Details

Time bar (total: 17.4s)

analyze170.0ms (1%)

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

Compiled 9 to 7 computations (22.2% saved)

sample11.1s (63.7%)

Results
8.9s7814×body8192exit
1.0s1923×body1024valid
741.0ms5131×body256valid
281.0ms1000×body512valid
144.0ms202×body2048valid
Bogosity

preprocess16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
29.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
29.0b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
3.7b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series73.0ms (0.4%)

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

rewrite74.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1808×add-sqr-sqrt
1792×*-un-lft-identity
1664×add-cube-cbrt
1644×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
117734
2222734
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))))

simplify81.0ms (0.5%)

Algorithm
egg-herbie
Rules
1090×fma-def
1004×unswap-sqr
902×distribute-lft-in
844×distribute-rgt-in
516×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02002618
14992362
219822350
377112350
Stop Event
node limit
Counts
74 → 115
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) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (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 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (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)))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(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)
(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 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 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 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.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 (-.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) 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 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.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) (pow.f64 (exp.f64 b) 3))))
(/.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)) (+.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 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.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 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(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 (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))))
(log.f64 (+.f64 1 (expm1.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 (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))
(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))
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 a (*.f64 a 1/2)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a 1/2)) (/.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 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 (*.f64 a (*.f64 a 1/2)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (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 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a 1/2)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (/.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))) (log1p.f64 (exp.f64 a))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.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 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (exp.f64 b) (+.f64 1 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) 1) a) (exp.f64 b))
(fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (+.f64 1 a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (fma.f64 1/6 (pow.f64 a 3) a))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 b 3) 1) (exp.f64 a)) (fma.f64 1/2 (*.f64 b b) b))
(+.f64 b (+.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) (fma.f64 1/6 (pow.f64 b 3) 1)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(-.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 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 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 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.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 (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 (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 (-.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 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.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)) (exp.f64 (+.f64 a a))))
(/.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 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.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) (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)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.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 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.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)) (/.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)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.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)) (exp.f64 (+.f64 a 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 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.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 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.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)) (exp.f64 (+.f64 a a))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.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 (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 (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))
(pow.f64 (exp.f64 1) (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))
(log.f64 (+.f64 1 (expm1.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))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.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 (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))
(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))

eval30.0ms (0.2%)

Compiler

Compiled 1984 to 1041 computations (47.5% saved)

prune23.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1069115
Fresh000
Picked101
Done000
Total1079116
Error
0.6b
Counts
116 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
30.1b
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
29.5b
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.5b
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
31.7b
(log1p.f64 (exp.f64 b))
30.9b
(log1p.f64 (exp.f64 a))
30.2b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
30.0b
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
31.7b
(log.f64 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 168 to 130 computations (22.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (exp.f64 a))
0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0b
(+.f64 1 (exp.f64 a))
0.0b
(/.f64 b (+.f64 1 (exp.f64 a)))
Compiler

Compiled 30 to 14 computations (53.3% saved)

series61.0ms (0.4%)

Counts
4 → 44
Calls

18 calls:

TimeVariablePointExpression
28.0ms
a
@-inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
14.0ms
a
@-inf
(/.f64 b (+.f64 1 (exp.f64 a)))
12.0ms
a
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
3.0ms
b
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms
b
@inf
(/.f64 b (+.f64 1 (exp.f64 a)))

rewrite98.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1562×associate-*r/
1072×*-commutative
996×associate-*l/
920×associate-/r*
674×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01168
122968
2305568
Stop Event
node limit
Counts
4 → 245
Calls
Call 1
Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (-.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (/.f64 (sqrt.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (*.f64 b (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (*.f64 b (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (exp.f64 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) 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simplify138.0ms (0.8%)

Algorithm
egg-herbie
Rules
766×associate-*r*
674×associate-/l*
614×associate-*l*
586×fma-def
516×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063412365
1171311863
Stop Event
node limit
Counts
289 → 378
Calls
Call 1
Inputs
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
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(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) 0)
(+.f64 0 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)
(*.f64 1 (log1p.f64 (exp.f64 a)))
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(log.f64 (+.f64 1 (exp.f64 a)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
Outputs
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 -1/4 a)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))
(fma.f64 1/2 b (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 (*.f64 a a) 1/8))
(fma.f64 1/2 a (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 (*.f64 a a) 1/8)))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (pow.f64 (cbrt.f64 b) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(*.f64 b (/.f64 (+.f64 -1 (exp.f64 a)) (fma.f64 (exp.f64 a) (exp.f64 a) -1)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) b))
(*.f64 (neg.f64 b) (/.f64 1 (-.f64 -1 (exp.f64 a))))
(/.f64 (neg.f64 b) (-.f64 -1 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (sqrt.f64 b))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (/.f64 (sqrt.f64 b) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b 1) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
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(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(log1p.f64 (exp.f64 a))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(log1p.f64 (exp.f64 a))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 a) 2))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1)
(log1p.f64 (exp.f64 a))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 a) 2))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)
(log1p.f64 (exp.f64 a))
(*.f64 1 (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(log1p.f64 (exp.f64 a))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(log1p.f64 (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(log1p.f64 (exp.f64 a))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(log1p.f64 (exp.f64 a))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(log1p.f64 (exp.f64 a))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(log1p.f64 (exp.f64 a))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(fabs.f64 (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(log1p.f64 (exp.f64 a))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (exp.f64 a))
Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 b))
1.5b
(log.f64 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 15 to 9 computations (40% saved)

series30.0ms (0.2%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
17.0ms
b
@inf
(log.f64 (+.f64 1 (exp.f64 b)))
13.0ms
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))

rewrite70.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1434×add-sqr-sqrt
1418×*-un-lft-identity
1318×add-cube-cbrt
1304×add-cbrt-cube
1290×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
115320
2177020
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 b))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)))))

simplify63.0ms (0.4%)

Algorithm
egg-herbie
Rules
1374×times-frac
1146×associate-/l*
738×associate-+r+
660×associate-+l+
648×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01411286
13221180
211681000
33683976
Stop Event
node limit
Counts
62 → 91
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 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (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 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.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 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(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))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(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 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(*.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 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.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 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.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) 2)) (-.f64 1 (exp.f64 b)))
(/.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 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.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)))))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(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 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.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)))
(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))))
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 0 (log1p.f64 (exp.f64 b)))
(log1p.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 (*.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 (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 (exp.f64 b) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (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 (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 (neg.f64 (expm1.f64 (+.f64 b b)))) (log.f64 (neg.f64 (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 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(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))
(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))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(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 (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 (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 (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 (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 (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 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.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 (+.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 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 (-.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 (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)
(/.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 (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))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.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 (exp.f64 b) 1)
(+.f64 2 (expm1.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 (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 (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 (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 (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 (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 (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 (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 (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 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(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 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 b (*.f64 1/2 (*.f64 b b)))
0.0b
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
2.3b
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
Compiler

Compiled 58 to 28 computations (51.7% saved)

series74.0ms (0.4%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
49.0ms
a
@inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
22.0ms
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))))))

rewrite127.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1766×associate-*r/
1380×associate-*l/
602×associate-+l+
382×associate-+r+
350×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01487
129975
2405475
Stop Event
node limit
Counts
3 → 163
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
Outputs
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b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (*.f64 b (*.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b 1/2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 b b) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 1/2 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 b (*.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 b (*.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 1/2) b b)))))

simplify139.0ms (0.8%)

Algorithm
egg-herbie
Rules
1264×associate-/r*
624×associate--r+
532×associate-+r-
528×fma-def
520×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051711657
1139711031
2547811009
Stop Event
node limit
Counts
223 → 311
Calls
Call 1
Inputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 16 (*.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b)))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (*.f64 -1/6 (/.f64 (-.f64 (*.f64 24 (+.f64 1 (exp.f64 a))) 16) (pow.f64 b 3)))))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 0)
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))) (log.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)))) (log.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 1))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 0)
(-.f64 (+.f64 1 (exp.f64 a)) (-.f64 1 (+.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b))) (-.f64 1 (+.f64 1 (exp.f64 a))))
(-.f64 (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (-.f64 (/.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (+.f64 1 (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) (-.f64 (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (-.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1))
(-.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (-.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(-.f64 (+.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))) 1)
(-.f64 (+.f64 (+.f64 1 (exp.f64 a)) (/.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 (+.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 1 (exp.f64 a))) (exp.f64 (log1p.f64 b))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) 1) (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) 1) (/.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)))))
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(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 b b)) 1) (-.f64 (*.f64 b (*.f64 b 1/2)) b))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4)))) 1) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))) 1) (neg.f64 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4)))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b))) (sqrt.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b))) (sqrt.f64 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)) (cbrt.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)) (cbrt.f64 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/4 (pow.f64 b 4)))) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b))))) (+.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (*.f64 1/4 (pow.f64 b 4)) 3)) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b))))) (+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/4 (pow.f64 b 4))) (*.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 b b) 3) (*.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2))))) (-.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) 3)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2))))) (+.f64 (pow.f64 (*.f64 b b) 3) (-.f64 (*.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))) (*.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1 b (*.f64 b (*.f64 b 1/2)))
(fma.f64 1 (*.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 (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 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) b)
(fma.f64 (*.f64 b 1/2) b b)
Outputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b 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 (*.f64 b 1/2) b b))) (/.f64 a (+.f64 2 (fma.f64 (*.f64 b 1/2) b 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 (*.f64 b 1/2) b b))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)) 2)))) (log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)))))
(+.f64 (/.f64 a (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (/.f64 -1 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 2))))) (log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 (*.f64 b 1/2) b b))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)) 3)) (/.f64 3 (pow.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)) 2))))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)) 2)))) (log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b 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 a (*.f64 a (+.f64 (/.f64 1 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (/.f64 -1 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 2))))) (log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.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 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.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 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.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 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.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 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.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 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.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 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.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 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(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 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (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 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (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 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (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 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (exp.f64 a) 4) 0) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 16 (*.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b)))))))
(fma.f64 1/6 (/.f64 (+.f64 16 (+.f64 -24 (*.f64 -24 (exp.f64 a)))) (pow.f64 b 3)) (+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2)))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))) (fma.f64 1/6 (/.f64 (+.f64 -8 (*.f64 (exp.f64 a) -24)) (pow.f64 b 3)) (/.f64 2 b)))
(+.f64 (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (exp.f64 a) 4) 0) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))) (fma.f64 1/6 (/.f64 (+.f64 -8 (*.f64 (exp.f64 a) -24)) (pow.f64 b 3)) (/.f64 2 b)))
(+.f64 (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 (/.f64 2 b) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (*.f64 b b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (exp.f64 a) 4) 0) (*.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 (/.f64 2 b) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))) (*.f64 -1/6 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 24 -16) (pow.f64 b 3)))))
(+.f64 (/.f64 2 b) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (exp.f64 a) 4) 0) (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 (exp.f64 a) 24) 8) (pow.f64 b 3)))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b 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 a (fma.f64 (*.f64 b 1/2) b b)))
(+.f64 (*.f64 b (fma.f64 b 1/2 1)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (fma.f64 (*.f64 b 1/2) b b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (*.f64 b (fma.f64 b 1/2 1)) (+.f64 2 a)))
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(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) (fma.f64 1/6 (pow.f64 a 3) (fma.f64 (*.f64 b 1/2) b 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))
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(*.f64 1/2 (pow.f64 b 2))
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(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
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(*.f64 1/2 (pow.f64 b 2))
(*.f64 b (*.f64 b 1/2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
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b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 b (*.f64 b 1/2))
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(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
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(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
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(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 b (*.f64 b 1/2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
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(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
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(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
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(-.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)) 3)) (log1p.f64 (*.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)) (+.f64 (fma.f64 (*.f64 b 1/2) b b) (expm1.f64 a)))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))) 3)) (log1p.f64 (*.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))) (+.f64 (*.f64 b (fma.f64 b 1/2 1)) (expm1.f64 a)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)) 2))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))) 2))) (log1p.f64 (neg.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))) 2))) (log1p.f64 (-.f64 (*.f64 b (*.f64 b -1/2)) (+.f64 b (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)))) (log.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)) 3)) (log1p.f64 (*.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)) (+.f64 (fma.f64 (*.f64 b 1/2) b b) (expm1.f64 a)))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))) 3)) (log1p.f64 (*.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))) (+.f64 (*.f64 b (fma.f64 b 1/2 1)) (expm1.f64 a)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)) 2))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))) 2))) (log1p.f64 (neg.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))) 2))) (log1p.f64 (-.f64 (*.f64 b (*.f64 b -1/2)) (+.f64 b (exp.f64 a)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
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(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
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(fabs.f64 (log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1)))))
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 1))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
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(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 0)
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(-.f64 (+.f64 1 (exp.f64 a)) (-.f64 1 (+.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
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(-.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)
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(*.f64 (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3))) (cbrt.f64 (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))) (pow.f64 (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) 1) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (+.f64 (*.f64 b b) (*.f64 -1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(/.f64 (*.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))) 1) (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))) (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 b b)) 1) (-.f64 (*.f64 b (*.f64 b 1/2)) b))
(/.f64 (+.f64 (*.f64 b b) (*.f64 -1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4)))) 1) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (+.f64 (*.f64 b b) (*.f64 -1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))) 1) (neg.f64 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))) (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4)))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b))) (sqrt.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 b 1/2) b b)) (/.f64 (sqrt.f64 (+.f64 b (*.f64 (*.f64 b b) -1/2))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -1/4 (pow.f64 b 4))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (sqrt.f64 (fma.f64 (*.f64 b b) -1/2 b))) (sqrt.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b))) (sqrt.f64 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))) (/.f64 (sqrt.f64 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))) (sqrt.f64 (fma.f64 (*.f64 b 1/2) b b))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (sqrt.f64 (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))) (sqrt.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)) (cbrt.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b 1/2) b b)) 2) (/.f64 (cbrt.f64 (+.f64 b (*.f64 (*.f64 b b) -1/2))) (cbrt.f64 (+.f64 (*.f64 b b) (*.f64 -1/4 (pow.f64 b 4))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))) 2) (cbrt.f64 (fma.f64 (*.f64 b b) -1/2 b))) (cbrt.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)) (cbrt.f64 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))) (/.f64 (cbrt.f64 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b 1/2) b b)) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3))) (cbrt.f64 (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))) (pow.f64 (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/4 (pow.f64 b 4)))) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b))))) (+.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))))
(/.f64 (-.f64 (pow.f64 b 4) (*.f64 1/16 (*.f64 (pow.f64 b 4) (pow.f64 b 4)))) (/.f64 (fma.f64 b b (*.f64 1/4 (pow.f64 b 4))) (/.f64 1 (+.f64 b (*.f64 (*.f64 b b) -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 4) (*.f64 -1/16 (pow.f64 b 8))) (fma.f64 (*.f64 b b) -1/2 b)) (fma.f64 1/4 (pow.f64 b 4) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 b 4) (*.f64 -1/16 (pow.f64 b 8))) (*.f64 (fma.f64 1/4 (pow.f64 b 4) (*.f64 b b)) (fma.f64 (*.f64 b b) -1/2 b)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (*.f64 1/4 (pow.f64 b 4)) 3)) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b))))) (+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/4 (pow.f64 b 4))) (*.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))))))
(/.f64 (-.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (*.f64 1/4 (pow.f64 b 4)) 3)) (/.f64 (+.f64 (pow.f64 b 4) (*.f64 (*.f64 1/4 (pow.f64 b 4)) (fma.f64 b b (*.f64 1/4 (pow.f64 b 4))))) (/.f64 1 (+.f64 b (*.f64 (*.f64 b b) -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 6) (*.f64 -1/64 (pow.f64 (*.f64 b b) 6))) (fma.f64 (*.f64 b b) -1/2 b)) (+.f64 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 8) (*.f64 1/4 (pow.f64 b 6)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 b b) 3) (*.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2))))) (-.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 b b) 3) (*.f64 1/64 (*.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (*.f64 b b) 3)))) (/.f64 (+.f64 (pow.f64 b 3) (*.f64 -1/8 (pow.f64 (*.f64 b b) 3))) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 6) (*.f64 -1/64 (pow.f64 (*.f64 b b) 6))) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2)))) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) -1/8)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) 3)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2))))) (+.f64 (pow.f64 (*.f64 b b) 3) (-.f64 (*.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))) (*.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))))))
(/.f64 (*.f64 (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))) (+.f64 (pow.f64 (pow.f64 b 3) 3) (*.f64 1/512 (pow.f64 (pow.f64 (*.f64 b b) 3) 3)))) (+.f64 (pow.f64 (*.f64 b b) 3) (*.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) (-.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) (pow.f64 b 3)))))
(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 b 6) 3) (*.f64 b (pow.f64 b 8))) (*.f64 (fma.f64 (*.f64 1/8 (pow.f64 b 6)) (-.f64 (*.f64 1/8 (pow.f64 b 6)) (pow.f64 b 3)) (pow.f64 b 6)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2)))))
(/.f64 (/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 b 6) 3) (*.f64 b (pow.f64 b 8))) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2)))) (fma.f64 (*.f64 1/8 (pow.f64 b 6)) (-.f64 (*.f64 1/8 (pow.f64 b 6)) (pow.f64 b 3)) (pow.f64 b 6)))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 2))
(fabs.f64 (*.f64 b (fma.f64 b 1/2 1)))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)) 1))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 1 b (*.f64 b (*.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) b)
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 (*.f64 b 1/2) b 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 (sqrt.f64 b) (sqrt.f64 b) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b 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 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) b)
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
0.5b
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
0.8b
(cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.7b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 36 to 10 computations (72.2% saved)

series20.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
a
@0
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
3.0ms
b
@0
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
2.0ms
a
@inf
(cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.0ms
a
@0
(cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.0ms
b
@0
(cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite94.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
878×*-commutative
782×unswap-sqr
526×swap-sqr
454×distribute-lft-in
444×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01242
124342
2274042
Stop Event
node limit
Counts
2 → 87
Calls
Call 1
Inputs
(cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
Outputs
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sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (+.f64 (exp.f64 b) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))

simplify127.0ms (0.7%)

Algorithm
egg-herbie
Rules
854×associate-*r*
660×associate-*l*
550×*-commutative
494×fma-def
292×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042812137
1128312137
2618812137
Stop Event
unsound
Counts
135 → 130
Calls
Call 1
Inputs
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/9) (/.f64 a (+.f64 1 (exp.f64 b))))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/9) (/.f64 a (+.f64 1 (exp.f64 b))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/9) (/.f64 a (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 1/6 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 5)) 1/9) (/.f64 (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 1 (exp.f64 b))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (pow.f64 b 2) (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (pow.f64 b 2) (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (-.f64 (*.f64 1/6 (-.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 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 5)) 1/9) (/.f64 (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 1 (exp.f64 a))))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3))))) (pow.f64 b 3)))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (exp.f64 b))))
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(*.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 3/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1)
(pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2/3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(+.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 0)
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))
(+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (neg.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (neg.f64 (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 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(+.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) -1)
(+.f64 (+.f64 0 (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 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2) 3))
(*.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(*.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) (*.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2)) (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2) 3) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6))) (*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 3/4))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (cbrt.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 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.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 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 2)) (-.f64 0 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)))) (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))) (+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))) (*.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 1))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 2))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 b) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))
Outputs
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/9) (/.f64 a (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1/18))) (/.f64 a (+.f64 1 (exp.f64 b)))) (cbrt.f64 (log1p.f64 (exp.f64 b))))
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(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6))) (*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 3/4))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3) 1/6))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (cbrt.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 (-.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (-.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.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 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 2)) (-.f64 0 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)))) (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))) (+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.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 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))) (*.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 2))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 b) (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))

eval592.0ms (3.4%)

Compiler

Compiled 29356 to 17520 computations (40.3% saved)

prune277.0ms (1.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1050131063
Fresh314
Picked101
Done314
Total1057151072
Error
0.6b
Counts
1072 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
31.2b
(/.f64 b (+.f64 2 (expm1.f64 a)))
32.2b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
29.3b
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1)
32.4b
(+.f64 (*.f64 1/2 b) (log.f64 2))
33.0b
(+.f64 (*.f64 1/2 a) (log.f64 2))
1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
23.4b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
31.7b
(log1p.f64 (exp.f64 b))
30.9b
(log1p.f64 (exp.f64 a))
32.5b
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
32.5b
(log.f64 (+.f64 2 b))
32.7b
(log.f64 2)
1.4b
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
30.9b
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
Compiler

Compiled 295 to 220 computations (25.4% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
0.0b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
0.0b
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)
1.0b
(cbrt.f64 (log1p.f64 (exp.f64 a)))
Compiler

Compiled 71 to 26 computations (63.4% saved)

series78.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
51.0ms
a
@-inf
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
15.0ms
a
@inf
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
4.0ms
a
@0
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
2.0ms
a
@0
(cbrt.f64 (log1p.f64 (exp.f64 a)))
1.0ms
a
@inf
(cbrt.f64 (log1p.f64 (exp.f64 a)))

rewrite81.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1736×add-sqr-sqrt
1714×*-un-lft-identity
1592×add-cube-cbrt
1572×add-cbrt-cube
194×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01168
121466
2232966
Stop Event
node limit
Counts
4 → 83
Calls
Call 1
Inputs
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2) (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))))))

simplify104.0ms (0.6%)

Algorithm
egg-herbie
Rules
1712×associate-+r+
1470×associate-+l+
1192×unswap-sqr
730×+-commutative
606×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03277981
19367693
235907609
Stop Event
node limit
Counts
131 → 157
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 a 3)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) a)))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) a))))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) a)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 2 (pow.f64 1 1/3))
(+.f64 (*.f64 a (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (pow.f64 2 (pow.f64 1 1/3)))
(+.f64 (*.f64 a (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) (*.f64 (pow.f64 a 2) (pow.f64 2 (pow.f64 1 1/3)))) (pow.f64 2 (pow.f64 1 1/3))))
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(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 3)
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 3) 1/3)
(pow.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 1) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 2))
(log.f64 (exp.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))
(cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
(log1p.f64 (expm1.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)))
(+.f64 (*.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a)) (cbrt.f64 (log.f64 2)))
(fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))))))
(+.f64 (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a) (*.f64 1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 a a)) (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))))))) (cbrt.f64 (log.f64 2)))
(+.f64 (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a) (cbrt.f64 (log.f64 2))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (*.f64 a a) (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))))))
(+.f64 (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a) (cbrt.f64 (log.f64 2))) (*.f64 1/3 (*.f64 (*.f64 a a) (*.f64 (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) a)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 a 3)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))))))))
(+.f64 (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a) (fma.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))) (pow.f64 a 3)) (*.f64 1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 a a)) (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))))))) (cbrt.f64 (log.f64 2)))
(+.f64 (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a) (cbrt.f64 (log.f64 2))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (*.f64 a a) (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))))) (*.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))
(+.f64 (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) a) (cbrt.f64 (log.f64 2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 (*.f64 a (*.f64 a (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))))) 1/3) (*.f64 (*.f64 (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (pow.f64 a 3)) -1/3))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 2) 2))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) a)))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) a))
(fma.f64 1/3 (*.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) a))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 (fma.f64 2/3 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (*.f64 a a) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) a)))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/3 (*.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (*.f64 (*.f64 a a) (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))) (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 a (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (*.f64 a (fma.f64 2/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))))))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) a)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 (fma.f64 2/3 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (*.f64 a a) (fma.f64 1/3 (*.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (*.f64 (pow.f64 a 3) (fma.f64 1/9 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))) (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))) (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (fma.f64 1/3 (*.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (*.f64 (pow.f64 a 3) (fma.f64 1/9 (*.f64 (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) -2/3)))))))
(+.f64 (fma.f64 1/3 (*.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2))) (*.f64 (*.f64 a a) (+.f64 (*.f64 (fma.f64 1/9 (*.f64 (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) -2/3))) a) (fma.f64 2/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 2 (pow.f64 1 1/3))
2
(+.f64 (*.f64 a (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (pow.f64 2 (pow.f64 1 1/3)))
(fma.f64 a (*.f64 2 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2)) 2)
(fma.f64 a (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1) 2)
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(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(+.f64 (exp.f64 a) 1)
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(*.f64 (pow.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 a) 1))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(pow.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (*.f64 2 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (+.f64 1 (pow.f64 (exp.f64 a) 2)) (exp.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(fabs.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) 1)
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(*.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 1)
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(*.f64 1 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(*.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2))
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2) (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 1)
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 2)
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))) 3)
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 3) 1/3)
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 1) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 2))
(fabs.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(log.f64 (exp.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 3))
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(expm1.f64 (log1p.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(log1p.f64 (expm1.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
(exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)))

localize3.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 b) (log.f64 2))
Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite63.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1848×add-sqr-sqrt
1824×*-un-lft-identity
1708×add-cube-cbrt
1692×add-cbrt-cube
182×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
118813
2228213
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (*.f64 1/2 b) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 b) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 b (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 b) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))) (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 1/2 (*.f64 b (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 b b))) (-.f64 (log.f64 2) (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 b (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 b) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))))))

simplify84.0ms (0.5%)

Algorithm
egg-herbie
Rules
1238×associate-*r*
1134×associate-/r*
1022×associate-*l*
686×associate-+r+
560×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0981074
12371044
2812976
34402976
Stop Event
node limit
Counts
40 → 45
Calls
Call 1
Inputs
(log.f64 2)
(*.f64 1/2 b)
(*.f64 1/2 b)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (*.f64 1/2 b) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 b) (log.f64 2))))
(*.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 b (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 b) (log.f64 2))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))) (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 1/2 (*.f64 b (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 b b))) (-.f64 (log.f64 2) (*.f64 1/2 b)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 b))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))
Outputs
(log.f64 2)
(*.f64 1/2 b)
(*.f64 1/2 b)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
(fma.f64 1/2 b (log.f64 2))
(-.f64 (/.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (*.f64 1/2 b) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 b) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(*.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(fma.f64 1/2 b (log.f64 2))
(*.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 b) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))) (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 1/2 (*.f64 b (log.f64 2))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 b b))) (-.f64 (log.f64 2) (*.f64 1/2 b)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)
(fma.f64 1/2 b (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))
(fma.f64 1/2 b (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
(fma.f64 1/2 b (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))
(fma.f64 1/2 b (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))
(fma.f64 1/2 b (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))
(fma.f64 1/2 b (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 1 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/4))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.5b
(log1p.f64 (exp.f64 b))
Compiler

Compiled 8 to 4 computations (50% saved)

series13.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite48.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1072×associate-*r*
840×add-sqr-sqrt
830×*-un-lft-identity
784×pow1
766×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1959
210639
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))))

simplify65.0ms (0.4%)

Algorithm
egg-herbie
Rules
1254×associate-*r*
1122×associate-*l*
822×associate-+l+
800×associate-+r+
796×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078536
1176532
2593532
33646502
46980502
Stop Event
node limit
Counts
36 → 43
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
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))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5/2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(log1p.f64 (exp.f64 b))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(log1p.f64 (exp.f64 b))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 4))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(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))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 b) 1))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 b (+.f64 1 (exp.f64 a)))
0.0b
(+.f64 1 (exp.f64 a))
0.0b
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
0.1b
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
Compiler

Compiled 53 to 25 computations (52.8% saved)

series45.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
23.0ms
a
@inf
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
18.0ms
a
@-inf
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms
a
@0
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms
b
@inf
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms
b
@0
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))

rewrite86.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1596×associate-*r/
1428×associate-*l/
928×associate-/r*
676×associate-/l*
254×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01366
126766
2328366
Stop Event
node limit
Counts
2 → 114
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (log1p.f64 (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (-.f64 (log1p.f64 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 0) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (-.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (log.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) 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simplify136.0ms (0.8%)

Algorithm
egg-herbie
Rules
948×associate-/r/
804×associate--l+
670×associate-+r-
652×associate-+l-
430×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043010872
1120210322
2554910322
Stop Event
node limit
Counts
162 → 226
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
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(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))
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(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
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(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) 1) (neg.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 (+.f64 1 (exp.f64 a)) b)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) 3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3)) (/.f64 1 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (+.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (*.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (sqrt.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 (cbrt.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (cbrt.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))) (-.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) 1) (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) 1)
(*.f64 1 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1))
Outputs
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(-.f64 (fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))
(log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))
(log1p.f64 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))))
(+.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a))))))
(+.f64 (log1p.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a))))))
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(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) 1)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 1 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1/3)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(fabs.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))

eval503.0ms (2.9%)

Compiler

Compiled 24121 to 16632 computations (31% saved)

prune148.0ms (0.9%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New7089717
Fresh369
Picked101
Done145
Total71319732
Error
0.6b
Counts
732 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
39.3b
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
31.2b
(/.f64 b (+.f64 2 (expm1.f64 a)))
32.2b
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
32.9b
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
32.4b
(+.f64 (*.f64 1/2 b) (log.f64 2))
33.0b
(+.f64 (*.f64 1/2 a) (log.f64 2))
1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))
23.4b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
56.4b
(*.f64 1/2 b)
31.7b
(log1p.f64 (exp.f64 b))
30.9b
(log1p.f64 (exp.f64 a))
32.5b
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
32.5b
(log.f64 (+.f64 2 b))
32.7b
(log.f64 2)
2.2b
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))
63.0b
(expm1.f64 (+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))
32.9b
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
16.2b
(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
30.9b
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
Compiler

Compiled 370 to 289 computations (21.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) 1)
0.0b
(/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))
0.0b
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
0.5b
(log1p.f64 (+.f64 (exp.f64 a) 1))
Compiler

Compiled 45 to 25 computations (44.4% saved)

series33.0ms (0.2%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
15.0ms
a
@inf
(log1p.f64 (+.f64 (exp.f64 a) 1))
13.0ms
a
@-inf
(log1p.f64 (+.f64 (exp.f64 a) 1))
3.0ms
a
@-inf
(/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))
0.0ms
a
@0
(log1p.f64 (+.f64 (exp.f64 a) 1))
0.0ms
a
@0
(/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))

rewrite99.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
952×associate-*r/
866×*-commutative
810×associate-/r*
688×associate-*l/
590×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
122154
2256754
Stop Event
node limit
Counts
4 → 307
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (exp.f64 a) 1))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (exp.f64 a) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 a) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 a) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (exp.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 a) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3 (exp.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a))) (neg.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) (cbrt.f64 (-.f64 -1 (exp.f64 a)))) (neg.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 a)) (+.f64 (pow.f64 (exp.f64 a) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) (+.f64 1 (pow.f64 (exp.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (-.f64 (pow.f64 (exp.f64 a) 3) 1)) (+.f64 1 (+.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (*.f64 (neg.f64 (expm1.f64 a)) (neg.f64 (expm1.f64 a))))) (-.f64 (pow.f64 (exp.f64 a) 2) (neg.f64 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) 3) (pow.f64 (neg.f64 (expm1.f64 a)) 3))) (+.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (*.f64 (neg.f64 (expm1.f64 a)) (-.f64 (neg.f64 (expm1.f64 a)) (pow.f64 (exp.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 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simplify153.0ms (0.9%)

Algorithm
egg-herbie
Rules
1332×associate-+l+
1316×associate-+r+
682×+-commutative
636×associate-*r*
514×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049411529
1138610629
2619510629
Stop Event
node limit
Counts
367 → 300
Calls
Call 1
Inputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) 2)))) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) 2)))
(*.f64 (log.f64 (+.f64 (exp.f64 a) 2)) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) 2)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) 2))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) 2)) 2))
(log.f64 (+.f64 (exp.f64 a) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) 2))))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) 2))))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 1 (neg.f64 (neg.f64 (exp.f64 a))))
(+.f64 (+.f64 (exp.f64 a) 1) 0)
(+.f64 (+.f64 (exp.f64 a) 2) -1)
(+.f64 2 (expm1.f64 a))
(+.f64 -1 (+.f64 (exp.f64 a) 2))
(+.f64 (neg.f64 (neg.f64 (exp.f64 a))) 1)
(-.f64 (+.f64 (exp.f64 a) 1) 0)
(-.f64 (+.f64 (exp.f64 a) 2) 1)
(-.f64 (+.f64 3 (exp.f64 a)) 2)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)) (/.f64 1 (expm1.f64 a)))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (/.f64 1 (expm1.f64 a)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a))) (neg.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) (cbrt.f64 (-.f64 -1 (exp.f64 a)))) (neg.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a)))))
(*.f64 -1 (-.f64 -1 (exp.f64 a)))
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(*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (expm1.f64 a)))
(*.f64 (/.f64 b (-.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) 1)) (+.f64 3 (exp.f64 a)))
(*.f64 (/.f64 b (-.f64 (pow.f64 (+.f64 (exp.f64 a) 2) 3) 1)) (+.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) (+.f64 3 (exp.f64 a))))
(*.f64 (/.f64 (neg.f64 b) (+.f64 (neg.f64 (pow.f64 (exp.f64 a) 2)) 1)) (expm1.f64 a))
(*.f64 (/.f64 (neg.f64 b) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (/.f64 b 1) (+.f64 (neg.f64 (pow.f64 (exp.f64 a) 2)) 1)) (neg.f64 (expm1.f64 a)))
(*.f64 (/.f64 (/.f64 b 1) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (/.f64 b 1) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (expm1.f64 a)))
(*.f64 (/.f64 (/.f64 b 1) (-.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) 1)) (+.f64 3 (exp.f64 a)))
(*.f64 (/.f64 (/.f64 b 1) (-.f64 (pow.f64 (+.f64 (exp.f64 a) 2) 3) 1)) (+.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) (+.f64 3 (exp.f64 a))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1))) (sqrt.f64 (expm1.f64 a)))
(*.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1))) (cbrt.f64 (expm1.f64 a)))
(pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)
(pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)
(neg.f64 (/.f64 b (-.f64 -1 (exp.f64 a))))
(neg.f64 (/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)))
(neg.f64 (*.f64 (/.f64 b (-.f64 -1 (exp.f64 a))) 1))
(neg.f64 (*.f64 b (/.f64 1 (-.f64 -1 (exp.f64 a)))))
(neg.f64 (*.f64 1 (/.f64 b (-.f64 -1 (exp.f64 a)))))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (+.f64 (exp.f64 a) 1) 0)
(-.f64 (+.f64 (exp.f64 a) 2) 1)
(-.f64 (+.f64 3 (exp.f64 a)) 2)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)) (/.f64 1 (expm1.f64 a)))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (/.f64 1 (expm1.f64 a)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a))) (neg.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) (cbrt.f64 (-.f64 -1 (exp.f64 a)))) (neg.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a)))))
(*.f64 -1 (-.f64 -1 (exp.f64 a)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (expm1.f64 a)) (+.f64 (pow.f64 (exp.f64 a) 2) -1))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) (+.f64 1 (pow.f64 (exp.f64 a) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (-.f64 (pow.f64 (exp.f64 a) 3) 1)) (+.f64 1 (+.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (*.f64 (neg.f64 (expm1.f64 a)) (neg.f64 (expm1.f64 a))))) (-.f64 (pow.f64 (exp.f64 a) 2) (neg.f64 (expm1.f64 a))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) 3) (pow.f64 (neg.f64 (expm1.f64 a)) 3))) (+.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (*.f64 (neg.f64 (expm1.f64 a)) (-.f64 (neg.f64 (expm1.f64 a)) (pow.f64 (exp.f64 a) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (+.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 2))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (sqrt.f64 (-.f64 -1 (exp.f64 a))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) (cbrt.f64 (-.f64 -1 (exp.f64 a))))) (cbrt.f64 (-.f64 -1 (exp.f64 a))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(/.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(/.f64 (+.f64 (exp.f64 a) 1) 1)
(/.f64 (+.f64 (exp.f64 a) 1) (/.f64 (expm1.f64 a) (expm1.f64 a)))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (expm1.f64 a))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (/.f64 1 (/.f64 1 (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (/.f64 (expm1.f64 a) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1))) (/.f64 (expm1.f64 a) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (exp.f64 a) 2)) 1) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (neg.f64 (expm1.f64 a)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) 1) (*.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 (pow.f64 (exp.f64 a) 3) 1)))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) 1) (+.f64 3 (exp.f64 a)))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) 1) (*.f64 1 (+.f64 3 (exp.f64 a))))
(/.f64 (-.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) 1) (*.f64 (expm1.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (*.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (-.f64 1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) 2) 3) 1) (+.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) (+.f64 3 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) 2) 3) 1) (*.f64 1 (+.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) (+.f64 3 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) 3) 1) (*.f64 (expm1.f64 a) (+.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (exp.f64 a) 2)))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (expm1.f64 a)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) 1)) (+.f64 3 (exp.f64 a)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) 2) 3) 1)) (+.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) (+.f64 3 (exp.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1))) (cbrt.f64 (expm1.f64 a)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (exp.f64 a) 2)) 1) 1) (neg.f64 (expm1.f64 a)))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) 1) (neg.f64 (expm1.f64 a)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) 1) 1) (+.f64 3 (exp.f64 a)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) 2) 3) 1) 1) (+.f64 (*.f64 (+.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) 2)) (+.f64 3 (exp.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (expm1.f64 a)))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) 1) (/.f64 1 (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) 3) 1) (/.f64 1 (expm1.f64 a))) (+.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) 1) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) (-.f64 (pow.f64 (exp.f64 a) 3) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) (+.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (-.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) 1) (expm1.f64 a))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (*.f64 (cbrt.f64 (expm1.f64 a)) (cbrt.f64 (expm1.f64 a)))) (cbrt.f64 (expm1.f64 a)))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 (exp.f64 a)) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) 1) (neg.f64 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (sqrt.f64 (neg.f64 (expm1.f64 a)))) (sqrt.f64 (neg.f64 (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (*.f64 (cbrt.f64 (neg.f64 (expm1.f64 a))) (cbrt.f64 (neg.f64 (expm1.f64 a))))) (cbrt.f64 (neg.f64 (expm1.f64 a))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (exp.f64 a) 2)) 1)) (expm1.f64 a))
(/.f64 (neg.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(neg.f64 (-.f64 -1 (exp.f64 a)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (neg.f64 (expm1.f64 a))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(expm1.f64 (log.f64 (+.f64 (exp.f64 a) 2)))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
Outputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(fma.f64 1/3 a (log.f64 3))
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3)))
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
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(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 (exp.f64 a) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(+.f64 (exp.f64 a) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(+.f64 (exp.f64 a) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(+.f64 (exp.f64 a) 1)
(neg.f64 (-.f64 -1 (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (neg.f64 (expm1.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)) (/.f64 1 (expm1.f64 a)))
(/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (expm1.f64 a))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(fabs.f64 (+.f64 (exp.f64 a) 1))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (exp.f64 a) 1)
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(+.f64 (exp.f64 a) 1)
(expm1.f64 (log.f64 (+.f64 (exp.f64 a) 2)))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 a))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(fma.f64 1 (exp.f64 a) 1)
(+.f64 (exp.f64 a) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 2 (expm1.f64 a))
0.0b
(expm1.f64 a)
0.0b
(/.f64 b (+.f64 2 (expm1.f64 a)))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series2.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
b
@inf
(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms
b
@0
(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms
a
@-inf
(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms
a
@inf
(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms
b
@-inf
(/.f64 b (+.f64 2 (expm1.f64 a)))

rewrite86.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
964×associate-*r/
860×*-commutative
756×associate-/r*
674×associate-*l/
572×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
119133
2247633
Stop Event
node limit
Counts
3 → 201
Calls
Call 1
Inputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(expm1.f64 a)
(+.f64 2 (expm1.f64 a))
Outputs
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(+.f64 (exp.f64 a) -3))))) (-.f64 8 (pow.f64 (expm1.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (+.f64 64 (*.f64 (pow.f64 (expm1.f64 a) 3) (-.f64 (pow.f64 (expm1.f64 a) 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 1) (-.f64 2 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (sqrt.f64 (-.f64 2 (expm1.f64 a)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) 1) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))) (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))) (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (-.f64 2 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (expm1.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -2 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (neg.f64 (-.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 -4 (neg.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (expm1.f64 a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2) (cbrt.f64 (expm1.f64 a)) 2)))))

simplify120.0ms (0.7%)

Algorithm
egg-herbie
Rules
1038×associate-+r+
820×associate-*r*
744×associate-*l*
682×+-commutative
570×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05067479
114187009
269216989
Stop Event
node limit
Counts
249 → 296
Calls
Call 1
Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
a
(+.f64 (*.f64 1/2 (pow.f64 a 2)) a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 a (*.f64 1/6 (pow.f64 a 3))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (*.f64 1/24 (pow.f64 a 4)) (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(-.f64 (exp.f64 a) 1)
(-.f64 (exp.f64 a) 1)
(-.f64 (exp.f64 a) 1)
(-.f64 (exp.f64 a) 1)
(-.f64 (exp.f64 a) 1)
(-.f64 (exp.f64 a) 1)
(-.f64 (exp.f64 a) 1)
(-.f64 (exp.f64 a) 1)
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (expm1.f64 a))))
(+.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (exp.f64 a))) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1))
(+.f64 (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(+.f64 (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4))
(+.f64 (*.f64 2 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (*.f64 (neg.f64 (expm1.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(+.f64 (*.f64 (-.f64 2 (exp.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (*.f64 1 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(+.f64 (*.f64 4 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (*.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))
(+.f64 (*.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (*.f64 4 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) 1)
(*.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(*.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))))
(*.f64 (-.f64 2 (expm1.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))))
(*.f64 (/.f64 1 (+.f64 2 (expm1.f64 a))) b)
(*.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))))
(*.f64 (neg.f64 b) (/.f64 1 (-.f64 -2 (expm1.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))) (sqrt.f64 b))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))) (/.f64 (sqrt.f64 b) 1))
(*.f64 (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))) (pow.f64 (cbrt.f64 b) 2))
(*.f64 (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) 1))
(*.f64 (/.f64 b 1) (/.f64 1 (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 b (cbrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 b (-.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 b (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(*.f64 (/.f64 1 (-.f64 -2 (expm1.f64 a))) (neg.f64 b))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 (/.f64 b 1) 1) (/.f64 1 (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 2 (expm1.f64 a))) (cbrt.f64 b))
(*.f64 (/.f64 b (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (neg.f64 (-.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 b (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 -4 (neg.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(*.f64 (/.f64 b (-.f64 (pow.f64 (expm1.f64 a) 2) 4)) (+.f64 (exp.f64 a) -3))
(*.f64 (/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(*.f64 (/.f64 (neg.f64 b) (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (neg.f64 b) (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 (/.f64 b 1) (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (neg.f64 (-.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 (/.f64 b 1) (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 -4 (neg.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(*.f64 (/.f64 (/.f64 b 1) (-.f64 (pow.f64 (expm1.f64 a) 2) 4)) (+.f64 (exp.f64 a) -3))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(*.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))) (*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))
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(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3))
(expm1.f64 (log.f64 (+.f64 3 (expm1.f64 a))))
(exp.f64 (log.f64 (+.f64 2 (expm1.f64 a))))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 a))))
(fma.f64 1 (expm1.f64 a) 2)
(fma.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2) (cbrt.f64 (expm1.f64 a)) 2)
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))
(fma.f64 b 1/2 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 b -1/48) 0))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
a
(+.f64 (*.f64 1/2 (pow.f64 a 2)) a)
(fma.f64 1/2 (*.f64 a a) a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 a (*.f64 1/6 (pow.f64 a 3))))
(+.f64 (fma.f64 1/2 (*.f64 a a) a) (*.f64 (pow.f64 a 3) 1/6))
(fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 3) 1/6 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (*.f64 1/24 (pow.f64 a 4)) (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (fma.f64 1/24 (pow.f64 a 4) (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(fma.f64 1/2 (*.f64 a a) (fma.f64 1/24 (pow.f64 a 4) (fma.f64 (pow.f64 a 3) 1/6 a)))
(-.f64 (exp.f64 a) 1)
(expm1.f64 a)
(-.f64 (exp.f64 a) 1)
(expm1.f64 a)
(-.f64 (exp.f64 a) 1)
(expm1.f64 a)
(-.f64 (exp.f64 a) 1)
(expm1.f64 a)
(-.f64 (exp.f64 a) 1)
(expm1.f64 a)
(-.f64 (exp.f64 a) 1)
(expm1.f64 a)
(-.f64 (exp.f64 a) 1)
(expm1.f64 a)
(-.f64 (exp.f64 a) 1)
(expm1.f64 a)
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 a 2) (*.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (expm1.f64 a))))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (+.f64 (exp.f64 a) -3) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(+.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (exp.f64 a))) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (+.f64 (exp.f64 a) -3) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(+.f64 (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(+.f64 (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(+.f64 (*.f64 2 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (*.f64 (neg.f64 (expm1.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (+.f64 (exp.f64 a) -3) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(+.f64 (*.f64 (-.f64 2 (exp.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (*.f64 1 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (+.f64 (exp.f64 a) -3) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(+.f64 (*.f64 4 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (*.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(+.f64 (*.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (*.f64 4 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (-.f64 2 (expm1.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (+.f64 (exp.f64 a) -3) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (/.f64 1 (+.f64 2 (expm1.f64 a))) b)
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(*.f64 (neg.f64 b) (/.f64 1 (-.f64 -2 (expm1.f64 a))))
(/.f64 (neg.f64 b) (-.f64 -2 (expm1.f64 a)))
(/.f64 (neg.f64 b) (-.f64 -1 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))) (sqrt.f64 b))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))) (/.f64 (sqrt.f64 b) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))) (pow.f64 (cbrt.f64 b) 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b 1) (/.f64 1 (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b (cbrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a)))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (+.f64 (exp.f64 a) -3) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 b (-.f64 2 (expm1.f64 a))))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (+.f64 (exp.f64 a) -3) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 b (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(*.f64 (/.f64 1 (-.f64 -2 (expm1.f64 a))) (neg.f64 b))
(/.f64 (neg.f64 b) (-.f64 -2 (expm1.f64 a)))
(/.f64 (neg.f64 b) (-.f64 -1 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 (/.f64 (/.f64 b 1) 1) (/.f64 1 (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 2 (expm1.f64 a))) (cbrt.f64 b))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (neg.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (+.f64 (exp.f64 a) -3) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (/.f64 b (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 -4 (neg.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(*.f64 (/.f64 b (-.f64 -8 (pow.f64 (expm1.f64 a) 3))) (-.f64 -4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (-.f64 -8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (neg.f64 (expm1.f64 a)) (+.f64 (exp.f64 a) -3) -4))
(/.f64 b (/.f64 (-.f64 -8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (-.f64 2 (expm1.f64 a)) -4)))
(*.f64 (/.f64 b (-.f64 (pow.f64 (expm1.f64 a) 2) 4)) (+.f64 (exp.f64 a) -3))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (+.f64 (exp.f64 a) -3) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(/.f64 b (+.f64 1 (exp.f64 a)))
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (/.f64 (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))
(/.f64 (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (/.f64 (cbrt.f64 (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (/.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (cbrt.f64 (-.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(/.f64 (*.f64 (-.f64 16 (*.f64 (expm1.f64 a) (pow.f64 (expm1.f64 a) 3))) (/.f64 1 (-.f64 2 (expm1.f64 a)))) (+.f64 (pow.f64 (expm1.f64 a) 2) 4))
(/.f64 (-.f64 16 (*.f64 (expm1.f64 a) (pow.f64 (expm1.f64 a) 3))) (*.f64 (-.f64 2 (expm1.f64 a)) (+.f64 4 (pow.f64 (expm1.f64 a) 2))))
(/.f64 (-.f64 16 (pow.f64 (expm1.f64 a) 4)) (*.f64 (-.f64 2 (expm1.f64 a)) (fma.f64 (expm1.f64 a) (expm1.f64 a) 4)))
(/.f64 (*.f64 (-.f64 64 (pow.f64 (pow.f64 (expm1.f64 a) 2) 3)) (/.f64 1 (-.f64 2 (expm1.f64 a)))) (+.f64 16 (*.f64 (pow.f64 (expm1.f64 a) 2) (+.f64 (pow.f64 (expm1.f64 a) 2) 4))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (pow.f64 (expm1.f64 a) 2) 3)) (-.f64 2 (expm1.f64 a))) (+.f64 16 (*.f64 (pow.f64 (expm1.f64 a) 2) (+.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (-.f64 64 (pow.f64 (expm1.f64 a) 6)) (*.f64 (-.f64 2 (expm1.f64 a)) (fma.f64 (pow.f64 (expm1.f64 a) 2) (fma.f64 (expm1.f64 a) (expm1.f64 a) 4) 16)))
(/.f64 (*.f64 (-.f64 64 (*.f64 (pow.f64 (expm1.f64 a) 3) (pow.f64 (expm1.f64 a) 3))) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (-.f64 8 (pow.f64 (expm1.f64 a) 3)))
(/.f64 (-.f64 64 (pow.f64 (expm1.f64 a) 6)) (*.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (-.f64 8 (pow.f64 (expm1.f64 a) 3))))
(/.f64 (-.f64 64 (pow.f64 (expm1.f64 a) 6)) (*.f64 (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4) (-.f64 8 (pow.f64 (expm1.f64 a) 3))))
(/.f64 (*.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (+.f64 64 (*.f64 (pow.f64 (expm1.f64 a) 3) (-.f64 (pow.f64 (expm1.f64 a) 3) 8))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (*.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (+.f64 64 (*.f64 (pow.f64 (expm1.f64 a) 3) (+.f64 (pow.f64 (expm1.f64 a) 3) -8)))))
(/.f64 (/.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (fma.f64 (pow.f64 (expm1.f64 a) 3) (+.f64 (pow.f64 (expm1.f64 a) 3) -8) 64)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 1) (-.f64 2 (expm1.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (sqrt.f64 (-.f64 2 (expm1.f64 a)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) 1) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))) (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))) (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (neg.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (-.f64 2 (expm1.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (neg.f64 (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(pow.f64 (+.f64 2 (expm1.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) 2)
(+.f64 1 (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 3)
(+.f64 1 (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3) 1/3)
(+.f64 1 (exp.f64 a))
(neg.f64 (-.f64 -2 (expm1.f64 a)))
(+.f64 1 (exp.f64 a))
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (neg.f64 (-.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(neg.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 -4 (neg.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))
(/.f64 (-.f64 -8 (pow.f64 (expm1.f64 a) 3)) (-.f64 -4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (-.f64 -8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (neg.f64 (expm1.f64 a)) (+.f64 (exp.f64 a) -3) -4))
(/.f64 (-.f64 -8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (-.f64 2 (expm1.f64 a)) -4))
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))
(fabs.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 1 (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (expm1.f64 a)))))
(+.f64 1 (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3))
(+.f64 1 (exp.f64 a))
(expm1.f64 (log.f64 (+.f64 3 (expm1.f64 a))))
(+.f64 1 (exp.f64 a))
(exp.f64 (log.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 1 (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 1 (exp.f64 a))
(fma.f64 1 (expm1.f64 a) 2)
(+.f64 1 (exp.f64 a))
(fma.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a)) 2)
(+.f64 1 (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2) (cbrt.f64 (expm1.f64 a)) 2)
(+.f64 1 (exp.f64 a))

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
0.1b
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
0.9b
(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
Compiler

Compiled 42 to 37 computations (11.9% saved)

series14.0ms (0.1%)

Counts
3 → 27
Calls

9 calls:

TimeVariablePointExpression
11.0ms
b
@0
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
1.0ms
b
@inf
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
1.0ms
b
@-inf
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
0.0ms
b
@0
(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
0.0ms
b
@inf
(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))

rewrite90.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1068×*-commutative
1018×associate-*r/
852×distribute-lft-in
812×distribute-rgt-in
690×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01367
126557
2327957
Stop Event
node limit
Counts
3 → 179
Calls
Call 1
Inputs
(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
Outputs
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((x sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (exp.f64 (fma.f64 1/2 b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 b (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1/2 (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 b)) 2) (cbrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))))))

simplify140.0ms (0.8%)

Algorithm
egg-herbie
Rules
1814×associate-*r/
586×fma-def
552×associate-*r*
552×associate-+l-
534×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051211384
114649720
262889608
Stop Event
node limit
Counts
206 → 317
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2))))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 1/2)))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 b 2))))))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2)))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 b 2))))))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 b 3))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 b 2)))))))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(-.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 1 (log.f64 2)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) b)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 2 (pow.f64 (+.f64 1 (log.f64 2)) 2))) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) (pow.f64 b 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 1 (log.f64 2)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) b)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 4/3 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (+.f64 (*.f64 8/3 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 -4 (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) (pow.f64 b 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 2 (pow.f64 (+.f64 1 (log.f64 2)) 2))) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) (pow.f64 b 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 1 (log.f64 2)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) b)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))))) 1)
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) (*.f64 2 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) (+.f64 1 (log.f64 2))) b))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) (+.f64 (*.f64 -2 (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 2 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 b 2)) (+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) (*.f64 2 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) (+.f64 1 (log.f64 2))) b)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) (+.f64 (*.f64 -2 (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 2 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 b 2)) (+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) (+.f64 1 (log.f64 2))) b)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) (+.f64 (*.f64 -8/3 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (+.f64 (*.f64 4 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 -4/3 (pow.f64 (+.f64 1 (log.f64 2)) 3))))) (pow.f64 b 3)))))) 1)
(+.f64 1 (log.f64 2))
(*.f64 1/2 b)
(*.f64 1/2 b)
(+.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 0)
(+.f64 0 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2))) (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 1))
(-.f64 (log.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (log.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (log.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (log.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (log.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))) 1)
(*.f64 1 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(*.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(pow.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (+.f64 1 (log.f64 2)) -1))
(+.f64 1 (+.f64 (log.f64 2) (-.f64 (*.f64 1/2 b) 1)))
(+.f64 1 (+.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) -1))
(+.f64 1 (+.f64 (*.f64 1/2 b) (-.f64 (log.f64 2) 1)))
(+.f64 1 (-.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (+.f64 (fma.f64 1/2 b 1) -1))
(+.f64 (+.f64 1 (log.f64 2)) (-.f64 (*.f64 1/2 b) 1))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 b) -1))
(+.f64 (+.f64 1 (log.f64 2)) (*.f64 1 (-.f64 (*.f64 1/2 b) 1)))
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(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) 1) (neg.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) 1) (neg.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (*.f64 b b) 1/4)) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (/.f64 1 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (+.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) 1/4) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) 3)) (/.f64 1 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (+.f64 (*.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (*.f64 b b) 1/4)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 b 3) 1/8) (*.f64 (pow.f64 b 3) 1/8)) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (/.f64 1 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (-.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 b 3) 1/8) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (+.f64 (*.f64 (*.f64 (pow.f64 b 3) 1/8) (*.f64 (pow.f64 b 3) 1/8)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (+.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2))))) (-.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2))
(log.f64 (*.f64 2 (exp.f64 (fma.f64 1/2 b 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(exp.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(fma.f64 1/2 b (+.f64 1 (log.f64 2)))
(fma.f64 b 1/2 (+.f64 1 (log.f64 2)))
(fma.f64 1 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
(fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 b)) 2) (cbrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))
Outputs
(log.f64 (+.f64 1 (log.f64 2)))
(log1p.f64 (log.f64 2))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))))
(+.f64 (log1p.f64 (log.f64 2)) (/.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(fma.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2))) (log1p.f64 (log.f64 2)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2))))))
(fma.f64 -1/8 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (+.f64 (log1p.f64 (log.f64 2)) (/.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(fma.f64 -1/8 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (fma.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2))) (log1p.f64 (log.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2)))))))
(fma.f64 1/24 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (fma.f64 -1/8 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (+.f64 (log1p.f64 (log.f64 2)) (/.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))))
(fma.f64 1/24 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (fma.f64 -1/8 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (fma.f64 1/2 (/.f64 b (+.f64 1 (log.f64 2))) (log1p.f64 (log.f64 2)))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 b))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 1/2)))
(fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (log.f64 b)))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 b 2))))))
(fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 b b)))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 b b)) (log.f64 1/2)) (fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (log.f64 b)))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (log.f64 1/2) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 b 2)))))))
(fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (fma.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 b 3)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 b b))))))
(fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 b b)) (log.f64 1/2)) (fma.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 b 3)) (log.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1/2))
(-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2)))
(fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1/2)))
(fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b))))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 b 2))))))
(fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1/2)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 b b)))))
(fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (-.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 b b)) (log.f64 -1/2)) (log.f64 (/.f64 -1 b))))
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 b 3))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 b 2)))))))
(fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1/2)) (fma.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 b 3)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 b b))))))
(+.f64 (fma.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 b)))) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 b b)) (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (/.f64 (pow.f64 b 3) 8/3))))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(-.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))) 1)
(expm1.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2)))
(fma.f64 1/2 (exp.f64 (log.f64 b)) -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 1 (log.f64 2)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) b)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) 1)
(+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) (/.f64 b (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2)))))) (expm1.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2))))
(fma.f64 2 (*.f64 (/.f64 (+.f64 1 (log.f64 2)) b) (*.f64 1/2 (exp.f64 (log.f64 b)))) (fma.f64 1/2 (exp.f64 (log.f64 b)) -1))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 2 (pow.f64 (+.f64 1 (log.f64 2)) 2))) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) (pow.f64 b 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 1 (log.f64 2)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) b)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b))))))) 1)
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) 0) (/.f64 (*.f64 b b) (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2))))) (+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) (/.f64 b (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2)))))) (expm1.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2)))))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (+.f64 1 (log.f64 2)) b) (*.f64 1/2 (exp.f64 (log.f64 b)))) (fma.f64 1/2 (exp.f64 (log.f64 b)) -1)) (/.f64 (*.f64 0 (exp.f64 (log.f64 b))) (*.f64 b b)))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 4/3 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (+.f64 (*.f64 8/3 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 -4 (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) (pow.f64 b 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 2 (pow.f64 (+.f64 1 (log.f64 2)) 2))) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) (pow.f64 b 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 1 (log.f64 2)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))) b)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 b)))))))) 1)
(+.f64 (/.f64 (fma.f64 4/3 (pow.f64 (+.f64 1 (log.f64 2)) 3) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) -4/3)) (/.f64 (pow.f64 b 3) (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2))))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) 0) (/.f64 (*.f64 b b) (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2))))) (+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) (/.f64 b (exp.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2)))))) (expm1.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (log.f64 1/2))))))
(+.f64 (+.f64 (fma.f64 2 (*.f64 (/.f64 (+.f64 1 (log.f64 2)) b) (*.f64 1/2 (exp.f64 (log.f64 b)))) (fma.f64 1/2 (exp.f64 (log.f64 b)) -1)) (/.f64 (*.f64 0 (exp.f64 (log.f64 b))) (*.f64 b b))) (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 0) (pow.f64 b 3)) (*.f64 1/2 (exp.f64 (log.f64 b)))))
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1/2))) 1)
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) 1/4) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) 3)) (/.f64 1 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (+.f64 (*.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (*.f64 b b) 1/4)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b (*.f64 b 1/4)) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) 3)) (-.f64 (fma.f64 1/2 b -1) (log.f64 2))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) 1/16) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (fma.f64 (*.f64 b b) 1/4 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 b 6) 1/64) (pow.f64 (+.f64 1 (log.f64 2)) 6)) (-.f64 (fma.f64 1/2 b -1) (log.f64 2))) (fma.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (fma.f64 b (*.f64 b 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (pow.f64 b 4) 1/16)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 b 3) 1/8) (*.f64 (pow.f64 b 3) 1/8)) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (/.f64 1 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (-.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 b 3) (pow.f64 b 3)) 1/64) (pow.f64 (+.f64 1 (log.f64 2)) 6)) (*.f64 (fma.f64 (*.f64 b b) 1/4 (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (+.f64 1 (*.f64 -1/2 b))))) (-.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 b 6) 1/64) (pow.f64 (+.f64 1 (log.f64 2)) 6)) (*.f64 (fma.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (+.f64 (*.f64 b -1/2) (log.f64 2))) (*.f64 b (*.f64 b 1/4))) (-.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 b 6) 1/64) (pow.f64 (+.f64 1 (log.f64 2)) 6)) (*.f64 (fma.f64 (+.f64 1 (log.f64 2)) (-.f64 (log.f64 2) (fma.f64 1/2 b -1)) (*.f64 b (*.f64 b 1/4))) (-.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 b 3) 1/8) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (+.f64 (*.f64 (*.f64 (pow.f64 b 3) 1/8) (*.f64 (pow.f64 b 3) 1/8)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 b 3) 1/8) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 3)) (*.f64 (fma.f64 (*.f64 b b) 1/4 (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (+.f64 1 (*.f64 -1/2 b))))) (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 b 3) (pow.f64 b 3)) 1/64) (pow.f64 (+.f64 1 (log.f64 2)) 6)) (*.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (+.f64 1 (log.f64 2)) 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 b 3) 3) 1/512 (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 3)) (*.f64 (fma.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (+.f64 (*.f64 b -1/2) (log.f64 2))) (*.f64 b (*.f64 b 1/4))) (+.f64 (fma.f64 (pow.f64 b 6) 1/64 (pow.f64 (+.f64 1 (log.f64 2)) 6)) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (*.f64 -1/8 (pow.f64 b 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 b 3) 3) 1/512 (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 3)) (*.f64 (fma.f64 (+.f64 1 (log.f64 2)) (-.f64 (log.f64 2) (fma.f64 1/2 b -1)) (*.f64 b (*.f64 b 1/4))) (+.f64 (fma.f64 (pow.f64 b 6) 1/64 (pow.f64 (+.f64 1 (log.f64 2)) 6)) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (*.f64 -1/8 (pow.f64 b 3))))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(-.f64 (/.f64 b (/.f64 (/.f64 (-.f64 (fma.f64 1/2 b -1) (log.f64 2)) 1/4) b)) (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (-.f64 (fma.f64 1/2 b -1) (log.f64 2))))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (-.f64 (fma.f64 1/2 b -1) (log.f64 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(-.f64 (/.f64 b (/.f64 (/.f64 (-.f64 (fma.f64 1/2 b -1) (log.f64 2)) 1/4) b)) (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (-.f64 (fma.f64 1/2 b -1) (log.f64 2))))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (-.f64 (fma.f64 1/2 b -1) (log.f64 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(-.f64 (/.f64 b (/.f64 (/.f64 (-.f64 (fma.f64 1/2 b -1) (log.f64 2)) 1/4) b)) (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (-.f64 (fma.f64 1/2 b -1) (log.f64 2))))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (-.f64 (fma.f64 1/2 b -1) (log.f64 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (+.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2))))) (-.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2)))))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2)))) (+.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2)))) (-.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (fma.f64 (*.f64 b b) 1/4 (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (+.f64 1 (*.f64 -1/2 b))))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (fma.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (+.f64 (*.f64 b -1/2) (log.f64 2))) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (fma.f64 (+.f64 1 (log.f64 2)) (-.f64 (log.f64 2) (fma.f64 1/2 b -1)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b))))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (fma.f64 (*.f64 b b) 1/4 (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (+.f64 1 (*.f64 -1/2 b))))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (fma.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (+.f64 (*.f64 b -1/2) (log.f64 2))) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (fma.f64 (+.f64 1 (log.f64 2)) (-.f64 (log.f64 2) (fma.f64 1/2 b -1)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (-.f64 1 (*.f64 1/2 b)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (fma.f64 (*.f64 b b) 1/4 (*.f64 (+.f64 1 (log.f64 2)) (+.f64 (log.f64 2) (+.f64 1 (*.f64 -1/2 b))))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (fma.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (+.f64 (*.f64 b -1/2) (log.f64 2))) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (+.f64 1 (log.f64 2)) 3)) (fma.f64 (+.f64 1 (log.f64 2)) (-.f64 (log.f64 2) (fma.f64 1/2 b -1)) (*.f64 b (*.f64 b 1/4))))
(pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 1)
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 3)
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3) 1/3)
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(pow.f64 (E.f64) (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))) (sqrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2))
(fabs.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))))
(log.f64 (*.f64 2 (exp.f64 (fma.f64 1/2 b 1))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(exp.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (+.f64 1 (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 b 1/2 (+.f64 1 (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 b))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 b)) 2) (cbrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 -1 (fma.f64 1/2 b 1))))
(+.f64 1 (fma.f64 1/2 b (log.f64 2)))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
Compiler

Compiled 25 to 20 computations (20% saved)

series3.0ms (0%)

Counts
1 → 1
Calls

3 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
1.0ms
b
@inf
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
1.0ms
b
@0
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))

rewrite56.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1836×add-sqr-sqrt
1816×*-un-lft-identity
1682×add-cube-cbrt
1666×add-cbrt-cube
200×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01117
121313
2232913
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 b) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 b (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 b) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 b) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/2) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))))))

simplify60.0ms (0.3%)

Algorithm
egg-herbie
Rules
1122×fma-def
1018×*-commutative
1014×associate-*r*
926×associate-/l*
812×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061397
1143387
2555387
33129383
46039383
Stop Event
node limit
Counts
23 → 30
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
(*.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 b (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 b) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 b) (log.f64 2)))))
(pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) b) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
(fma.f64 1/2 b (log.f64 2))
(*.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(fma.f64 1/2 b (log.f64 2))
(*.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 b) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 b) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 b) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 1/4 (*.f64 b b) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 1/4 (*.f64 b b))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 1/4 (*.f64 b b))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)
(fma.f64 1/2 b (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))
(fma.f64 1/2 b (log.f64 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) b) 2))
(fma.f64 1/2 b (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))
(fma.f64 1/2 b (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))
(fma.f64 1/2 b (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))
(fma.f64 1/2 b (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))

eval395.0ms (2.3%)

Compiler

Compiled 20510 to 14506 computations (29.3% saved)

prune198.0ms (1.1%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New93310943
Fresh5510
Picked011
Done268
Total94022962
Error
0.6b
Counts
962 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
39.3b
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
60.6b
(/.f64 b (+.f64 a 2))
31.2b
(/.f64 b (+.f64 2 (expm1.f64 a)))
32.9b
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (*.f64 1/2 b)))
32.9b
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
32.9b
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 2)
60.6b
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
32.4b
(+.f64 (*.f64 1/2 b) (log.f64 2))
33.0b
(+.f64 (*.f64 1/2 a) (log.f64 2))
60.6b
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
56.4b
(*.f64 1/2 b)
31.7b
(log1p.f64 (exp.f64 b))
30.9b
(log1p.f64 (exp.f64 a))
32.5b
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
32.5b
(log.f64 (+.f64 2 b))
32.7b
(log.f64 2)
32.4b
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 3))
63.5b
(expm1.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 1/2))))
32.4b
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
32.9b
(expm1.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))))
32.4b
(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
30.9b
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
Compiler

Compiled 216 to 186 computations (13.9% saved)

regimes66.0ms (0.4%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 a 2))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (*.f64 1/2 b)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(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)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 2)
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
(expm1.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))))
(expm1.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 1/2))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1)
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))
(expm1.f64 (+.f64 (log.f64 b) (-.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Calls

6 calls:

19.0ms
b
18.0ms
a
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
1.4b1a
1.4b1b
1.4b1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.4b1(+.f64 (exp.f64 a) (exp.f64 b))
1.4b1(exp.f64 a)
1.4b1(exp.f64 b)
Compiler

Compiled 421 to 273 computations (35.2% saved)

regimes39.0ms (0.2%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 a 2))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (*.f64 1/2 b)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(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)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Calls

6 calls:

11.0ms
b
10.0ms
a
4.0ms
(exp.f64 b)
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
ErrorSegmentsBranch
1.5b1a
1.5b1b
1.5b1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.5b1(+.f64 (exp.f64 a) (exp.f64 b))
1.5b1(exp.f64 a)
1.5b1(exp.f64 b)
Compiler

Compiled 174 to 121 computations (30.5% saved)

regimes73.0ms (0.4%)

Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 a 2))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (*.f64 1/2 b)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

6 calls:

33.0ms
b
18.0ms
a
5.0ms
(exp.f64 a)
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
ErrorSegmentsBranch
1.1b2a
20.7b4b
1.9b2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.9b2(+.f64 (exp.f64 a) (exp.f64 b))
1.1b2(exp.f64 a)
29.0b1(exp.f64 b)
Compiler

Compiled 150 to 102 computations (32% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.5902977066019976e-43
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes67.0ms (0.4%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 a 2))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (*.f64 1/2 b)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log1p.f64 (exp.f64 a))
Calls

4 calls:

39.0ms
b
17.0ms
a
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.6b2a
20.4b5b
1.6b2(exp.f64 a)
28.8b2(exp.f64 b)
Compiler

Compiled 129 to 89 computations (31% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.5902977066019976e-43
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes55.0ms (0.3%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 a 2))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (*.f64 1/2 b)))
Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
Calls

2 calls:

39.0ms
b
13.0ms
a
Results
ErrorSegmentsBranch
2.6b2a
20.7b7b
Compiler

Compiled 76 to 57 computations (25% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
-3.036459365385213
-0.0029315357184043827
Results
14.0ms128×body256valid
Compiler

Compiled 157 to 130 computations (17.2% saved)

regimes18.0ms (0.1%)

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

2 calls:

11.0ms
a
5.0ms
b
Results
ErrorSegmentsBranch
27.8b2a
32.4b1b
Compiler

Compiled 50 to 37 computations (26% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
-3.036459365385213
-0.0029315357184043827
Results
14.0ms128×body256valid
Compiler

Compiled 133 to 114 computations (14.3% saved)

regimes15.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 a 2))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(log.f64 2)
(log.f64 (+.f64 2 b))
Outputs
(*.f64 1/2 b)
(log.f64 (+.f64 2 b))
Calls

2 calls:

8.0ms
a
5.0ms
b
Results
ErrorSegmentsBranch
28.1b2a
32.5b1b
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
-1052.9913672157713
-98.54723776318185
Results
10.0ms71×body256valid
5.0ms19×body512valid
3.0msbody1024valid
Compiler

Compiled 91 to 76 computations (16.5% saved)

regimes13.0ms (0.1%)

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

2 calls:

8.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
28.2b2a
32.7b1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
-1052.9913672157713
-98.54723776318185
Results
9.0ms68×body256valid
5.0ms20×body512valid
4.0msbody1024valid
Compiler

Compiled 79 to 70 computations (11.4% saved)

regimes8.0ms (0%)

Accuracy

Total -4.7b remaining (-8.3%)

Threshold costs -4.7b (-8.3%)

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

2 calls:

4.0ms
b
3.0ms
a
Results
ErrorSegmentsBranch
56.4b1a
56.4b1b
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify8.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
045269
155269
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (*.f64 1/2 b) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -116) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -110) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (*.f64 a 1/2) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (*.f64 1/2 b) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (*.f64 b 1/2) (+.f64 (*.f64 a 1/2) (log.f64 2)))
(if (<=.f64 a -116) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -116) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -110) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -110) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)
Compiler

Compiled 117 to 87 computations (25.6% saved)

soundness314.0ms (1.8%)

Algorithm
egg-herbie
Rules
1090×fma-def
1090×fma-def
1090×fma-def
1004×unswap-sqr
1004×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02002618
14992362
219822350
377112350
063412365
1171311863
02002618
14992362
219822350
377112350
02002618
14992362
219822350
377112350
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 163 to 82 computations (49.7% saved)

end72.0ms (0.4%)

Compiler

Compiled 139 to 91 computations (34.5% saved)

Profiling

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