f64 1 (*.f64 (+.f64 (exp.f64 a) b) 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 b 1) 2) (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 (+.f64 b 1) (exp.f64 a))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) b) 2) 1)) (log.f64 (-.f64 (+.f64 (exp.f64 a) b) 1)))
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 2))
(log1p.f64 (+.f64 (exp.f64 a) b))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (expm1.f64 a) b)) (/.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (expm1.f64 a) b)))
(*.f64 1 (+.f64 (exp.f64 a) (+.f64 b 1)))
(*.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))) (/.f64 1 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (/.f64 1 (-.f64 (expm1.f64 a) b)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))) (pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b)))) (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))))
(/.f64 1 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))) (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))) (+.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a (log1p.f64 b))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (-.f64 (expm1.f64 a) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))) (neg.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (neg.f64 (-.f64 (expm1.f64 a) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) b) 3) 1) (+.f64 (pow.f64 (+.f64 (exp.f64 a) b) 2) (-.f64 1 (*.f64 (+.f64 (exp.f64 a) b) 1))))
(/.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) b) 2) 1) (-.f64 (+.f64 (exp.f64 a) b) 1))
(/.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 b 1) 3) (exp.f64 (*.f64 3 a))))) (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 (exp.f64 a) b))))) (E.f64))
(pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 1)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) b)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1))
(pow.f64 (/.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))) -1)
(pow.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 1) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) 1) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (+.f64 b 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 b 1)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (+.f64 (exp.f64 a) b))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(fma.f64 (exp.f64 a) 1 (+.f64 b 1))
(fma.f64 b 1 (+.f64 1 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) (+.f64 b 1))
(fma.f64 1 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (+.f64 b 1) (exp.f64 a))
(fma.f64 1 (+.f64 (exp.f64 a) b) 1)
(fma.f64 (+.f64 b 1) 1 (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 b 1) 2)) (cbrt.f64 (+.f64 b 1)) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 b 1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (+.f64 b 1))
(fma.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 b b)) (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 b) (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) 1) (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 b 1)) (sqrt.f64 (+.f64 b 1)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 b 1))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) 1) (+.f64 1 (exp.f64 a)))
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b 1) b)) (exp.f64 a))
(fma.f64 (fma.f64 b b -1) (/.f64 1 (+.f64 b -1)) (exp.f64 a))
(fma.f64 (+.f64 (exp.f64 a) b) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) b)) 2) (cbrt.f64 (+.f64 (exp.f64 a) b)) 1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) b)) (sqrt.f64 (+.f64 (exp.f64 a) b)) 1)

simplify88.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
996×unswap-sqr
566×log-prod
536×distribute-lft-out
520×sqr-pow
454×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03875930
19675834
231695704
Stop Event
1×node limit
Counts
178 → 242
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))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 0)
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 a) b)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))) (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b))) (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (/.f64 1 (-.f64 (expm1.f64 a) b))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (/.f64 1 (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 (exp.f64 a) b))) (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))) (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a (log1p.f64 b)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))))) (log.f64 (neg.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)))) (log.f64 (neg.f64 (-.f64 (expm1.f64 a) b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) b) 3) 1)) (log.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) b) 2) (-.f64 1 (*.f64 (+.f64 (exp.f64 a) b) 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 b 1) 2) (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 (+.f64 b 1) (exp.f64 a))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) b) 2) 1)) (log.f64 (-.f64 (+.f64 (exp.f64 a) b) 1)))
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 2))
(log1p.f64 (+.f64 (exp.f64 a) b))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (expm1.f64 a) b)) (/.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (expm1.f64 a) b)))
(*.f64 1 (+.f64 (exp.f64 a) (+.f64 b 1)))
(*.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))) (/.f64 1 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (/.f64 1 (-.f64 (expm1.f64 a) b)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))) (pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b)))) (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))))
(/.f64 1 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))) (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a))) (+.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a (log1p.f64 b))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (-.f64 (expm1.f64 a) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))) (neg.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (neg.f64 (-.f64 (expm1.f64 a) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) b) 3) 1) (+.f64 (pow.f64 (+.f64 (exp.f64 a) b) 2) (-.f64 1 (*.f64 (+.f64 (exp.f64 a) b) 1))))
(/.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) b) 2) 1) (-.f64 (+.f64 (exp.f64 a) b) 1))
(/.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 b 1) 3) (exp.f64 (*.f64 3 a))))) (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 (exp.f64 a) b))))) (E.f64))
(pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 1)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) b)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1))
(pow.f64 (/.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (+.f64 b 1) 3) (exp.f64 (*.f64 3 a)))) -1)
(pow.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 1) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) 1) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (+.f64 b 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 b 1)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (+.f64 (exp.f64 a) b))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(fma.f64 (exp.f64 a) 1 (+.f64 b 1))
(fma.f64 b 1 (+.f64 1 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) (+.f64 b 1))
(fma.f64 1 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (+.f64 b 1) (exp.f64 a))
(fma.f64 1 (+.f64 (exp.f64 a) b) 1)
(fma.f64 (+.f64 b 1) 1 (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 b 1) 2)) (cbrt.f64 (+.f64 b 1)) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 b 1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (+.f64 b 1))
(fma.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 b b)) (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 b) (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) 1) (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 b 1)) (sqrt.f64 (+.f64 b 1)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 b 1))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) 1) (+.f64 1 (exp.f64 a)))
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b 1) b)) (exp.f64 a))
(fma.f64 (fma.f64 b b -1) (/.f64 1 (+.f64 b -1)) (exp.f64 a))
(fma.f64 (+.f64 (exp.f64 a) b) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) b)) 2) (cbrt.f64 (+.f64 (exp.f64 a) b)) 1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) b)) (sqrt.f64 (+.f64 (exp.f64 a) b)) 1)
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 (*.f64 a 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 (log.f64 (+.f64 2 b)) (+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 1/2 (*.f64 (*.f64 a 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 (log.f64 (+.f64 2 b)) (+.f64 (/.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 a (*.f64 a 1/2))))))
(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)))
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(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 1) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(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 (exp.f64 a) b)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(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 (exp.f64 a) b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(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 (exp.f64 a) b))) 2)) 1) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(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 (exp.f64 a) b))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(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 (exp.f64 a) b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(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 (exp.f64 a) b))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))))
(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 b 1)) 2))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (+.f64 b 1))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (+.f64 b 1)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (exp.f64 (exp.f64 a))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 3))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))) 3))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (+.f64 (exp.f64 a) b))) 1/3))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (exp.f64 a) 1 (+.f64 b 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 b 1 (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) (+.f64 b 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (+.f64 b 1) (exp.f64 a))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (+.f64 (exp.f64 a) b) 1)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (+.f64 b 1) 1 (exp.f64 a))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (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 b 1) 2)) (cbrt.f64 (+.f64 b 1)) (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)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 b 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (+.f64 b 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 b b)) (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 b) (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 b b)) (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) 1) (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 b b)) (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 b 1)) (sqrt.f64 (+.f64 b 1)) (exp.f64 a))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 b 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) 1) (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b 1) b)) (exp.f64 a))
(+.f64 (exp.f64 a) (/.f64 (+.f64 1 (pow.f64 b 3)) (-.f64 (fma.f64 b b 1) b)))
(fma.f64 (fma.f64 b b -1) (/.f64 1 (+.f64 b -1)) (exp.f64 a))
(+.f64 (exp.f64 a) (/.f64 (fma.f64 b b -1) (+.f64 b -1)))
(fma.f64 (+.f64 (exp.f64 a) b) 1 1)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) b)) 2) (cbrt.f64 (+.f64 (exp.f64 a) b)) 1)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) b)) (sqrt.f64 (+.f64 (exp.f64 a) b)) 1)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))

localize23.0ms (0.2%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize30.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓54.7%
(log.f64 (*.f64 b (*.f64 b 1/2)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series17.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
11.0ms
b
@0
(log.f64 (*.f64 b (*.f64 b 1/2)))
5.0ms
b
@inf
(log.f64 (*.f64 b (*.f64 b 1/2)))
0.0ms
b
@-inf
(log.f64 (*.f64 b (*.f64 b 1/2)))

rewrite98.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1412×pow1
1294×add-exp-log
1294×log1p-expm1-u
1294×expm1-log1p-u
1262×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
115617
2177917
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(log.f64 (*.f64 b (*.f64 b 1/2)))
Outputs
(+.f64 (log.f64 (*.f64 b 1/2)) (log.f64 b))
(+.f64 (log.f64 b) (log.f64 (*.f64 b 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 2)) (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))))
(+.f64 (log.f64 (*.f64 b (sqrt.f64 1/2))) (log.f64 (*.f64 b (sqrt.f64 1/2))))
(+.f64 0 (log.f64 (*.f64 b (*.f64 b 1/2))))
(+.f64 (log.f64 (*.f64 b b)) (log.f64 1/2))
(-.f64 (+.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(*.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2) (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (log.f64 (*.f64 b 1/2)) 3)) (+.f64 (*.f64 (log.f64 b) (log.f64 b)) (-.f64 (*.f64 (log.f64 (*.f64 b 1/2)) (log.f64 (*.f64 b 1/2))) (*.f64 (log.f64 b) (log.f64 (*.f64 b 1/2))))))
(/.f64 (-.f64 (*.f64 (log.f64 b) (log.f64 b)) (*.f64 (log.f64 (*.f64 b 1/2)) (log.f64 (*.f64 b 1/2)))) (-.f64 (log.f64 b) (log.f64 (*.f64 b 1/2))))
(pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(exp.f64 (log.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))

simplify64.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1856×fma-neg
792×log-prod
686×times-frac
602×associate-*r*
568×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079751
1172709
2563699
33677693
47022693
Stop Event
1×node limit
Counts
35 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.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 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 (*.f64 b 1/2)) (log.f64 b))
(+.f64 (log.f64 b) (log.f64 (*.f64 b 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 2)) (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))))
(+.f64 (log.f64 (*.f64 b (sqrt.f64 1/2))) (log.f64 (*.f64 b (sqrt.f64 1/2))))
(+.f64 0 (log.f64 (*.f64 b (*.f64 b 1/2))))
(+.f64 (log.f64 (*.f64 b b)) (log.f64 1/2))
(-.f64 (+.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(*.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2) (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (log.f64 (*.f64 b 1/2)) 3)) (+.f64 (*.f64 (log.f64 b) (log.f64 b)) (-.f64 (*.f64 (log.f64 (*.f64 b 1/2)) (log.f64 (*.f64 b 1/2))) (*.f64 (log.f64 b) (log.f64 (*.f64 b 1/2))))))
(/.f64 (-.f64 (*.f64 (log.f64 b) (log.f64 b)) (*.f64 (log.f64 (*.f64 b 1/2)) (log.f64 (*.f64 b 1/2)))) (-.f64 (log.f64 b) (log.f64 (*.f64 b 1/2))))
(pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(exp.f64 (log.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))
Outputs
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.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 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.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 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 (*.f64 b 1/2)) (log.f64 b))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (log.f64 b) (log.f64 (*.f64 b 1/2)))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 2)) (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))))
(*.f64 (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))) 3)
(+.f64 (log.f64 (*.f64 b (sqrt.f64 1/2))) (log.f64 (*.f64 b (sqrt.f64 1/2))))
(*.f64 2 (log.f64 (*.f64 b (sqrt.f64 1/2))))
(+.f64 0 (log.f64 (*.f64 b (*.f64 b 1/2))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(+.f64 (log.f64 (*.f64 b b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(-.f64 (+.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(*.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2) (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (log.f64 (*.f64 b 1/2)) 3)) (+.f64 (*.f64 (log.f64 b) (log.f64 b)) (-.f64 (*.f64 (log.f64 (*.f64 b 1/2)) (log.f64 (*.f64 b 1/2))) (*.f64 (log.f64 b) (log.f64 (*.f64 b 1/2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (log.f64 (*.f64 b 1/2)) 3)) (fma.f64 (log.f64 b) (log.f64 b) (*.f64 (log.f64 (*.f64 b 1/2)) (-.f64 (log.f64 (*.f64 b 1/2)) (log.f64 b)))))
(/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (log.f64 (*.f64 b 1/2)) 3)) (fma.f64 (log.f64 (*.f64 b 1/2)) (-.f64 (log.f64 (*.f64 b 1/2)) (log.f64 b)) (*.f64 (log.f64 b) (log.f64 b))))
(/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (log.f64 (*.f64 b 1/2)) 3)) (fma.f64 (log.f64 b) (log.f64 b) (*.f64 (log.f64 (*.f64 b 1/2)) (+.f64 (log.f64 1/2) 0))))
(/.f64 (+.f64 (pow.f64 (log.f64 b) 3) (pow.f64 (log.f64 (*.f64 b 1/2)) 3)) (fma.f64 (log.f64 b) (log.f64 b) (*.f64 (log.f64 1/2) (log.f64 (*.f64 b 1/2)))))
(/.f64 (-.f64 (*.f64 (log.f64 b) (log.f64 b)) (*.f64 (log.f64 (*.f64 b 1/2)) (log.f64 (*.f64 b 1/2)))) (-.f64 (log.f64 b) (log.f64 (*.f64 b 1/2))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 3)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(pow.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3) 1/3)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(exp.f64 (log.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))
(log1p.f64 (fma.f64 b (*.f64 b 1/2) -1))

localize40.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiled 36 to 21 computations (41.7% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite90.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1056×log-prod
902×fma-def
682×pow-prod-down
518×pow-prod-up
516×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01167
123959
2319651
Stop Event
1×node limit
Counts
3 → 162
Calls
Call 1
Inputs
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (*.f64 b b))
Outputs
(+.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 0)
(+.f64 0 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(+.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (log.f64 (/.f64 1 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(+.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (/.f64 1 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)) (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (*.f64 (+.f64 2 b) 1/2) (*.f64 b b))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) 1)
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)))) (log.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))) (log.f64 (neg.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 3))) (log.f64 (+.f64 4 (-.f64 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 2) (*.f64 2 (*.f64 (fma.f64 b 1/2 1) b))))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 2))) (log.f64 (-.f64 2 (*.f64 (fma.f64 b 1/2 1) b))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))) (log.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(*.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 1)
(*.f64 1 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2) (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(pow.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)) (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(exp.f64 (log.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) 2))
(log1p.f64 (-.f64 (fma.f64 (fma.f64 b 1/2 1) b 2) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 b 4) 1/4) (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b)))))
(*.f64 (fma.f64 (fma.f64 b 1/2 1) b 2) 1)
(*.f64 1 (fma.f64 (fma.f64 b 1/2 1) b 2))
(*.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 2) (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(*.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)) (/.f64 1 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)) (/.f64 1 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b)))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)) (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)) (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)) (fma.f64 (pow.f64 b 4) 1/4 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (*.f64 (+.f64 2 b) 1/2) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (neg.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (+.f64 8 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 3)) (+.f64 4 (-.f64 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 2) (*.f64 2 (*.f64 (fma.f64 b 1/2 1) b)))))
(/.f64 (-.f64 4 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 2)) (-.f64 2 (*.f64 (fma.f64 b 1/2 1) b)))
(/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))) (pow.f64 (exp.f64 1) (log.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)))) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)))))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))) (pow.f64 (exp.f64 1) 1))
(pow.f64 (fma.f64 (fma.f64 b 1/2 1) b 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 3)
(pow.f64 (pow.f64 (fma.f64 (fma.f64 b 1/2 1) b 2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (fma.f64 b 1/2 1) b 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2)) (*.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (*.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 1))
(pow.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)) (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) -1)
(pow.f64 (/.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2)) 1) (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) 1) (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 b 1/2 1) b 2) 2))
(log.f64 (exp.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(log.f64 (*.f64 (exp.f64 (+.f64 2 b)) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 b))) (sqrt.f64 (pow.f64 (exp.f64 b) b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 b))) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))
(log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)) (+.f64 1 (expm1.f64 (+.f64 2 b)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))) (exp.f64 (+.f64 2 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))) (+.f64 1 (expm1.f64 (+.f64 2 b)))))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 b 1/2 1) b 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(exp.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(fma.f64 b 1 (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(fma.f64 b (*.f64 b 1/2) (+.f64 2 b))
(fma.f64 b (+.f64 1 (*.f64 b 1/2)) 2)
(fma.f64 (+.f64 2 b) 1 (*.f64 b (*.f64 b 1/2)))
(fma.f64 1/2 (*.f64 b b) (+.f64 2 b))
(fma.f64 (*.f64 b b) 1/2 (+.f64 2 b))
(fma.f64 (*.f64 b (*.f64 b 1/2)) 1 (+.f64 2 b))
(fma.f64 1 b (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(fma.f64 1 (+.f64 2 b) (*.f64 b (*.f64 b 1/2)))
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b))
(fma.f64 1 (*.f64 (fma.f64 b 1/2 1) b) 2)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(fma.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) 1/2) (+.f64 2 b))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (+.f64 2 b))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 2 b))
(fma.f64 (cbrt.f64 (+.f64 2 b)) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 2 b))
(fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (+.f64 8 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b 2) 4)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (-.f64 4 (*.f64 b b)) (/.f64 1 (-.f64 2 b)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b 1/2 1) b)) 2) (cbrt.f64 (*.f64 (fma.f64 b 1/2 1) b)) 2)
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 b) b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b 1/2 1) b)) (sqrt.f64 (*.f64 (fma.f64 b 1/2 1) b)) 2)
(fma.f64 (fma.f64 b 1/2 1) b 2)
(fma.f64 (*.f64 1/2 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (+.f64 2 b))
(fma.f64 (*.f64 (*.f64 b 1/2) 1) b (+.f64 2 b))
(fma.f64 (*.f64 (*.f64 b 1/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (+.f64 2 b))
(fma.f64 (*.f64 (*.f64 b 1/2) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 2 b))
(+.f64 0 (*.f64 b (*.f64 b 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.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 (pow.f64 b 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 b 6) 1/8) 1/3)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 b 6) 1/8)) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 b (sqrt.f64 1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))

simplify97.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
946×unswap-sqr
552×sqr-pow
520×associate-+l+
518×associate-+r+
434×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04157084
110036276
229096146
Stop Event
1×node limit
Counts
198 → 275
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 -1/12 (pow.f64 b 3)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (*.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b)))))) (*.f64 16/3 (/.f64 1 (pow.f64 b 3))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 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 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 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 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 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 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 0)
(+.f64 0 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(+.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (log.f64 (/.f64 1 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(+.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (/.f64 1 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)) (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (*.f64 (+.f64 2 b) 1/2) (*.f64 b b))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) 1)
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)))) (log.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))) (log.f64 (neg.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 3))) (log.f64 (+.f64 4 (-.f64 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 2) (*.f64 2 (*.f64 (fma.f64 b 1/2 1) b))))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 2))) (log.f64 (-.f64 2 (*.f64 (fma.f64 b 1/2 1) b))))
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(exp.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 b 6) 1/8)) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 b (sqrt.f64 1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))
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 -1/12 (pow.f64 b 3)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/12 (pow.f64 b 3))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/12 (pow.f64 b 3) (log.f64 2))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(+.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 (/.f64 2 b) (fma.f64 2 (log.f64 b) (log.f64 1/2)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b))))
(+.f64 (/.f64 2 b) (+.f64 (/.f64 2 (*.f64 b b)) (fma.f64 2 (log.f64 b) (log.f64 1/2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (*.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (/.f64 2 b) (+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)) (/.f64 -16/3 (pow.f64 b 3)))))
(+.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 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (+.f64 (/.f64 2 b) (log.f64 1/2)) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (/.f64 2 b) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (/.f64 2 (*.f64 b b))))
(+.f64 (/.f64 2 b) (+.f64 (/.f64 2 (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b)))))) (*.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (+.f64 (+.f64 (/.f64 2 b) (log.f64 1/2)) (*.f64 -2 (log.f64 (/.f64 -1 b)))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (+.f64 (/.f64 2 b) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (/.f64 2 (*.f64 b b)))) (/.f64 -16/3 (pow.f64 b 3)))
(+.f64 (/.f64 2 b) (+.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (/.f64 2 (*.f64 b b))) (/.f64 -16/3 (pow.f64 b 3))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 1/2 b 1))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 1/2 b 1))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(+.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 0)
(log.f64 (fma.f64 b (fma.f64 b 1/2 1) 2))
(log.f64 (fma.f64 b (fma.f64 1/2 b 1) 2))
(+.f64 0 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))
(log.f64 (fma.f64 b (fma.f64 b 1/2 1) 2))
(log.f64 (fma.f64 b (fma.f64 1/2 b 1) 2))
(+.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (log.f64 (/.f64 1 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (+.f64 b (*.f64 -1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) -1/4))) (log.f64 (fma.f64 -1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(log.f64 (fma.f64 b (fma.f64 b 1/2 1) 2))
(log.f64 (fma.f64 b (fma.f64 1/2 b 1) 2))
(+.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (/.f64 1 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (fma.f64 b (*.f64 1/2 b) (neg.f64 (+.f64 2 b))) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (-.f64 (fma.f64 1/2 (*.f64 b b) -2) b) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (*.f64 (+.f64 2 b) (fma.f64 -1/2 (*.f64 b b) (+.f64 2 b))))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))))
(log.f64 (fma.f64 b (fma.f64 b 1/2 1) 2))
(log.f64 (fma.f64 b (fma.f64 1/2 b 1) 2))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) (log.f64 (cbrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(log.f64 (fma.f64 b (fma.f64 b 1/2 1) 2))
(log.f64 (fma.f64 b (fma.f64 1/2 b 1) 2))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)) (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (fma.f64 b (*.f64 1/2 b) (neg.f64 (+.f64 2 b))) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (-.f64 (fma.f64 1/2 (*.f64 b b) -2) b) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (*.f64 (+.f64 2 b) (fma.f64 -1/2 (*.f64 b b) (+.f64 2 b))))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (+.f64 b (*.f64 -1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) -1/4))) (log.f64 (fma.f64 -1/2 (*.f64 b b) (+.f64 2 b))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (+.f64 b (*.f64 -1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) -1/4))) (log.f64 (fma.f64 -1/2 (*.f64 b b) (+.f64 2 b))))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (fma.f64 b (*.f64 1/2 b) (neg.f64 (+.f64 2 b))) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (-.f64 (fma.f64 1/2 (*.f64 b b) -2) b) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (*.f64 (+.f64 2 b) (fma.f64 -1/2 (*.f64 b b) (+.f64 2 b))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (*.f64 (+.f64 2 b) 1/2) (*.f64 b b))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (fma.f64 b (*.f64 1/2 b) (neg.f64 (+.f64 2 b))) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (-.f64 (fma.f64 1/2 (*.f64 b b) -2) b) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (*.f64 (+.f64 2 b) (fma.f64 -1/2 (*.f64 b b) (+.f64 2 b))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)))) 1)
(log.f64 (fma.f64 b (fma.f64 b 1/2 1) 2))
(log.f64 (fma.f64 b (fma.f64 1/2 b 1) 2))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)))) (log.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 2 b) 3)))) (log.f64 (neg.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (fma.f64 b (*.f64 1/2 b) (neg.f64 (+.f64 2 b))) (pow.f64 (+.f64 2 b) 2)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3)))) (log.f64 (neg.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (-.f64 (fma.f64 1/2 (*.f64 b b) -2) b) (pow.f64 (+.f64 2 b) 2)))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 b 6) -1/8) (pow.f64 (+.f64 2 b) 3))) (log.f64 (neg.f64 (fma.f64 (pow.f64 b 4) 1/4 (*.f64 (+.f64 2 b) (fma.f64 -1/2 (*.f64 b b) (+.f64 2 b)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))) (log.f64 (neg.f64 (+.f64 (+.f64 2 b) (*.f64 -1/2 (*.f64 b b))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))) (log.f64 (neg.f64 (+.f64 2 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))) (log.f64 (-.f64 (fma.f64 1/2 (*.f64 b b) -2) b)))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (neg.f64 (pow.f64 (+.f64 2 b) 2)))) (log.f64 (fma.f64 1/2 (*.f64 b b) (-.f64 -2 b))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 3))) (log.f64 (+.f64 4 (-.f64 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 2) (*.f64 2 (*.f64 (fma.f64 b 1/2 1) b))))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3))) (log.f64 (+.f64 4 (+.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2) (*.f64 -2 (*.f64 b (fma.f64 b 1/2 1)))))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))) (log.f64 (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (*.f64 b (fma.f64 1/2 b 1)) 3))) (log.f64 (+.f64 4 (*.f64 (*.f64 b (fma.f64 1/2 b 1)) (fma.f64 b (fma.f64 1/2 b 1) -2)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (*.f64 (fma.f64 b 1/2 1) b) 2))) (log.f64 (-.f64 2 (*.f64 (fma.f64 b 1/2 1) b))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2))) (log.f64 (-.f64 2 (*.f64 b (fma.f64 b 1/2 1)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))) (log.f64 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (*.f64 b (fma.f64 1/2 b 1)) 2))) (log.f64 (-.f64 2 (*.f64 b (fma.f64 1/2 b 1)))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))) (log.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))) (log.f64 (neg.f64 (+.f64 2 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))) (log.f64 (-.f64 (fma.f64 1/2 (*.f64 b b) -2) b)))
(-.f64 (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (neg.f64 (pow.f64 (+.f64 2 b) 2)))) (log.f64 (fma.f64 1/2 (*.f64 b b) (-.f64 -2 b))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 (fma.f64 b 1/2 1) b 2))))
(log.f64 (fma.f64 b (fma.f64 b 1/2 1) 2))
(log.f64 (fma.f64 b (fma.f64 1/2 b 1) 2))
(*.f64 (log.f64 (fma.f64 (fma.f64 b 1/2 1) b 2)) 1)
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(fma.f64 (*.f64 b b) 1/2 (+.f64 2 b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (*.f64 b (*.f64 b 1/2)) 1 (+.f64 2 b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 1 b (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 1 (+.f64 2 b) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 1 (*.f64 (fma.f64 b 1/2 1) b) 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) 1/2) (+.f64 2 b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (+.f64 2 b))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 b b))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (+.f64 2 b))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 2 b))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 b b))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (+.f64 2 b))
(fma.f64 (cbrt.f64 (+.f64 2 b)) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 2 b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (+.f64 8 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b 2) 4)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (+.f64 (pow.f64 b 3) 8) (/.f64 1 (fma.f64 b (+.f64 b -2) 4)) (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 (*.f64 b b)) (/.f64 (+.f64 (pow.f64 b 3) 8) (fma.f64 b (+.f64 b -2) 4)))
(fma.f64 (-.f64 4 (*.f64 b b)) (/.f64 1 (-.f64 2 b)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (-.f64 4 (*.f64 b b)) (/.f64 1 (-.f64 2 b)) (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 (*.f64 b b)) (/.f64 (-.f64 4 (*.f64 b b)) (-.f64 2 b)))
(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b 1/2 1) b)) 2) (cbrt.f64 (*.f64 (fma.f64 b 1/2 1) b)) 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 b) b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(fma.f64 (sqrt.f64 (*.f64 b (cbrt.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (+.f64 2 (*.f64 1/2 (*.f64 b b))))
(fma.f64 (sqrt.f64 (*.f64 b (cbrt.f64 b))) (fabs.f64 (cbrt.f64 b)) (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (sqrt.f64 (*.f64 b (cbrt.f64 b))) (cbrt.f64 b) (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b 1/2 1) b)) (sqrt.f64 (*.f64 (fma.f64 b 1/2 1) b)) 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (fma.f64 b 1/2 1) b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (*.f64 1/2 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (+.f64 2 b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (*.f64 (*.f64 b 1/2) 1) b (+.f64 2 b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (*.f64 (*.f64 b 1/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (+.f64 2 b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(fma.f64 (*.f64 (*.f64 b 1/2) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 2 b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(fma.f64 b (fma.f64 1/2 b 1) 2)
(+.f64 0 (*.f64 b (*.f64 b 1/2)))
(*.f64 1/2 (*.f64 b b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b))))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)))))
(*.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)))))
(*.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(*.f64 1/2 (*.f64 b b))
(pow.f64 (*.f64 b (*.f64 b 1/2)) 1)
(*.f64 1/2 (*.f64 b b))
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)
(*.f64 1/2 (*.f64 b b))
(pow.f64 (*.f64 (pow.f64 b 4) 1/4) 1/2)
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(pow.f64 (*.f64 (pow.f64 b 6) 1/8) 1/3)
(*.f64 1/2 (*.f64 b b))
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 b b))
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))
(*.f64 1/2 (*.f64 b b))
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(*.f64 1/2 (*.f64 b b))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 1/2 (*.f64 b b))
(exp.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)))
(*.f64 1/2 (*.f64 b b))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)) 1))
(*.f64 1/2 (*.f64 b b))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)) 1) 1))
(*.f64 1/2 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))) 3))
(*.f64 1/2 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 b 6) 1/8)) 1/3))
(*.f64 1/2 (*.f64 b b))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 1/2)) 3) 1/3))
(*.f64 1/2 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (*.f64 b (sqrt.f64 1/2))) 2))
(*.f64 1/2 (*.f64 b b))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 1/2 (*.f64 b b))

localize28.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 2 (expm1.f64 b))
✓98.5%
(log.f64 (+.f64 2 (expm1.f64 b)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

series21.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
15.0ms
b
@inf
(log.f64 (+.f64 2 (expm1.f64 b)))
6.0ms
b
@-inf
(log.f64 (+.f64 2 (expm1.f64 b)))
0.0ms
b
@0
(log.f64 (+.f64 2 (expm1.f64 b)))
0.0ms
b
@0
(+.f64 2 (expm1.f64 b))
0.0ms
b
@inf
(+.f64 2 (expm1.f64 b))

rewrite132.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1598×pow1
1480×add-exp-log
1478×log1p-expm1-u
1476×expm1-log1p-u
1452×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
116226
2196926
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(log.f64 (+.f64 2 (expm1.f64 b)))
(+.f64 2 (expm1.f64 b))
Outputs
(+.f64 0 (log.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2)) (log.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))) (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (log.f64 (-.f64 2 (expm1.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8)) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (exp.f64 b) -1))) 1)
(*.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(*.f64 1 (log.f64 (-.f64 (exp.f64 b) -1)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(exp.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (-.f64 (-.f64 (exp.f64 b) -1) 1))
(-.f64 (exp.f64 b) -1)
(-.f64 (+.f64 1 (-.f64 (exp.f64 b) -1)) 1)
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 b))) (/.f64 (pow.f64 (expm1.f64 b) 2) (-.f64 2 (expm1.f64 b))))
(-.f64 (+.f64 2 (exp.f64 b)) 1)
(*.f64 (-.f64 (exp.f64 b) -1) 1)
(*.f64 1 (-.f64 (exp.f64 b) -1))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2) (cbrt.f64 (-.f64 (exp.f64 b) -1)))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1)) (sqrt.f64 (-.f64 (exp.f64 b) -1)))
(*.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (/.f64 1 (-.f64 2 (expm1.f64 b))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))) (+.f64 (pow.f64 (expm1.f64 b) 3) 8)))
(/.f64 1 (/.f64 (-.f64 2 (expm1.f64 b)) (-.f64 4 (pow.f64 (expm1.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (+.f64 (pow.f64 (expm1.f64 b) 2) (-.f64 4 (*.f64 2 (expm1.f64 b)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (neg.f64 (-.f64 2 (expm1.f64 b))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 b) 2) 4) (-.f64 (expm1.f64 b) 2))
(pow.f64 (-.f64 (exp.f64 b) -1) 1)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1)) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (exp.f64 b) -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1)))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 b) -1) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 b) -1)))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 b) -1) 3))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 b) -1)))
(exp.f64 (log.f64 (-.f64 (exp.f64 b) -1)))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 b) -1)))
(fma.f64 1 (expm1.f64 b) 2)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)) 2)
(fma.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)) 2)

simplify64.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1054×fma-def
984×fma-neg
744×log-prod
732×unswap-sqr
506×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01501319
13371253
210681253
349391253
Stop Event
1×node limit
Counts
79 → 86
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)))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 0 (log.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2)) (log.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))) (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (log.f64 (-.f64 2 (expm1.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8)) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (exp.f64 b) -1))) 1)
(*.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(*.f64 1 (log.f64 (-.f64 (exp.f64 b) -1)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(exp.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (-.f64 (-.f64 (exp.f64 b) -1) 1))
(-.f64 (exp.f64 b) -1)
(-.f64 (+.f64 1 (-.f64 (exp.f64 b) -1)) 1)
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 b))) (/.f64 (pow.f64 (expm1.f64 b) 2) (-.f64 2 (expm1.f64 b))))
(-.f64 (+.f64 2 (exp.f64 b)) 1)
(*.f64 (-.f64 (exp.f64 b) -1) 1)
(*.f64 1 (-.f64 (exp.f64 b) -1))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2) (cbrt.f64 (-.f64 (exp.f64 b) -1)))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1)) (sqrt.f64 (-.f64 (exp.f64 b) -1)))
(*.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (/.f64 1 (-.f64 2 (expm1.f64 b))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))) (+.f64 (pow.f64 (expm1.f64 b) 3) 8)))
(/.f64 1 (/.f64 (-.f64 2 (expm1.f64 b)) (-.f64 4 (pow.f64 (expm1.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (+.f64 (pow.f64 (expm1.f64 b) 2) (-.f64 4 (*.f64 2 (expm1.f64 b)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (neg.f64 (-.f64 2 (expm1.f64 b))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 b) 2) 4) (-.f64 (expm1.f64 b) 2))
(pow.f64 (-.f64 (exp.f64 b) -1) 1)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1)) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (exp.f64 b) -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1)))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 b) -1) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 b) -1)))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 b) -1) 3))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 b) -1)))
(exp.f64 (log.f64 (-.f64 (exp.f64 b) -1)))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 b) -1)))
(fma.f64 1 (expm1.f64 b) 2)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)) 2)
(fma.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.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)))
(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 1/8 (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))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(+.f64 0 (log.f64 (-.f64 (exp.f64 b) -1)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2)) (log.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))) (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (log.f64 (-.f64 2 (expm1.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8)) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8)) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8)) (log.f64 (fma.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8)) (log.f64 (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4)))
(-.f64 (+.f64 1 (log.f64 (-.f64 (exp.f64 b) -1))) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log.f64 (-.f64 (exp.f64 b) -1)))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 2))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(log1p.f64 (-.f64 (-.f64 (exp.f64 b) -1) 1))
(log1p.f64 (exp.f64 b))
(-.f64 (exp.f64 b) -1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(-.f64 (+.f64 1 (-.f64 (exp.f64 b) -1)) 1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 b))) (/.f64 (pow.f64 (expm1.f64 b) 2) (-.f64 2 (expm1.f64 b))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (expm1.f64 b) -2))
(-.f64 (+.f64 2 (exp.f64 b)) 1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(*.f64 (-.f64 (exp.f64 b) -1) 1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(*.f64 1 (-.f64 (exp.f64 b) -1))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2) (cbrt.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1)) (sqrt.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(*.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (fma.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (/.f64 1 (-.f64 2 (expm1.f64 b))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (expm1.f64 b) -2))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))) (+.f64 (pow.f64 (expm1.f64 b) 3) 8)))
(*.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (fma.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4))
(/.f64 1 (/.f64 (-.f64 2 (expm1.f64 b)) (-.f64 4 (pow.f64 (expm1.f64 b) 2))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (expm1.f64 b) -2))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))))
(*.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (fma.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (+.f64 (pow.f64 (expm1.f64 b) 2) (-.f64 4 (*.f64 2 (expm1.f64 b)))))
(*.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (fma.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (expm1.f64 b) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(*.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (fma.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2) 4))
(/.f64 (+.f64 (pow.f64 (expm1.f64 b) 3) 8) (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (neg.f64 (-.f64 2 (expm1.f64 b))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (expm1.f64 b) -2))
(/.f64 (-.f64 (pow.f64 (expm1.f64 b) 2) 4) (-.f64 (expm1.f64 b) 2))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (expm1.f64 b) -2))
(pow.f64 (-.f64 (exp.f64 b) -1) 1)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 3)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) -1) 3) 1/3)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1)) 2)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1)))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 b) -1) 2))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(log.f64 (exp.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 b) -1) 3))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(exp.f64 (log.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(fma.f64 1 (expm1.f64 b) 2)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)) 2)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))
(fma.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)) 2)
(+.f64 1 (exp.f64 b))
(+.f64 2 (expm1.f64 b))

eval280.0ms (1.8%)

Compiler

Compiled 11080 to 7440 computations (32.9% saved)

prune100.0ms (0.6%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New6337640
Fresh134
Picked011
Done178
Total63518653
Accurracy
99.0%
Counts
653 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.0%
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
53.3%
(+.f64 (*.f64 1/2 b) (log.f64 2))
96.6%
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
▶1.4%
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))
✓98.5%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶96.8%
(log1p.f64 (+.f64 (exp.f64 a) b))
54.0%
(log1p.f64 (exp.f64 b))
✓53.9%
(log1p.f64 (exp.f64 a))
✓55.1%
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
✓56.9%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
53.3%
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
▶51.8%
(log.f64 (+.f64 2 (+.f64 b a)))
✓54.0%
(log.f64 (+.f64 2 (expm1.f64 b)))
53.1%
(log.f64 (+.f64 2 b))
✓55.5%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
✓2.1%
(log.f64 (*.f64 b (*.f64 b 1/2)))
▶1.3%
(log.f64 b)
✓52.4%
(log.f64 2)
Compiler

Compiled 230 to 180 computations (21.7% saved)

localize28.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log1p.f64 (+.f64 (exp.f64 a) b))
Compiler

Compiled 16 to 6 computations (62.5% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite58.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1666×pow1
1534×add-exp-log
1534×log1p-expm1-u
1534×expm1-log1p-u
1502×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116315
2209615
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (exp.f64 a) b))
Outputs
(-.f64 (+.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b))) 1)
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 2))
(log.f64 (+.f64 (+.f64 (exp.f64 a) b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))

simplify69.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1224×distribute-rgt-in
1180×distribute-lft-in
710×associate-*r*
620×associate-*l*
560×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01151333
12991273
210061251
349701251
Stop Event
1×node limit
Counts
39 → 62
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))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(-.f64 (+.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b))) 1)
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 2))
(log.f64 (+.f64 (+.f64 (exp.f64 a) b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
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))))
(fma.f64 (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (*.f64 a (*.f64 a 1/2)) (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.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 (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))))) (*.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 (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)))) (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 a (+.f64 2 b))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 (+.f64 2 b)) (-.f64 (/.f64 2 (pow.f64 (+.f64 2 b) 3)) (/.f64 3 (pow.f64 (+.f64 2 b) 2)))) (*.f64 1/6 (pow.f64 a 3)) (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 a (+.f64 2 b))))
(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 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (/.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 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (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 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (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 (log.f64 b) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) 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 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 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 (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 (/.f64 (exp.f64 a) b) (+.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 (/.f64 (exp.f64 a) b) (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 (/.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)) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (log.f64 b))))
(+.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 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 1 b) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) 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 (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 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 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 (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 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 (/.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 (/.f64 (exp.f64 a) b) (+.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 (/.f64 (exp.f64 a) b) (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 (/.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)) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (log.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b))) 1)
(log1p.f64 (+.f64 b (exp.f64 a)))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(log1p.f64 (+.f64 b (exp.f64 a)))
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(log1p.f64 (+.f64 b (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(log1p.f64 (+.f64 b (exp.f64 a)))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 3)
(log1p.f64 (+.f64 b (exp.f64 a)))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3) 1/3)
(log1p.f64 (+.f64 b (exp.f64 a)))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)
(log1p.f64 (+.f64 b (exp.f64 a)))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 2))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 (+.f64 (exp.f64 a) b) 1))
(log1p.f64 (+.f64 b (exp.f64 a)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
(log1p.f64 (+.f64 b (exp.f64 a)))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(log1p.f64 (+.f64 b (exp.f64 a)))

localize15.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize26.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 20 to 10 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite70.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1160×unpow-prod-down
1086×prod-diff
864×log-prod
594×pow-prod-down
556×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
119617
2267317
Stop Event
1×node limit
Counts
1 → 55
Calls
Call 1
Inputs
(log.f64 (+.f64 2 (+.f64 b a)))
Outputs
(+.f64 (log.f64 (+.f64 2 (+.f64 b a))) 0)
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8)) (log.f64 (/.f64 1 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a))))) (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b a)))) (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b a)))))
(+.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 b a) 2))) (log.f64 (/.f64 1 (-.f64 2 (+.f64 b a)))))
(+.f64 0 (log.f64 (+.f64 2 (+.f64 b a))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8)) (log.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8)) (log.f64 (+.f64 (pow.f64 (+.f64 b a) 2) (-.f64 4 (*.f64 2 (+.f64 b a))))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 b a) 2))) (log.f64 (-.f64 2 (+.f64 b a))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4) (+.f64 (pow.f64 (+.f64 b a) 3) 8))))
(-.f64 0 (log.f64 (/.f64 (-.f64 2 (+.f64 b a)) (-.f64 4 (pow.f64 (+.f64 b a) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8))) (log.f64 (neg.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4))))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 b a) 2)))) (log.f64 (neg.f64 (-.f64 2 (+.f64 b a)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (-.f64 (*.f64 a a) (*.f64 (+.f64 2 b) a)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 b a) 2) 4)) (log.f64 (-.f64 (+.f64 b a) 2)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a))) (log.f64 (-.f64 (+.f64 2 b) a)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 (log.f64 (+.f64 2 (+.f64 b a))) 1)
(*.f64 1 (log.f64 (+.f64 2 (+.f64 b a))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (+.f64 b a))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 b a))) (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4) (+.f64 (pow.f64 (+.f64 b a) 3) 8))))
(neg.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 b a)) (-.f64 4 (pow.f64 (+.f64 b a) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(log1p.f64 (-.f64 (+.f64 2 (+.f64 b a)) 1))

simplify63.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1616×fma-def
1120×associate-+l+
1114×associate-+r+
732×distribute-lft-in
708×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02673147
17112997
223922943
Stop Event
1×node limit
Counts
79 → 161
Calls
Call 1
Inputs
(log.f64 (+.f64 2 a))
(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (+.f64 (/.f64 b (+.f64 2 a)) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))))
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2))) (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 a)))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 2 (/.f64 1 a)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2))))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2)))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (/.f64 b a) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 a)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2)))))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2))))))))
(+.f64 (log.f64 (+.f64 2 (+.f64 b a))) 0)
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8)) (log.f64 (/.f64 1 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a))))) (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b a)))) (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b a)))))
(+.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 b a) 2))) (log.f64 (/.f64 1 (-.f64 2 (+.f64 b a)))))
(+.f64 0 (log.f64 (+.f64 2 (+.f64 b a))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8)) (log.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8)) (log.f64 (+.f64 (pow.f64 (+.f64 b a) 2) (-.f64 4 (*.f64 2 (+.f64 b a))))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 b a) 2))) (log.f64 (-.f64 2 (+.f64 b a))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4) (+.f64 (pow.f64 (+.f64 b a) 3) 8))))
(-.f64 0 (log.f64 (/.f64 (-.f64 2 (+.f64 b a)) (-.f64 4 (pow.f64 (+.f64 b a) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8))) (log.f64 (neg.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4))))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 b a) 2)))) (log.f64 (neg.f64 (-.f64 2 (+.f64 b a)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (-.f64 (*.f64 a a) (*.f64 (+.f64 2 b) a)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 b a) 2) 4)) (log.f64 (-.f64 (+.f64 b a) 2)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a))) (log.f64 (-.f64 (+.f64 2 b) a)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 (log.f64 (+.f64 2 (+.f64 b a))) 1)
(*.f64 1 (log.f64 (+.f64 2 (+.f64 b a))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (+.f64 b a))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 b a))) (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4) (+.f64 (pow.f64 (+.f64 b a) 3) 8))))
(neg.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 b a)) (-.f64 4 (pow.f64 (+.f64 b a) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(log1p.f64 (-.f64 (+.f64 2 (+.f64 b a)) 1))
Outputs
(log.f64 (+.f64 2 a))
(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))))
(+.f64 (/.f64 b (+.f64 2 a)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 2 a) 2) b)) (log.f64 (+.f64 2 a))))
(+.f64 (log.f64 (+.f64 2 a)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 2 a) 2) b)) (/.f64 b (+.f64 2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (+.f64 (/.f64 b (+.f64 2 a)) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (+.f64 (log.f64 (+.f64 2 a)) (+.f64 (/.f64 b (+.f64 2 a)) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))))))
(+.f64 (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3)) (/.f64 b (+.f64 2 a))) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 2 a) 2) b)) (log.f64 (+.f64 2 a))))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 2 a)) 3) (/.f64 b (+.f64 2 a))) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 2 a) 2) b)) (log.f64 (+.f64 2 a))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b))))))
(+.f64 (log.f64 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (/.f64 2 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)))))))
(+.f64 (/.f64 2 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (log.f64 b))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 a) b) 3) (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 2 a) 2) b) (+.f64 (log.f64 b) (/.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 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b)))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (+.f64 (/.f64 a b) (/.f64 2 b)) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 a b) (+.f64 (/.f64 2 b) (log.f64 -1))) (log.f64 (/.f64 -1 b)))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 a b) (/.f64 2 b)) (log.f64 (/.f64 -1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 2 b) (+.f64 (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)))) (log.f64 -1))))
(-.f64 (+.f64 (/.f64 2 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (log.f64 -1))) (log.f64 (/.f64 -1 b)))
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 2 a) 2) b) (+.f64 (/.f64 a b) (log.f64 -1))) (log.f64 (/.f64 -1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 2 b) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (+.f64 (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)))) (log.f64 -1)))))
(-.f64 (+.f64 (/.f64 2 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (log.f64 -1)))) (log.f64 (/.f64 -1 b)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 a) b) 3) (log.f64 -1)) (-.f64 (/.f64 2 b) (log.f64 (/.f64 -1 b)))))
(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) (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 2)) (log.f64 (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 2 b)) (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 2) a)) (/.f64 a (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2))) (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (fma.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 2)) (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))))))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 2)) (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3)))) (/.f64 a (+.f64 2 b))))
(+.f64 (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 2) a)) (log.f64 (+.f64 2 b))) (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (/.f64 a (+.f64 2 b))))
(*.f64 -1 (log.f64 (/.f64 1 a)))
(neg.f64 (neg.f64 (log.f64 a)))
(log.f64 a)
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a))))
(+.f64 (/.f64 b a) (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)))
(+.f64 (/.f64 b a) (+.f64 (log.f64 a) (/.f64 2 a)))
(+.f64 (log.f64 a) (+.f64 (/.f64 b a) (/.f64 2 a)))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 2 (/.f64 1 a)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)))))
(+.f64 (log.f64 a) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a)) (/.f64 b a)))
(+.f64 (log.f64 a) (+.f64 (/.f64 b a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2)))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a))))))
(+.f64 (/.f64 b a) (+.f64 (log.f64 a) (+.f64 (/.f64 2 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3)))))))
(+.f64 (log.f64 a) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 b) a) 3) (/.f64 2 a)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 b a))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))
(+.f64 (/.f64 b a) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 a)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (/.f64 b a) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 a) (neg.f64 (log.f64 (/.f64 -1 a))))))
(+.f64 (/.f64 b a) (+.f64 (log.f64 -1) (-.f64 (/.f64 2 a) (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 2 a) (-.f64 (log.f64 (/.f64 -1 a)) (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2)))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 2 a) (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 a)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)))))))
(+.f64 (/.f64 b a) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a))))
(+.f64 (/.f64 2 a) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2))))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 2 a) (+.f64 (log.f64 -1) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3)) (fma.f64 -1 (log.f64 (/.f64 -1 a)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a))))))))
(+.f64 (/.f64 b a) (+.f64 (log.f64 -1) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3)) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a))) (log.f64 (/.f64 -1 a)))) (/.f64 2 a))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 b) a) 3) (/.f64 2 a))))
(+.f64 (log.f64 (+.f64 2 (+.f64 b a))) 0)
(log.f64 (+.f64 2 (+.f64 a b)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 a b)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8)) (log.f64 (/.f64 1 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 (+.f64 a b) -2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 a (+.f64 b -2)) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 b (+.f64 a -2)) 4)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a))))) (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 a b)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b a)))) (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (+.f64 a b)))))
(+.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 b a) 2))) (log.f64 (/.f64 1 (-.f64 2 (+.f64 b a)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2))) (log.f64 (-.f64 2 (+.f64 a b))))
(+.f64 0 (log.f64 (+.f64 2 (+.f64 b a))))
(log.f64 (+.f64 2 (+.f64 a b)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8)) (log.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 (+.f64 a b) -2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 a (+.f64 b -2)) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 b (+.f64 a -2)) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8)) (log.f64 (+.f64 (pow.f64 (+.f64 b a) 2) (-.f64 4 (*.f64 2 (+.f64 b a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 (+.f64 a b) -2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 a (+.f64 b -2)) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 b (+.f64 a -2)) 4)))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 b a) 2))) (log.f64 (-.f64 2 (+.f64 b a))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2))) (log.f64 (-.f64 2 (+.f64 a b))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4) (+.f64 (pow.f64 (+.f64 b a) 3) 8))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 (+.f64 a b) -2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 a (+.f64 b -2)) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 b (+.f64 a -2)) 4)))
(-.f64 0 (log.f64 (/.f64 (-.f64 2 (+.f64 b a)) (-.f64 4 (pow.f64 (+.f64 b a) 2)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2))) (log.f64 (-.f64 2 (+.f64 a b))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 1)
(log.f64 (+.f64 2 (+.f64 a b)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b a) 3) 8))) (log.f64 (neg.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4))))
(-.f64 (log.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 a b) 3)) -8)) (log.f64 (neg.f64 (fma.f64 (+.f64 a b) (+.f64 (+.f64 a b) -2) 4))))
(-.f64 (log.f64 (-.f64 -8 (pow.f64 (+.f64 a b) 3))) (log.f64 (neg.f64 (fma.f64 (+.f64 a b) (+.f64 a (+.f64 b -2)) 4))))
(-.f64 (log.f64 (-.f64 -8 (pow.f64 (+.f64 a b) 3))) (log.f64 (-.f64 -4 (*.f64 (+.f64 a b) (+.f64 b (+.f64 a -2))))))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 b a) 2)))) (log.f64 (neg.f64 (-.f64 2 (+.f64 b a)))))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)))) (log.f64 (neg.f64 (-.f64 2 (+.f64 a b)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 2) -4)) (log.f64 (+.f64 a (+.f64 b -2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 2) -4)) (log.f64 (+.f64 b (+.f64 a -2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (-.f64 (*.f64 a a) (*.f64 (+.f64 2 b) a)))))
(-.f64 (log.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a (-.f64 a (+.f64 2 b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 a (-.f64 a (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))) (log.f64 (fma.f64 a a (*.f64 (+.f64 2 b) (+.f64 2 (-.f64 b a))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 b a) 2) 4)) (log.f64 (-.f64 (+.f64 b a) 2)))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2)))) (log.f64 (neg.f64 (-.f64 2 (+.f64 a b)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 2) -4)) (log.f64 (+.f64 a (+.f64 b -2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 2) -4)) (log.f64 (+.f64 b (+.f64 a -2))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a))) (log.f64 (-.f64 (+.f64 2 b) a)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a))) (log.f64 (+.f64 2 (-.f64 b a))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (+.f64 a b)))))
(*.f64 (log.f64 (+.f64 2 (+.f64 b a))) 1)
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 1 (log.f64 (+.f64 2 (+.f64 b a))))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 a b)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 a b))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 b a)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (+.f64 a b)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 2 (+.f64 b a)))))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (+.f64 b a))))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 a b))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 a b))) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 a b))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 a b))) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 b a))) (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 a b))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 a b))) (cbrt.f64 (log.f64 (+.f64 2 (+.f64 a b))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 a b))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 a b)))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 a b))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 a b)))) 8)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 a b))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 a b))) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(log.f64 (+.f64 2 (+.f64 a b)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(log.f64 (+.f64 2 (+.f64 a b)))
(pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 1)
(log.f64 (+.f64 2 (+.f64 a b)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 3)
(log.f64 (+.f64 2 (+.f64 a b)))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 2) 1/2)
(log.f64 (+.f64 2 (+.f64 a b)))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3) 1/3)
(log.f64 (+.f64 2 (+.f64 a b)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 2)
(log.f64 (+.f64 2 (+.f64 a b)))
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) 2) 4) (+.f64 (pow.f64 (+.f64 b a) 3) 8))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 (+.f64 a b) -2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 a (+.f64 b -2)) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a b) 3) 8)) (log.f64 (fma.f64 (+.f64 a b) (+.f64 b (+.f64 a -2)) 4)))
(neg.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 b a)) (-.f64 4 (pow.f64 (+.f64 b a) 2)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 a b) 2))) (log.f64 (-.f64 2 (+.f64 a b))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 2))
(log.f64 (+.f64 2 (+.f64 a b)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (+.f64 b a))) 3))
(log.f64 (+.f64 2 (+.f64 a b)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(log.f64 (+.f64 2 (+.f64 a b)))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (+.f64 b a)))))
(log.f64 (+.f64 2 (+.f64 a b)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1))
(log.f64 (+.f64 2 (+.f64 a b)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (+.f64 b a)))) 1) 1))
(log.f64 (+.f64 2 (+.f64 a b)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 3))
(log.f64 (+.f64 2 (+.f64 a b)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 1/3))
(log.f64 (+.f64 2 (+.f64 a b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 2 (+.f64 b a))))) 2))
(log.f64 (+.f64 2 (+.f64 a b)))
(log1p.f64 (-.f64 (+.f64 2 (+.f64 b a)) 1))
(log1p.f64 (+.f64 2 (-.f64 (+.f64 a b) 1)))
(log1p.f64 (+.f64 (+.f64 a b) 1))
(log1p.f64 (+.f64 1 (+.f64 a b)))

localize101.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 b (*.f64 b 1/2)) 1)
✓6.9%
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series16.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
9.0ms
b
@inf
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))
6.0ms
b
@0
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))
0.0ms
b
@0
(-.f64 (*.f64 b (*.f64 b 1/2)) 1)
0.0ms
b
@-inf
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))
0.0ms
b
@inf
(-.f64 (*.f64 b (*.f64 b 1/2)) 1)

rewrite63.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1842×pow1
1696×add-exp-log
1696×log1p-expm1-u
1696×expm1-log1p-u
1664×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
120632
2242532
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))
(-.f64 (*.f64 b (*.f64 b 1/2)) 1)
Outputs
(+.f64 0 (log.f64 (*.f64 b (*.f64 b 1/2))))
(+.f64 (log.f64 (*.f64 b 1/2)) (log.f64 b))
(+.f64 (log.f64 b) (log.f64 (*.f64 b 1/2)))
(+.f64 (log.f64 (*.f64 b b)) (log.f64 1/2))
(+.f64 (log.f64 (*.f64 b (sqrt.f64 1/2))) (log.f64 (*.f64 b (sqrt.f64 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 2)) (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))))
(-.f64 (+.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(*.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(*.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2) (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(exp.f64 (log.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(+.f64 (*.f64 b (*.f64 b 1/2)) -1)
(+.f64 -1 (*.f64 b (*.f64 b 1/2)))
(*.f64 1 (fma.f64 (*.f64 b b) 1/2 -1))
(*.f64 (fma.f64 (*.f64 b b) 1/2 -1) 1)
(*.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 2) (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) (sqrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1) (/.f64 1 (fma.f64 b (*.f64 b 1/2) 1)))
(*.f64 (+.f64 (*.f64 b (sqrt.f64 1/2)) 1) (-.f64 (*.f64 b (sqrt.f64 1/2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1)) (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1)))
(/.f64 1 (/.f64 (fma.f64 b (*.f64 b 1/2) 1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (-.f64 1 (*.f64 (*.f64 b (*.f64 b 1/2)) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1) (-.f64 (*.f64 b (*.f64 b 1/2)) -1))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1)) (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1)) (neg.f64 (fma.f64 b (*.f64 b 1/2) 1)))
(pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 3))
(expm1.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(fma.f64 b (*.f64 b 1/2) -1)
(fma.f64 (*.f64 b 1/2) b -1)
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 2) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) -1)
(fma.f64 (*.f64 b b) 1/2 -1)
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) -1)

simplify66.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
954×fma-neg
776×fma-def
698×log-prod
592×unswap-sqr
560×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01331739
12781573
210071533
346691493
Stop Event
1×node limit
Counts
79 → 75
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.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 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
-1
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(*.f64 1/2 (pow.f64 b 2))
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(*.f64 1/2 (pow.f64 b 2))
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(+.f64 0 (log.f64 (*.f64 b (*.f64 b 1/2))))
(+.f64 (log.f64 (*.f64 b 1/2)) (log.f64 b))
(+.f64 (log.f64 b) (log.f64 (*.f64 b 1/2)))
(+.f64 (log.f64 (*.f64 b b)) (log.f64 1/2))
(+.f64 (log.f64 (*.f64 b (sqrt.f64 1/2))) (log.f64 (*.f64 b (sqrt.f64 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 2)) (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))))
(-.f64 (+.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(*.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(*.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2) (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 2))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(exp.f64 (log.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(+.f64 (*.f64 b (*.f64 b 1/2)) -1)
(+.f64 -1 (*.f64 b (*.f64 b 1/2)))
(*.f64 1 (fma.f64 (*.f64 b b) 1/2 -1))
(*.f64 (fma.f64 (*.f64 b b) 1/2 -1) 1)
(*.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 2) (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) (sqrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1) (/.f64 1 (fma.f64 b (*.f64 b 1/2) 1)))
(*.f64 (+.f64 (*.f64 b (sqrt.f64 1/2)) 1) (-.f64 (*.f64 b (sqrt.f64 1/2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1)) (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1)))
(/.f64 1 (/.f64 (fma.f64 b (*.f64 b 1/2) 1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (-.f64 1 (*.f64 (*.f64 b (*.f64 b 1/2)) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1) (-.f64 (*.f64 b (*.f64 b 1/2)) -1))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1)) (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1)) (neg.f64 (fma.f64 b (*.f64 b 1/2) 1)))
(pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 3))
(expm1.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(fma.f64 b (*.f64 b 1/2) -1)
(fma.f64 (*.f64 b 1/2) b -1)
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 2) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) -1)
(fma.f64 (*.f64 b b) 1/2 -1)
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) -1)
Outputs
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b 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 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.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 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
-1
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(-.f64 (*.f64 1/2 (pow.f64 b 2)) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(+.f64 0 (log.f64 (*.f64 b (*.f64 b 1/2))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (log.f64 (*.f64 b 1/2)) (log.f64 b))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (log.f64 b) (log.f64 (*.f64 b 1/2)))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (log.f64 (*.f64 b b)) (log.f64 1/2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (log.f64 (*.f64 b (sqrt.f64 1/2))) (log.f64 (*.f64 b (sqrt.f64 1/2))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 2)) (log.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(-.f64 (+.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(*.f64 1 (log.f64 (*.f64 b (*.f64 b 1/2))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2) (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 3)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(pow.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3) 1/3)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))) 2)
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 2))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 3))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(exp.f64 (log.f64 (log.f64 (*.f64 b (*.f64 b 1/2)))))
(fma.f64 2 (log.f64 b) (log.f64 1/2))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 b (*.f64 b 1/2)) -1)
(fma.f64 1/2 (*.f64 b b) -1)
(+.f64 -1 (*.f64 b (*.f64 b 1/2)))
(fma.f64 1/2 (*.f64 b b) -1)
(*.f64 1 (fma.f64 (*.f64 b b) 1/2 -1))
(fma.f64 1/2 (*.f64 b b) -1)
(*.f64 (fma.f64 (*.f64 b b) 1/2 -1) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(*.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 2))
(fma.f64 1/2 (*.f64 b b) -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 2) (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(fma.f64 1/2 (*.f64 b b) -1)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) (sqrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(fma.f64 1/2 (*.f64 b b) -1)
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 b b) 3) 1/8 -1) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 b b)) 2) (fma.f64 b (*.f64 b 1/2) 1)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 -1) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (fma.f64 1/2 (*.f64 b b) 1)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 -1) (fma.f64 b (*.f64 b 1/2) (fma.f64 (pow.f64 b 4) 1/4 1)))
(/.f64 (fma.f64 (pow.f64 b 6) -1/8 1) (fma.f64 (pow.f64 b 4) -1/4 (fma.f64 b (*.f64 b -1/2) -1)))
(*.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1) (/.f64 1 (fma.f64 b (*.f64 b 1/2) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 1/2 (*.f64 b b)) 2)) 1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 (+.f64 -1 (*.f64 (pow.f64 b 4) 1/4)) (fma.f64 1/2 (*.f64 b b) 1))
(/.f64 (fma.f64 (pow.f64 b 4) 1/4 -1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) -1)))
(*.f64 (+.f64 (*.f64 b (sqrt.f64 1/2)) 1) (-.f64 (*.f64 b (sqrt.f64 1/2)) 1))
(fma.f64 1/2 (*.f64 b b) -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1)) (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 b b) 3) 1/8 -1) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 b b)) 2) (fma.f64 b (*.f64 b 1/2) 1)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 -1) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (fma.f64 1/2 (*.f64 b b) 1)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 -1) (fma.f64 b (*.f64 b 1/2) (fma.f64 (pow.f64 b 4) 1/4 1)))
(/.f64 (fma.f64 (pow.f64 b 6) -1/8 1) (fma.f64 (pow.f64 b 4) -1/4 (fma.f64 b (*.f64 b -1/2) -1)))
(/.f64 1 (/.f64 (fma.f64 b (*.f64 b 1/2) 1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 1/2 (*.f64 b b)) 2)) 1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 (+.f64 -1 (*.f64 (pow.f64 b 4) 1/4)) (fma.f64 1/2 (*.f64 b b) 1))
(/.f64 (fma.f64 (pow.f64 b 4) 1/4 -1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) -1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 b b) 3) 1/8 -1) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 b b)) 2) (fma.f64 b (*.f64 b 1/2) 1)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 -1) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (fma.f64 1/2 (*.f64 b b) 1)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 -1) (fma.f64 b (*.f64 b 1/2) (fma.f64 (pow.f64 b 4) 1/4 1)))
(/.f64 (fma.f64 (pow.f64 b 6) -1/8 1) (fma.f64 (pow.f64 b 4) -1/4 (fma.f64 b (*.f64 b -1/2) -1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (-.f64 1 (*.f64 (*.f64 b (*.f64 b 1/2)) -1))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 b b) 3) 1/8 -1) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 b b)) 2) (fma.f64 b (*.f64 b 1/2) 1)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 -1) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (fma.f64 1/2 (*.f64 b b) 1)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 -1) (fma.f64 b (*.f64 b 1/2) (fma.f64 (pow.f64 b 4) 1/4 1)))
(/.f64 (fma.f64 (pow.f64 b 6) -1/8 1) (fma.f64 (pow.f64 b 4) -1/4 (fma.f64 b (*.f64 b -1/2) -1)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 1/2 (*.f64 b b)) 2)) 1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 (+.f64 -1 (*.f64 (pow.f64 b 4) 1/4)) (fma.f64 1/2 (*.f64 b b) 1))
(/.f64 (fma.f64 (pow.f64 b 4) 1/4 -1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) -1)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1) (-.f64 (*.f64 b (*.f64 b 1/2)) -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 1/2 (*.f64 b b)) 2)) 1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 (+.f64 -1 (*.f64 (pow.f64 b 4) 1/4)) (fma.f64 1/2 (*.f64 b b) 1))
(/.f64 (fma.f64 (pow.f64 b 4) 1/4 -1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) -1)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) -1)) (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) (fma.f64 b (*.f64 b 1/2) 1))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 b b) 3) 1/8 -1) 1) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 b b)) 2) (fma.f64 b (*.f64 b 1/2) 1)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 -1) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (fma.f64 1/2 (*.f64 b b) 1)))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 -1) (fma.f64 b (*.f64 b 1/2) (fma.f64 (pow.f64 b 4) 1/4 1)))
(/.f64 (fma.f64 (pow.f64 b 6) -1/8 1) (fma.f64 (pow.f64 b 4) -1/4 (fma.f64 b (*.f64 b -1/2) -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 2) -1)) (neg.f64 (fma.f64 b (*.f64 b 1/2) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 1/2 (*.f64 b b)) 2)) 1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 (+.f64 -1 (*.f64 (pow.f64 b 4) 1/4)) (fma.f64 1/2 (*.f64 b b) 1))
(/.f64 (fma.f64 (pow.f64 b 4) 1/4 -1) (fma.f64 b (*.f64 b 1/2) 1))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) -1)))
(pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 1)
(fma.f64 1/2 (*.f64 b b) -1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 3)
(fma.f64 1/2 (*.f64 b b) -1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 3) 1/3)
(fma.f64 1/2 (*.f64 b b) -1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 b b) 1/2 -1)) 2)
(fma.f64 1/2 (*.f64 b b) -1)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 2))
(fma.f64 1/2 (*.f64 b b) -1)
(log.f64 (exp.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(fma.f64 1/2 (*.f64 b b) -1)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 b b) 1/2 -1) 3))
(fma.f64 1/2 (*.f64 b b) -1)
(expm1.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(expm1.f64 (log.f64 (*.f64 1/2 (*.f64 b b))))
(exp.f64 (log.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(fma.f64 1/2 (*.f64 b b) -1)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 b b) 1/2 -1)))
(fma.f64 1/2 (*.f64 b b) -1)
(fma.f64 b (*.f64 b 1/2) -1)
(fma.f64 1/2 (*.f64 b b) -1)
(fma.f64 (*.f64 b 1/2) b -1)
(fma.f64 1/2 (*.f64 b b) -1)
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) -1)
(fma.f64 1/2 (*.f64 b b) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 2) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) -1)
(fma.f64 1/2 (*.f64 b b) -1)
(fma.f64 (*.f64 b b) 1/2 -1)
(fma.f64 1/2 (*.f64 b b) -1)
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) -1)
(fma.f64 1/2 (*.f64 b b) -1)

localize47.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiled 28 to 19 computations (32.1% saved)

series7.0ms (0%)

Counts
3 → 39
Calls

15 calls:

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

rewrite85.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1604×prod-diff
1058×log-prod
688×pow-prod-down
672×fma-def
504×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01053
122053
2309353
Stop Event
1×node limit
Counts
3 → 153
Calls
Call 1
Inputs
(log.f64 (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
Outputs
(+.f64 (log.f64 (+.f64 2 b)) 0)
(+.f64 0 (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (/.f64 1 (fma.f64 b (-.f64 b 2) 4))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 b))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 b)))))
(+.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (/.f64 1 (-.f64 2 b))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 b)))) (log.f64 (cbrt.f64 (+.f64 2 b))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 b (-.f64 b 2) 4) (+.f64 (pow.f64 b 3) 8))))
(-.f64 0 (log.f64 (/.f64 (-.f64 2 b) (-.f64 4 (*.f64 b b)))))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (fma.f64 b (-.f64 b 2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (fma.f64 b b (-.f64 4 (*.f64 2 b)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 b)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 b 3) 8))) (log.f64 (neg.f64 (fma.f64 b (-.f64 b 2) 4))))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (*.f64 b b)))) (log.f64 (neg.f64 (-.f64 2 b))))
(-.f64 (log.f64 (fma.f64 b b -4)) (log.f64 (-.f64 b 2)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 b))))
(*.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))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 b))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 2 b) 3)))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 b (-.f64 b 2) 4) (+.f64 (pow.f64 b 3) 8))))
(neg.f64 (log.f64 (/.f64 (-.f64 2 b) (-.f64 4 (*.f64 b b)))))
(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))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 2 b)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 b))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 2 b)))) 2))
(log1p.f64 (-.f64 (+.f64 2 b) 1))
(+.f64 0 (/.f64 a (+.f64 2 b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 a (+.f64 2 b)))) (cbrt.f64 (exp.f64 (/.f64 a (+.f64 2 b)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a (+.f64 2 b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (+.f64 2 b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (+.f64 2 b))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (+.f64 2 b)))) 1)
(*.f64 a (/.f64 1 (+.f64 2 b)))
(*.f64 (/.f64 a (+.f64 2 b)) 1)
(*.f64 1 (/.f64 a (+.f64 2 b)))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 (+.f64 2 b))))
(*.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2) (cbrt.f64 (/.f64 a (+.f64 2 b))))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (+.f64 2 b))))
(*.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (/.f64 a (+.f64 2 b))))
(*.f64 (neg.f64 a) (/.f64 1 (+.f64 (neg.f64 b) -2)))
(*.f64 (/.f64 1 (+.f64 2 b)) a)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 a (cbrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 b))) (/.f64 a (sqrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (+.f64 2 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (/.f64 a (+.f64 2 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 2 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 2 b)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 a (+.f64 (pow.f64 b 3) 8)) (fma.f64 b (-.f64 b 2) 4))
(*.f64 (/.f64 a (-.f64 4 (*.f64 b b))) (-.f64 2 b))
(pow.f64 (/.f64 a (+.f64 2 b)) 1)
(pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) 2)
(pow.f64 (/.f64 (+.f64 2 b) a) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 2 b) a) 1) -1)
(neg.f64 (/.f64 a (+.f64 (neg.f64 b) -2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2))
(log.f64 (exp.f64 (/.f64 a (+.f64 2 b))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))))
(cbrt.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (/.f64 a (+.f64 2 b))))
(exp.f64 (log.f64 (/.f64 a (+.f64 2 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 2 b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 a (+.f64 2 b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 a (+.f64 2 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 a (+.f64 2 b)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 a (+.f64 2 b))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 a (+.f64 2 b)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 b) a)) -1))
(log1p.f64 (expm1.f64 (/.f64 a (+.f64 2 b))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))) (/.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))
(*.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 1)
(*.f64 1 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))
(*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 2) (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))
(*.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2)) (/.f64 1 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3)) (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2)))
(/.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (/.f64 (log.f64 (+.f64 2 b)) (/.f64 (+.f64 2 b) a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2)) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3))) (neg.f64 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2))) (neg.f64 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))
(pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 2))
(log.f64 (*.f64 (+.f64 2 b) (exp.f64 (/.f64 a (+.f64 2 b)))))
(log.f64 (+.f64 1 (fma.f64 (+.f64 2 b) (exp.f64 (/.f64 a (+.f64 2 b))) -1)))
(log.f64 (*.f64 (+.f64 2 b) (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b))))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 b) 1)) (exp.f64 (/.f64 a (+.f64 2 b)))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 b) 1)) (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b))))))
(log.f64 (*.f64 (exp.f64 (/.f64 a (+.f64 2 b))) (+.f64 1 (-.f64 (+.f64 2 b) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))) (+.f64 2 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))) (+.f64 1 (-.f64 (+.f64 2 b) 1))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))
(exp.f64 (log.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))) 2))
(log1p.f64 (fma.f64 (+.f64 2 b) (exp.f64 (/.f64 a (+.f64 2 b))) -1))
(fma.f64 (log.f64 (+.f64 2 b)) 1 (/.f64 a (+.f64 2 b)))
(fma.f64 a (/.f64 1 (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 a (+.f64 2 b)) 1 (log.f64 (+.f64 2 b)))
(fma.f64 1 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(fma.f64 1 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2) (log.f64 (+.f64 2 b)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2) (cbrt.f64 (/.f64 a (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (/.f64 a (+.f64 2 b)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))) (/.f64 a (+.f64 2 b)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (/.f64 a (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))) (/.f64 a (+.f64 2 b)))
(fma.f64 (neg.f64 a) (/.f64 1 (+.f64 (neg.f64 b) -2)) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 1 (+.f64 2 b)) a (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 a (cbrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 b))) (/.f64 a (sqrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (/.f64 a (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 2 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 a (+.f64 (pow.f64 b 3) 8)) (fma.f64 b (-.f64 b 2) 4) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 a (-.f64 4 (*.f64 b b))) (-.f64 2 b) (log.f64 (+.f64 2 b)))

simplify93.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1046×unswap-sqr
926×cancel-sign-sub-inv
772×fma-neg
550×fma-def
418×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04576286
111176018
238366008
Stop Event
1×node limit
Counts
192 → 286
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 1/2 a)
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/8 (*.f64 a (pow.f64 b 2))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/8 (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 -1/16 (*.f64 a (pow.f64 b 3))))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(log.f64 (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 (-.f64 1/2 (*.f64 1/4 a)) b)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/8 (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (*.f64 (-.f64 1/2 (*.f64 1/4 a)) b))))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/8 (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 1/24 (*.f64 1/16 a))) (*.f64 (-.f64 1/2 (*.f64 1/4 a)) b)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 a b))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))))) (*.f64 -4 (/.f64 a (pow.f64 b 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b)))))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (log.f64 -1) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 b 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b)))))))
(+.f64 (log.f64 (+.f64 2 b)) 0)
(+.f64 0 (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (/.f64 1 (fma.f64 b (-.f64 b 2) 4))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 b))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 b)))))
(+.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (/.f64 1 (-.f64 2 b))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 b)))) (log.f64 (cbrt.f64 (+.f64 2 b))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 b (-.f64 b 2) 4) (+.f64 (pow.f64 b 3) 8))))
(-.f64 0 (log.f64 (/.f64 (-.f64 2 b) (-.f64 4 (*.f64 b b)))))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (fma.f64 b (-.f64 b 2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (fma.f64 b b (-.f64 4 (*.f64 2 b)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 b)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 b 3) 8))) (log.f64 (neg.f64 (fma.f64 b (-.f64 b 2) 4))))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (*.f64 b b)))) (log.f64 (neg.f64 (-.f64 2 b))))
(-.f64 (log.f64 (fma.f64 b b -4)) (log.f64 (-.f64 b 2)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 b))))
(*.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))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 b))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 2 b) 3)))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 b (-.f64 b 2) 4) (+.f64 (pow.f64 b 3) 8))))
(neg.f64 (log.f64 (/.f64 (-.f64 2 b) (-.f64 4 (*.f64 b b)))))
(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))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 2 b)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 b))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 2 b)))) 2))
(log1p.f64 (-.f64 (+.f64 2 b) 1))
(+.f64 0 (/.f64 a (+.f64 2 b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 a (+.f64 2 b)))) (cbrt.f64 (exp.f64 (/.f64 a (+.f64 2 b)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a (+.f64 2 b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (+.f64 2 b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (+.f64 2 b))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (+.f64 2 b)))) 1)
(*.f64 a (/.f64 1 (+.f64 2 b)))
(*.f64 (/.f64 a (+.f64 2 b)) 1)
(*.f64 1 (/.f64 a (+.f64 2 b)))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 (+.f64 2 b))))
(*.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2) (cbrt.f64 (/.f64 a (+.f64 2 b))))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (+.f64 2 b))))
(*.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (/.f64 a (+.f64 2 b))))
(*.f64 (neg.f64 a) (/.f64 1 (+.f64 (neg.f64 b) -2)))
(*.f64 (/.f64 1 (+.f64 2 b)) a)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 a (cbrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 b))) (/.f64 a (sqrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (+.f64 2 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (/.f64 a (+.f64 2 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 2 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 2 b)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 a (+.f64 (pow.f64 b 3) 8)) (fma.f64 b (-.f64 b 2) 4))
(*.f64 (/.f64 a (-.f64 4 (*.f64 b b))) (-.f64 2 b))
(pow.f64 (/.f64 a (+.f64 2 b)) 1)
(pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) 2)
(pow.f64 (/.f64 (+.f64 2 b) a) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 2 b) a) 1) -1)
(neg.f64 (/.f64 a (+.f64 (neg.f64 b) -2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2))
(log.f64 (exp.f64 (/.f64 a (+.f64 2 b))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))))
(cbrt.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (/.f64 a (+.f64 2 b))))
(exp.f64 (log.f64 (/.f64 a (+.f64 2 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 2 b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 a (+.f64 2 b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 a (+.f64 2 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 a (+.f64 2 b)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 a (+.f64 2 b))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 a (+.f64 2 b)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 b) a)) -1))
(log1p.f64 (expm1.f64 (/.f64 a (+.f64 2 b))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))) (/.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))
(*.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 1)
(*.f64 1 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))
(*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 2) (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))
(*.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2)) (/.f64 1 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3)) (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2)))
(/.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (/.f64 (log.f64 (+.f64 2 b)) (/.f64 (+.f64 2 b) a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2)) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3))) (neg.f64 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2))) (neg.f64 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))
(pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (pow.f64 (log.f64 (+.f64 2 b)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 2))
(log.f64 (*.f64 (+.f64 2 b) (exp.f64 (/.f64 a (+.f64 2 b)))))
(log.f64 (+.f64 1 (fma.f64 (+.f64 2 b) (exp.f64 (/.f64 a (+.f64 2 b))) -1)))
(log.f64 (*.f64 (+.f64 2 b) (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b))))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 b) 1)) (exp.f64 (/.f64 a (+.f64 2 b)))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 b) 1)) (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b))))))
(log.f64 (*.f64 (exp.f64 (/.f64 a (+.f64 2 b))) (+.f64 1 (-.f64 (+.f64 2 b) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))) (+.f64 2 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))) (+.f64 1 (-.f64 (+.f64 2 b) 1))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))
(exp.f64 (log.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))) 2))
(log1p.f64 (fma.f64 (+.f64 2 b) (exp.f64 (/.f64 a (+.f64 2 b))) -1))
(fma.f64 (log.f64 (+.f64 2 b)) 1 (/.f64 a (+.f64 2 b)))
(fma.f64 a (/.f64 1 (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 a (+.f64 2 b)) 1 (log.f64 (+.f64 2 b)))
(fma.f64 1 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(fma.f64 1 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2) (log.f64 (+.f64 2 b)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2) (cbrt.f64 (/.f64 a (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (/.f64 a (+.f64 2 b)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))) (/.f64 a (+.f64 2 b)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (/.f64 a (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))) (/.f64 a (+.f64 2 b)))
(fma.f64 (neg.f64 a) (/.f64 1 (+.f64 (neg.f64 b) -2)) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 1 (+.f64 2 b)) a (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 a (cbrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 b))) (/.f64 a (sqrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (/.f64 a (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 2 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 a (+.f64 (pow.f64 b 3) 8)) (fma.f64 b (-.f64 b 2) 4) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 a (-.f64 4 (*.f64 b b))) (-.f64 2 b) (log.f64 (+.f64 2 b)))
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)))
(+.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))))
(*.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 (/.f64 2 b) (-.f64 (log.f64 b) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (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 (+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3)))) (/.f64 -2 (*.f64 b b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 b))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 2 b) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 2 b) (log.f64 -1)) (log.f64 (/.f64 -1 b)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 2 b) (log.f64 -1))) (/.f64 2 (*.f64 b b)))
(-.f64 (-.f64 (+.f64 (/.f64 2 b) (log.f64 -1)) (log.f64 (/.f64 -1 b))) (/.f64 2 (*.f64 b b)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 2 b) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (log.f64 -1)))) (/.f64 2 (*.f64 b b)))
(-.f64 (+.f64 (-.f64 (+.f64 (/.f64 2 b) (log.f64 -1)) (log.f64 (/.f64 -1 b))) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (-.f64 (/.f64 2 b) (log.f64 (/.f64 -1 b))) (+.f64 (+.f64 (/.f64 8/3 (pow.f64 b 3)) (log.f64 -1)) (/.f64 -2 (*.f64 b b))))
(*.f64 1/2 a)
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 a (*.f64 (*.f64 -1/4 a) b))
(fma.f64 1/2 a (*.f64 b (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/8 (*.f64 a (pow.f64 b 2))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 (*.f64 b b) a) (*.f64 (*.f64 -1/4 a) b)))
(fma.f64 1/2 a (fma.f64 -1/4 (*.f64 b a) (*.f64 (*.f64 b b) (*.f64 a 1/8))))
(fma.f64 1/2 a (fma.f64 (*.f64 a 1/8) (*.f64 b b) (*.f64 b (*.f64 a -1/4))))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/8 (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 -1/16 (*.f64 a (pow.f64 b 3))))))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 (*.f64 b b) a) (fma.f64 -1/4 (*.f64 b a) (*.f64 -1/16 (*.f64 (pow.f64 b 3) a)))))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 b (*.f64 b a)) (fma.f64 -1/4 (*.f64 b a) (*.f64 (pow.f64 b 3) (*.f64 a -1/16)))))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 b (*.f64 b a)) (fma.f64 -1/16 (*.f64 (pow.f64 b 3) a) (*.f64 b (*.f64 a -1/4)))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b))
(fma.f64 -2 (/.f64 (/.f64 a b) b) (/.f64 a b))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 (/.f64 a b) b) (/.f64 a b)))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 (/.f64 a b) b) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b))
(fma.f64 -2 (/.f64 (/.f64 a b) b) (/.f64 a b))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 (/.f64 a b) b) (/.f64 a b)))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 (/.f64 a b) b) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(log.f64 (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(+.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 (-.f64 1/2 (*.f64 1/4 a)) b)))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 b (+.f64 1/2 (*.f64 -1/4 a))))
(fma.f64 1/2 a (fma.f64 b (-.f64 1/2 (*.f64 a 1/4)) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 b (+.f64 1/2 (*.f64 a -1/4)) (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/8 (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (*.f64 (-.f64 1/2 (*.f64 1/4 a)) b))))
(fma.f64 1/2 a (fma.f64 -1 (*.f64 (*.f64 b b) (+.f64 1/8 (*.f64 -1/8 a))) (+.f64 (log.f64 2) (*.f64 b (+.f64 1/2 (*.f64 -1/4 a))))))
(fma.f64 1/2 a (-.f64 (fma.f64 b (-.f64 1/2 (*.f64 a 1/4)) (log.f64 2)) (*.f64 (*.f64 b b) (fma.f64 -1/8 a 1/8))))
(-.f64 (fma.f64 1/2 a (fma.f64 b (+.f64 1/2 (*.f64 a -1/4)) (log.f64 2))) (*.f64 (*.f64 b b) (fma.f64 -1/8 a 1/8)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/8 (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 1/24 (*.f64 1/16 a))) (*.f64 (-.f64 1/2 (*.f64 1/4 a)) b)))))
(fma.f64 1/2 a (fma.f64 -1 (*.f64 (*.f64 b b) (+.f64 1/8 (*.f64 -1/8 a))) (+.f64 (log.f64 2) (fma.f64 (pow.f64 b 3) (+.f64 1/24 (*.f64 -1/16 a)) (*.f64 b (+.f64 1/2 (*.f64 -1/4 a)))))))
(fma.f64 1/2 a (-.f64 (+.f64 (log.f64 2) (fma.f64 b (-.f64 1/2 (*.f64 a 1/4)) (*.f64 (pow.f64 b 3) (-.f64 1/24 (*.f64 a 1/16))))) (*.f64 (*.f64 b b) (fma.f64 -1/8 a 1/8))))
(fma.f64 1/2 a (+.f64 (-.f64 (fma.f64 b (+.f64 1/2 (*.f64 a -1/4)) (log.f64 2)) (*.f64 (*.f64 b b) (fma.f64 -1/8 a 1/8))) (*.f64 (pow.f64 b 3) (+.f64 1/24 (*.f64 a -1/16)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b)) (/.f64 2 b))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 a b)))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 a b))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (*.f64 b b)) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b))))
(+.f64 (/.f64 2 b) (-.f64 (+.f64 (log.f64 b) (/.f64 a b)) (/.f64 (fma.f64 2 a 2) (*.f64 b b))))
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(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 a (cbrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 (/.f64 a (cbrt.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)))
(fma.f64 (/.f64 a (+.f64 (pow.f64 b 3) 8)) (fma.f64 b (-.f64 b 2) 4) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 a (+.f64 (pow.f64 b 3) 8)) (fma.f64 b (+.f64 b -2) 4) (log.f64 (+.f64 2 b)))
(fma.f64 (fma.f64 b (+.f64 b -2) 4) (/.f64 a (+.f64 (pow.f64 b 3) 8)) (log.f64 (+.f64 2 b)))
(fma.f64 (/.f64 a (-.f64 4 (*.f64 b b))) (-.f64 2 b) (log.f64 (+.f64 2 b)))
(fma.f64 (-.f64 2 b) (/.f64 a (-.f64 4 (*.f64 b b))) (log.f64 (+.f64 2 b)))

eval206.0ms (1.3%)

Compiler

Compiled 10683 to 7489 computations (29.9% saved)

prune93.0ms (0.6%)

Pruning

22 alts after pruning (11 fresh and 11 done)

PrunedKeptTotal
New5786584
Fresh055
Picked101
Done11112
Total58022602
Accurracy
99.0%
Counts
602 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.5%
(/.f64 a (+.f64 2 b))
53.3%
(+.f64 (*.f64 1/2 b) (log.f64 2))
52.2%
(+.f64 (*.f64 1/2 a) (log.f64 2))
96.6%
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
✓1.4%
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))
51.8%
(log1p.f64 (+.f64 (+.f64 a b) 1))
✓98.5%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
✓96.8%
(log1p.f64 (+.f64 (exp.f64 a) b))
5.3%
(log1p.f64 (*.f64 1/2 (*.f64 b b)))
54.0%
(log1p.f64 (exp.f64 b))
✓53.9%
(log1p.f64 (exp.f64 a))
1.1%
(log1p.f64 -1)
✓55.1%
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
✓56.9%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
53.3%
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
✓54.0%
(log.f64 (+.f64 2 (expm1.f64 b)))
53.1%
(log.f64 (+.f64 2 b))
51.1%
(log.f64 (+.f64 2 a))
✓55.5%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
✓2.1%
(log.f64 (*.f64 b (*.f64 b 1/2)))
✓1.3%
(log.f64 b)
✓52.4%
(log.f64 2)
Compiler

Compiled 168 to 133 computations (20.8% saved)

regimes49.0ms (0.3%)

Counts
30 → 1
Calls
Call 1
Inputs
(/.f64 a (+.f64 2 b))
(log.f64 2)
(log.f64 b)
(log1p.f64 -1)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 b (*.f64 b 1/2)))
(log.f64 (+.f64 2 (+.f64 b a)))
(log1p.f64 (*.f64 1/2 (*.f64 b b)))
(log1p.f64 (+.f64 (+.f64 a b) 1))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log1p.f64 (-.f64 (*.f64 b (*.f64 b 1/2)) 1))
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Calls

6 calls:

14.0ms
a
14.0ms
b
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.5%1a
98.5%1b
98.5%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.5%1(+.f64 (exp.f64 a) (exp.f64 b))
98.5%1(exp.f64 a)
98.5%1(exp.f64 b)
Compiler

Compiled 220 to 139 computations (36.8% saved)

regimes44.0ms (0.3%)

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

6 calls:

13.0ms
a
12.0ms
b
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
96.8%1a
96.8%1b
96.8%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
96.8%1(+.f64 (exp.f64 a) (exp.f64 b))
96.8%1(exp.f64 a)
96.8%1(exp.f64 b)
Compiler

Compiled 196 to 130 computations (33.7% saved)

regimes42.0ms (0.3%)

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

4 calls:

17.0ms
b
12.0ms
a
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
54.0%1a
55.8%2b
54.0%1(exp.f64 a)
55.6%2(exp.f64 b)
Compiler

Compiled 125 to 88 computations (29.6% saved)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.922232501634747e-73
2.3741125464697303e-72
Results
11.0ms55×body512valid
5.0ms41×body256valid
Compiler

Compiled 85 to 70 computations (17.6% saved)

regimes24.0ms (0.2%)

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

3 calls:

9.0ms
a
8.0ms
b
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
53.9%1a
53.9%1b
53.9%1(exp.f64 a)
Compiler

Compiled 108 to 76 computations (29.6% saved)

regimes20.0ms (0.1%)

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

2 calls:

8.0ms
a
8.0ms
b
Results
AccuracySegmentsBranch
53.3%1a
53.3%1b
Compiler

Compiled 101 to 71 computations (29.7% saved)

regimes14.0ms (0.1%)

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

2 calls:

6.0ms
a
6.0ms
b
Results
AccuracySegmentsBranch
53.1%1a
53.1%1b
Compiler

Compiled 57 to 41 computations (28.1% saved)

regimes10.0ms (0.1%)

Accuracy

Total -33.4b remaining (-109.6%)

Threshold costs -33.4b (-109.6%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 a (+.f64 2 b))
(log.f64 2)
(log.f64 b)
(log1p.f64 -1)
(log.f64 (+.f64 2 a))
Outputs
(log.f64 2)
Calls

2 calls:

5.0ms
b
4.0ms
a
Results
AccuracySegmentsBranch
52.4%1a
52.4%1b
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify7.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028116
133116
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(if (<=.f64 b 8593745525161113/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (+.f64 2 b))
(log.f64 2)
(/.f64 a (+.f64 2 b))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(if (<=.f64 b 8593745525161113/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b 2))
(log.f64 2)
(/.f64 a (+.f64 2 b))
(/.f64 a (+.f64 b 2))
Compiler

Compiled 57 to 45 computations (21.1% saved)

soundness728.0ms (4.7%)

Rules
1792×pow1
1684×times-frac
1646×add-exp-log
1646×log1p-expm1-u
1646×expm1-log1p-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0934
117734
2226234
01972874
14872502
216162316
371442316
01972874
14872502
216162316
371442316
059513123
1148912059
2531612009
01972874
14872502
216162316
371442316
01972874
14872502
216162316
371442316
01038
120538
2272932
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 213 to 101 computations (52.6% saved)

end66.0ms (0.4%)

Compiler

Compiled 118 to 78 computations (33.9% saved)

Profiling

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