Details

Time bar (total: 2.1s)

analyze46.0ms (2.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
62.4%37.5%0.1%4
68.7%31.2%0.1%5
68.7%18.7%12.6%6
68.7%17.2%14.1%7
68.7%10.1%21.2%8
68.7%9%22.3%9
68.7%5.3%26%10
68.7%4.6%26.7%11
68.7%2.7%28.6%12
68.7%2.3%29%13
68.7%1.4%30%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample751.0ms (35.5%)

Results
737.0ms8256×body128valid
3.0ms39×body128invalid

preprocess16.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11026
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.8b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.8b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.8b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series8.0ms (0.4%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
a
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
b
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite47.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
854×pow1_binary64
793×log1p-expm1-u_binary64
793×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
78×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
114721
2211621
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (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) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log.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 (exp.f64 (+.f64 a a)) (-.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 (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 (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 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.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 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(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 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(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 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 (cbrt.f64 (exp.f64 (+.f64 a a))) (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))))) (#(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 exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))))))

simplify40.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
578×cancel-sign-sub-inv_binary64
398×fma-def_binary64
396×fma-neg_binary64
222×associate-+l+_binary64
188×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090686
1273662
2875638
33982638
Stop Event
1×node limit
Counts
86 → 98
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(+.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))))))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(-.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))) (*.f64 b (neg.f64 b)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))))
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (*.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -1/2 (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a)))) (pow.f64 b 3)))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b (-.f64 (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a)))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 b))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) 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 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 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 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a (fma.f64 a (*.f64 a 1/2) 1)))
(+.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 (+.f64 1 (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 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(+.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 (+.f64 1 (exp.f64 a)) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (fma.f64 1/6 (pow.f64 b 3) 1))
(+.f64 (exp.f64 a) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 1)))

prune172.0ms (8.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New95398
Fresh000
Picked101
Done000
Total96399
Error
0b
Counts
99 → 3
Alt Table
StatusErrorProgram
0.8b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
17.1b
(/.f64 (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)))))))
▶0.5b
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Compiler

Compiled 2056 to 972 computations (52.7% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.7b
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓2.5b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series116.0ms (5.5%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
44.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
30.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
24.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite49.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
905×log1p-expm1-u_binary64
905×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
91×*-un-lft-identity_binary64
91×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
116923
2242223
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
Outputs
((#(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 (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 (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 (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 (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 (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 (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 *.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 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(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 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(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 log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))) (#(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 +.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.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) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (/.f64 1 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (neg.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (neg.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) (+.f64 (*.f64 a a) (-.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))))))

simplify49.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
452×times-frac_binary64
386×fma-neg_binary64
358×fma-def_binary64
325×associate-*r*_binary64
314×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086781
1259766
2817752
34075752
Stop Event
1×node limit
Counts
82 → 93
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 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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))))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.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 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.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 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 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (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 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (/.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 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (fma.f64 (pow.f64 a 3) (*.f64 1/6 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (log1p.f64 (exp.f64 b)) (/.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 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (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 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/6 (pow.f64 b 3)) (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 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (neg.f64 (log1p.f64 (exp.f64 b))))
(+.f64 a (-.f64 (/.f64 (*.f64 -1 a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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)))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) -1/2)))
(-.f64 (fma.f64 (*.f64 -1/2 (*.f64 a a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))))) (log1p.f64 (exp.f64 b)))
(fma.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a -1/2)) (neg.f64 (log1p.f64 (exp.f64 b)))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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))))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.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))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) -1/2))))
(-.f64 (fma.f64 (*.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))))) -1/6 (fma.f64 (*.f64 -1/2 (*.f64 a a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b))))))) (log1p.f64 (exp.f64 b)))
(-.f64 (fma.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (pow.f64 a 3) -1/6) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a -1/2))))) (log1p.f64 (exp.f64 b)))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 a (-.f64 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(-.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(-.f64 (+.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 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 (-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(-.f64 (+.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 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 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 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))))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 (+.f64 (-.f64 (*.f64 (+.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)))) (*.f64 (pow.f64 b 3) -1/6)) (/.f64 b (+.f64 1 (exp.f64 a)))) (-.f64 a (log1p.f64 (exp.f64 a)))))
(-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (fma.f64 (pow.f64 b 3) (*.f64 (+.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)))) -1/6) (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))

prune151.0ms (7.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1402142
Fresh112
Picked101
Done000
Total1423145
Error
0b
Counts
145 → 3
Alt Table
StatusErrorProgram
0.8b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
▶0.5b
(exp.f64 (-.f64 a (log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))))
1.1b
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))
Compiler

Compiled 2904 to 1411 computations (51.4% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (exp.f64 b))
✓0.0b
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
✓0.7b
(-.f64 a (log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))
✓2.3b
(log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))

series39.0ms (1.8%)

Counts
4 → 76
Calls

21 calls:

TimeVariablePointExpression
9.0ms
a
@-inf
(log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))
9.0ms
b
@-inf
(log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))
8.0ms
a
@inf
(log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))
8.0ms
b
@inf
(log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))
1.0ms
b
@0
(log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))

rewrite57.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
834×log1p-expm1-u_binary64
834×expm1-log1p-u_binary64
93×add-sqr-sqrt_binary64
91×*-un-lft-identity_binary64
91×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
117936
2228636
Stop Event
1×node limit
Counts
4 → 103
Calls
Call 1
Inputs
(log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))
(-.f64 a (log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(sqrt.f64 (exp.f64 b))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 b)) (cbrt.f64 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (exp.f64 b))) (cbrt.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 b) 1/4) (pow.f64 (exp.f64 b) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 b) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 b) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 b) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 b) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 b) 1))))))

simplify36.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
550×fma-def_binary64
381×associate-*l*_binary64
367×associate-+l+_binary64
360×associate-*r*_binary64
303×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01151320
13361305
210521289
Stop Event
1×node limit
Counts
179 → 158
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 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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))))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.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 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.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 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 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
1
(+.f64 (*.f64 1/2 b) 1)
(+.f64 (*.f64 1/2 b) (+.f64 1 (*.f64 1/8 (pow.f64 b 2))))
(+.f64 (*.f64 1/2 b) (+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 1/48 (pow.f64 b 3)))))
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 (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 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 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 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 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))))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/6 (pow.f64 b 3)) (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)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 (*.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 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a 1/2)) (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 a 3)) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a 1/2)) (log1p.f64 (exp.f64 b))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(-.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (log1p.f64 (exp.f64 b)))
(+.f64 a (-.f64 (/.f64 (*.f64 -1 a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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)))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/2)))
(-.f64 (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 a a) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (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 (/.f64 (*.f64 -1 a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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))))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.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))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/2))))
(-.f64 (fma.f64 (*.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))))) -1/6 (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 a a) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2)))) (log1p.f64 (exp.f64 b)))
(fma.f64 (pow.f64 a 3) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/6) (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 (/.f64 (*.f64 -1 a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 a (-.f64 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(-.f64 (+.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 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 (-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(-.f64 (+.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 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 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 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))))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a)))
(+.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 a) (-.f64 (-.f64 (*.f64 (pow.f64 b 3) (*.f64 (+.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)))) -1/6)) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (-.f64 (fma.f64 (pow.f64 b 3) (*.f64 (+.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)))) -1/6) a) (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (+.f64 1 (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 1 (+.f64 (exp.f64 a) (*.f64 (fma.f64 b 1/2 1) b)))
(+.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 (+.f64 1 (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 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.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 a (exp.f64 b))))
(+.f64 (+.f64 a (exp.f64 b)) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 a (+.f64 (exp.f64 b) (fma.f64 a (*.f64 a 1/2) 1)))
(+.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 (+.f64 1 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 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a (fma.f64 a (*.f64 a 1/2) 1)))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
1
(+.f64 (*.f64 1/2 b) 1)
(fma.f64 1/2 b 1)
(fma.f64 b 1/2 1)
(+.f64 (*.f64 1/2 b) (+.f64 1 (*.f64 1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b 1) (*.f64 (*.f64 b b) 1/8))
(fma.f64 b 1/2 (fma.f64 (*.f64 b b) 1/8 1))
(fma.f64 b 1/2 (fma.f64 b (*.f64 b 1/8) 1))
(+.f64 (*.f64 1/2 b) (+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 1/48 (pow.f64 b 3)))))
(+.f64 (fma.f64 1/2 b 1) (fma.f64 1/8 (*.f64 b b) (*.f64 (pow.f64 b 3) 1/48)))
(+.f64 (fma.f64 (*.f64 b b) 1/8 (*.f64 (pow.f64 b 3) 1/48)) (fma.f64 b 1/2 1))
(fma.f64 b 1/2 (fma.f64 b (*.f64 b 1/8) (fma.f64 (pow.f64 b 3) 1/48 1)))

prune172.0ms (8.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1880188
Fresh022
Picked011
Done000
Total1883191
Error
0b
Counts
191 → 3
Alt Table
StatusErrorProgram
▶0.8b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
✓0.5b
(exp.f64 (-.f64 a (log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))))
1.1b
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))
Compiler

Compiled 3606 to 1723 computations (52.2% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.0b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
✓0.6b
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

series10.0ms (0.5%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
2.0ms
a
@0
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
1.0ms
a
@0
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
1.0ms
a
@inf
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
1.0ms
a
@-inf
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
1.0ms
b
@inf
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)

rewrite50.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
485×prod-diff_binary64
449×log-prod_binary64
184×fma-def_binary64
167×expm1-udef_binary64
167×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
118926
2257626
Stop Event
1×node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
Outputs
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(exp.f64 b)) (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) (pow.f64 (exp.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1) (pow.f64 (exp.f64 (neg.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3)))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.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 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (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 (/.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 2)) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (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 sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (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) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))))

simplify34.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
553×fma-def_binary64
276×distribute-rgt-in_binary64
255×distribute-lft-in_binary64
218×associate-*r*_binary64
206×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01151122
13721093
212901026
Stop Event
1×node limit
Counts
115 → 112
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 b))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))))) (exp.f64 b))))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))) (+.f64 1/3 (+.f64 (*.f64 -1/2 (exp.f64 b)) (*.f64 1/6 (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3)) (exp.f64 b)))))
(/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a))) (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 -1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (exp.f64 b)) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (*.f64 1/3 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (*.f64 (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b)))) (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 3))))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(+.f64 1 (exp.f64 b))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(fma.f64 -1 (*.f64 (exp.f64 b) a) (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) a))
(+.f64 1 (-.f64 (exp.f64 b) (*.f64 (exp.f64 b) a)))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))))) (exp.f64 b))))
(fma.f64 -1 (*.f64 (exp.f64 b) a) (+.f64 1 (fma.f64 (*.f64 a a) (-.f64 1/2 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b)))) (exp.f64 b))))
(+.f64 (fma.f64 (*.f64 a a) (-.f64 (-.f64 0 (*.f64 (exp.f64 b) 1/2)) (neg.f64 (exp.f64 b))) (exp.f64 b)) (fma.f64 (neg.f64 a) (exp.f64 b) 1))
(+.f64 (exp.f64 b) (-.f64 (fma.f64 (*.f64 a a) (-.f64 0 (*.f64 (exp.f64 b) -1/2)) 1) (*.f64 (exp.f64 b) a)))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))) (+.f64 1/3 (+.f64 (*.f64 -1/2 (exp.f64 b)) (*.f64 1/6 (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 -1 (*.f64 (exp.f64 b) a) (+.f64 1 (fma.f64 (*.f64 a a) (-.f64 1/2 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b)))) (fma.f64 (-.f64 (-.f64 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b))) 1/3) (fma.f64 -1/2 (exp.f64 b) (+.f64 1/6 (*.f64 1/6 (exp.f64 b))))) (pow.f64 a 3) (exp.f64 b)))))
(+.f64 (fma.f64 (*.f64 a a) (-.f64 (-.f64 0 (*.f64 (exp.f64 b) 1/2)) (neg.f64 (exp.f64 b))) (fma.f64 (-.f64 (+.f64 (-.f64 (+.f64 1/2 (*.f64 (exp.f64 b) 1/2)) (exp.f64 b)) -1/3) (fma.f64 (exp.f64 b) -1/2 (+.f64 1/6 (*.f64 (exp.f64 b) 1/6)))) (pow.f64 a 3) (exp.f64 b))) (fma.f64 (neg.f64 a) (exp.f64 b) 1))
(+.f64 1 (-.f64 (fma.f64 (*.f64 a a) (-.f64 0 (*.f64 (exp.f64 b) -1/2)) (fma.f64 (+.f64 (+.f64 1/2 (-.f64 (*.f64 (exp.f64 b) -1/2) (+.f64 1/6 (*.f64 (exp.f64 b) -1/3)))) -1/3) (pow.f64 a 3) (exp.f64 b))) (*.f64 (exp.f64 b) a)))
(/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a)))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (exp.f64 a)) (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(+.f64 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (exp.f64 a)) 1))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (exp.f64 a) b)) 1) (/.f64 b (exp.f64 a))) (exp.f64 (neg.f64 a)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a))) (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a))))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (exp.f64 a)) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a)) (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))))
(+.f64 (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a)) (/.f64 b (exp.f64 a)))) (fma.f64 1/2 (/.f64 (*.f64 b b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a)) (/.f64 b (exp.f64 a)))) (fma.f64 1/2 (/.f64 b (/.f64 (exp.f64 a) b)) 1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (*.f64 (exp.f64 b) a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b)))
(fma.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 (*.f64 (exp.f64 b) a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (fma.f64 (-.f64 (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b)) (fma.f64 (*.f64 a a) (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (*.f64 a (+.f64 (+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (fma.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 -1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (exp.f64 b)) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (*.f64 1/3 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (*.f64 (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b)))) (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 3))))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 (*.f64 (exp.f64 b) a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (fma.f64 (-.f64 (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (-.f64 (/.f64 (*.f64 (exp.f64 b) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))) (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.f64 1/3 (+.f64 1 (exp.f64 b))) (/.f64 (-.f64 1/2 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (exp.f64 b)))))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b)) (fma.f64 (*.f64 a a) (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (fma.f64 (pow.f64 a 3) (-.f64 (fma.f64 -1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (-.f64 (+.f64 (/.f64 1/3 (+.f64 1 (exp.f64 b))) (/.f64 (-.f64 (-.f64 0 (*.f64 (exp.f64 b) 1/2)) (neg.f64 (exp.f64 b))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (exp.f64 b)))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (/.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b) (fma.f64 a (*.f64 a (+.f64 (+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (fma.f64 (pow.f64 a 3) (+.f64 (fma.f64 -1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (*.f64 (/.f64 (exp.f64 b) (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1/3 (+.f64 1 (exp.f64 b))) (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.f64 (-.f64 0 (*.f64 (exp.f64 b) -1/2)) (+.f64 1 (exp.f64 b))) -1))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(fma.f64 -1 (*.f64 (*.f64 b b) (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (*.f64 b b) (-.f64 (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (*.f64 (*.f64 b b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(fma.f64 -1 (*.f64 (pow.f64 b 3) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (fma.f64 -1 (*.f64 (*.f64 b b) (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))))
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (*.f64 b b) (-.f64 (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 (pow.f64 b 3) (-.f64 (fma.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 -1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 (-.f64 (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a))))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (*.f64 b b) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (+.f64 1 (exp.f64 a)))) b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

prune155.0ms (7.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done011
Total1613164
Error
0b
Counts
164 → 3
Alt Table
StatusErrorProgram
✓0.8b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
✓0.5b
(exp.f64 (-.f64 a (log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))))
1.1b
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))
Compiler

Compiled 3380 to 1512 computations (55.3% saved)

regimes63.0ms (3%)

Accuracy

Total -55.6b remaining (-10949.9%)

Threshold costs -55.6b (-10949.9%)

Counts
34 → 1
Compiler

Compiled 472 to 241 computations (48.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×sub-neg_binary64
1×*-commutative_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
11222
21722
31922
42022
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 a (log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))))
Outputs
(exp.f64 (-.f64 a (log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))))

end16.0ms (0.8%)

Stop Event
1×fuel
Compiler

Compiled 30 to 18 computations (40% saved)

Profiling

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