Details

Time bar (total: 2.8s)

analyze45.0ms (1.6%)

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)

sample830.0ms (29.8%)

Results
811.0ms8256×body128valid
3.0ms32×body128invalid
Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess16.0ms (0.6%)

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 (0.2%)

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
1.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶1.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 30 to 18 computations (40% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓1.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series8.0ms (0.3%)

Counts
2 → 16
Calls

12 calls:

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

rewrite51.0ms (1.8%)

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 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 log1p.f64 (expm1.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) (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 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))))) (#(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 log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))

simplify40.0ms (1.4%)

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)))

prune123.0ms (4.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New94498
Fresh000
Picked101
Done000
Total95499
Error
0.4b
Counts
99 → 4
Alt Table
StatusErrorProgram
24.3b
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
16.4b
(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))))))
11.5b
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶1.3b
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
Compiler

Compiled 2266 to 1128 computations (50.2% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.2b
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
✓0.3b
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
1.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series14.0ms (0.5%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
3.0ms
b
@0
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
3.0ms
a
@0
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
2.0ms
a
@inf
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
1.0ms
a
@0
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
1.0ms
b
@0
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite55.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
485×prod-diff_binary64
446×log-prod_binary64
192×fma-def_binary64
168×expm1-udef_binary64
168×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
121328
2257128
Stop Event
1×node limit
Counts
2 → 84
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
Outputs
((#(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 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simplify50.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
883×fma-def_binary64
860×distribute-rgt-in_binary64
142×cancel-sign-sub-inv_binary64
101×associate-*r*_binary64
88×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01382179
14582130
217811980
Stop Event
1×node limit
Counts
116 → 113
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 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.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 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.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 (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 (+.f64 (*.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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 (+.f64 (*.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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 -1 (+.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 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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))))))))))))
(/.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)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (*.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 a 3) (-.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 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 1 (exp.f64 b))))) (*.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))))))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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))))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))))
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 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.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 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (/.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 (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 1/2)) 2) (/.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 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 a a) (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 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.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 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (/.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 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (/.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 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.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 (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 1/2)) 2) (/.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 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 a a) (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 (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 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))))
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(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 a 3) (-.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 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 1 (exp.f64 b))))) (*.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))))))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))))
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(fma.f64 1/2 (*.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (fma.f64 1/2 (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (pow.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 1/2)) 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))))) (*.f64 (pow.f64 a 3) (sqrt.f64 (+.f64 1 (exp.f64 b))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.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 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (pow.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 1/2)) 2))))))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 1/2 (*.f64 a (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) a)))) (*.f64 (*.f64 1/2 (pow.f64 a 3)) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (fma.f64 1/2 (+.f64 (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.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)))))))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(fma.f64 -1/2 (*.f64 b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(fma.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 -1/2 b) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/2 (*.f64 b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 b b))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/2 (*.f64 b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 -1/2 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (-.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 b b) (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/2 (*.f64 b (+.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 (*.f64 (fma.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))) (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)))) b))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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))))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))))
(fma.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.f64 1 (exp.f64 a))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (+.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 -1/2 (*.f64 b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 b b))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))))
(fma.f64 -1/2 (*.f64 (-.f64 (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (-.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))) (fma.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 (exp.f64 a) -1/2) (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 (pow.f64 b 3) (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))))) (fma.f64 -1/2 (*.f64 b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 -1/2 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (-.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 b b) (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))))
(fma.f64 -1/2 (*.f64 (pow.f64 b 3) (*.f64 (-.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.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))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6))) (/.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)))) (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))))) (fma.f64 -1/2 (*.f64 b (+.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 (*.f64 (fma.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))) (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)))) b))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))

prune209.0ms (7.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2092211
Fresh213
Picked101
Done000
Total2123215
Error
0.4b
Counts
215 → 3
Alt Table
StatusErrorProgram
24.3b
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
11.8b
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)
▶1.0b
(/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
Compiler

Compiled 6208 to 3333 computations (46.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(cbrt.f64 (exp.f64 (+.f64 a a)))
✓0.0b
(cbrt.f64 (exp.f64 a))
✓0.7b
(/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
✓0.9b
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a)))

series41.0ms (1.5%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
8.0ms
b
@inf
(/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
6.0ms
a
@-inf
(/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
5.0ms
a
@inf
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a)))
3.0ms
a
@inf
(/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
3.0ms
a
@-inf
(cbrt.f64 (exp.f64 a))

rewrite70.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
842×prod-diff_binary64
132×add-sqr-sqrt_binary64
129×*-un-lft-identity_binary64
129×pow1_binary64
124×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01253
125541
2376941
Stop Event
1×node limit
Counts
4 → 125
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a)))
(/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
(cbrt.f64 (exp.f64 a))
(cbrt.f64 (exp.f64 (+.f64 a a)))
Outputs
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(#(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 -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 a) 1/6) (pow.f64 (exp.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (exp.f64 a) (cbrt.f64 (exp.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) 1/3) (pow.f64 (sqrt.f64 (exp.f64 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 a) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 a) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 2) (cbrt.f64 (*.f64 (exp.f64 a) (cbrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 a) (cbrt.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (exp.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 a) 1/6) (*.f64 (pow.f64 (exp.f64 a) 1/6) (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 a) (cbrt.f64 (exp.f64 a))) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 a) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 a) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (exp.f64 a) (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 a a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 a a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)))))))

simplify44.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
703×fma-def_binary64
425×associate-*l*_binary64
388×associate-*r*_binary64
357×associate-+l+_binary64
213×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01441683
14431492
213241438
Stop Event
1×node limit
Counts
197 → 177
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 b))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/3 (+.f64 1 (exp.f64 b)))) a) (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/3 (+.f64 1 (exp.f64 b)))) a) (+.f64 1 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/18 (+.f64 1 (exp.f64 b)))) (pow.f64 a 2)) (exp.f64 b))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/3 (+.f64 1 (exp.f64 b)))) a) (+.f64 1 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/18 (+.f64 1 (exp.f64 b)))) (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/162 (+.f64 1 (exp.f64 b))) 1/18)) (exp.f64 b)))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3)) (*.f64 (pow.f64 (/.f64 1 (exp.f64 a)) 1/3) b))
(+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (exp.f64 a)) 1/3) b) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (exp.f64 a)) 1/3) (pow.f64 b 2)))))
(+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (exp.f64 a)) 1/3) b) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (exp.f64 a)) 1/3) (pow.f64 b 3))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (exp.f64 a)) 1/3) (pow.f64 b 2))))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(/.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 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 7/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.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 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) (pow.f64 b 3)) (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3)) (+.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3)))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
1
(+.f64 1 (*.f64 1/3 a))
(+.f64 (*.f64 1/18 (pow.f64 a 2)) (+.f64 1 (*.f64 1/3 a)))
(+.f64 (*.f64 1/18 (pow.f64 a 2)) (+.f64 1 (+.f64 (*.f64 1/3 a) (*.f64 1/162 (pow.f64 a 3)))))
(pow.f64 (exp.f64 a) 1/3)
(pow.f64 (exp.f64 a) 1/3)
(pow.f64 (exp.f64 a) 1/3)
(pow.f64 (exp.f64 a) 1/3)
(pow.f64 (exp.f64 a) 1/3)
(pow.f64 (exp.f64 a) 1/3)
(pow.f64 (exp.f64 a) 1/3)
(pow.f64 (exp.f64 a) 1/3)
1
(+.f64 1 (*.f64 2/3 a))
(+.f64 1 (+.f64 (*.f64 2/3 a) (*.f64 2/9 (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 2/3 a) (+.f64 (*.f64 2/9 (pow.f64 a 2)) (*.f64 4/81 (pow.f64 a 3)))))
(pow.f64 (exp.f64 (*.f64 2 a)) 1/3)
(pow.f64 (exp.f64 (*.f64 2 a)) 1/3)
(pow.f64 (exp.f64 (*.f64 2 a)) 1/3)
(pow.f64 (exp.f64 (*.f64 2 a)) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1/3)
(pow.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1/3)
Outputs
(+.f64 1 (exp.f64 b))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/3 (+.f64 1 (exp.f64 b)))) a) (+.f64 1 (exp.f64 b)))
(fma.f64 (+.f64 1 (*.f64 (+.f64 1 (exp.f64 b)) -1/3)) a (+.f64 1 (exp.f64 b)))
(fma.f64 (+.f64 2/3 (*.f64 (exp.f64 b) -1/3)) a (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/3 (+.f64 1 (exp.f64 b)))) a) (+.f64 1 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/18 (+.f64 1 (exp.f64 b)))) (pow.f64 a 2)) (exp.f64 b))))
(fma.f64 (+.f64 1 (*.f64 (+.f64 1 (exp.f64 b)) -1/3)) a (+.f64 1 (fma.f64 (+.f64 1/6 (+.f64 1/18 (*.f64 (exp.f64 b) 1/18))) (*.f64 a a) (exp.f64 b))))
(+.f64 (fma.f64 (+.f64 2/9 (*.f64 (exp.f64 b) 1/18)) (*.f64 a a) (exp.f64 b)) (fma.f64 (+.f64 2/3 (*.f64 (exp.f64 b) -1/3)) a 1))
(+.f64 1 (fma.f64 (+.f64 2/3 (*.f64 (exp.f64 b) -1/3)) a (fma.f64 a (*.f64 a (+.f64 2/9 (*.f64 (exp.f64 b) 1/18))) (exp.f64 b))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/3 (+.f64 1 (exp.f64 b)))) a) (+.f64 1 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/18 (+.f64 1 (exp.f64 b)))) (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/162 (+.f64 1 (exp.f64 b))) 1/18)) (exp.f64 b)))))
(fma.f64 (+.f64 1 (*.f64 (+.f64 1 (exp.f64 b)) -1/3)) a (+.f64 1 (fma.f64 (+.f64 1/6 (+.f64 1/18 (*.f64 (exp.f64 b) 1/18))) (*.f64 a a) (fma.f64 (pow.f64 a 3) (fma.f64 -1/162 (+.f64 1 (exp.f64 b)) 1/18) (exp.f64 b)))))
(+.f64 (fma.f64 (+.f64 2/9 (*.f64 (exp.f64 b) 1/18)) (*.f64 a a) (fma.f64 (pow.f64 a 3) (+.f64 4/81 (*.f64 (exp.f64 b) -1/162)) (exp.f64 b))) (fma.f64 (+.f64 2/3 (*.f64 (exp.f64 b) -1/3)) a 1))
(+.f64 1 (fma.f64 (+.f64 2/3 (*.f64 (exp.f64 b) -1/3)) a (fma.f64 a (*.f64 a (+.f64 2/9 (*.f64 (exp.f64 b) 1/18))) (fma.f64 (pow.f64 a 3) (+.f64 4/81 (*.f64 (exp.f64 b) -1/162)) (exp.f64 b)))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (cbrt.f64 (exp.f64 (neg.f64 a))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (/.f64 1 (exp.f64 a)) 1/3))
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(*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (+.f64 1 (exp.f64 a)))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) (pow.f64 b 3)) (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3)) (+.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3)))))
(fma.f64 -1 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (fma.f64 (*.f64 (pow.f64 b 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4))))) (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (fma.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (*.f64 (*.f64 b b) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (/.f64 1 (+.f64 1 (exp.f64 a)))))))
(+.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 3 a))) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4))))) (*.f64 (*.f64 b b) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (-.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 3 a))) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (cbrt.f64 (exp.f64 (*.f64 3 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 -1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 4))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cbrt.f64 (exp.f64 (*.f64 3 a))) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cbrt.f64 (exp.f64 (*.f64 3 a))) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cbrt.f64 (exp.f64 (*.f64 3 a))) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cbrt.f64 (exp.f64 (*.f64 3 a))) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cbrt.f64 (exp.f64 (*.f64 3 a))) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cbrt.f64 (exp.f64 (*.f64 3 a))) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cbrt.f64 (exp.f64 (*.f64 3 a))) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 2 a)) (exp.f64 a)) 1/3) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 a 2) a))) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cbrt.f64 (exp.f64 (*.f64 3 a))) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 3)) (+.f64 (exp.f64 b) (exp.f64 a)))
1
(+.f64 1 (*.f64 1/3 a))
(+.f64 1 (*.f64 a 1/3))
(fma.f64 a 1/3 1)
(+.f64 (*.f64 1/18 (pow.f64 a 2)) (+.f64 1 (*.f64 1/3 a)))
(fma.f64 1/18 (*.f64 a a) (+.f64 1 (*.f64 a 1/3)))
(fma.f64 1/18 (*.f64 a a) (fma.f64 a 1/3 1))
(fma.f64 a 1/3 (fma.f64 1/18 (*.f64 a a) 1))
(+.f64 (*.f64 1/18 (pow.f64 a 2)) (+.f64 1 (+.f64 (*.f64 1/3 a) (*.f64 1/162 (pow.f64 a 3)))))
(fma.f64 1/18 (*.f64 a a) (+.f64 1 (fma.f64 1/3 a (*.f64 (pow.f64 a 3) 1/162))))
(+.f64 (fma.f64 1/18 (*.f64 a a) (fma.f64 a 1/3 1)) (*.f64 (pow.f64 a 3) 1/162))
(fma.f64 a (*.f64 a 1/18) (fma.f64 a 1/3 (fma.f64 (pow.f64 a 3) 1/162 1)))
(pow.f64 (exp.f64 a) 1/3)
(cbrt.f64 (exp.f64 a))
(pow.f64 (exp.f64 a) 1/3)
(cbrt.f64 (exp.f64 a))
(pow.f64 (exp.f64 a) 1/3)
(cbrt.f64 (exp.f64 a))
(pow.f64 (exp.f64 a) 1/3)
(cbrt.f64 (exp.f64 a))
(pow.f64 (exp.f64 a) 1/3)
(cbrt.f64 (exp.f64 a))
(pow.f64 (exp.f64 a) 1/3)
(cbrt.f64 (exp.f64 a))
(pow.f64 (exp.f64 a) 1/3)
(cbrt.f64 (exp.f64 a))
(pow.f64 (exp.f64 a) 1/3)
(cbrt.f64 (exp.f64 a))
1
(+.f64 1 (*.f64 2/3 a))
(+.f64 1 (*.f64 a 2/3))
(fma.f64 a 2/3 1)
(+.f64 1 (+.f64 (*.f64 2/3 a) (*.f64 2/9 (pow.f64 a 2))))
(+.f64 1 (fma.f64 2/3 a (*.f64 (*.f64 a a) 2/9)))
(+.f64 1 (fma.f64 a 2/3 (*.f64 a (*.f64 a 2/9))))
(fma.f64 a 2/3 (fma.f64 a (*.f64 a 2/9) 1))
(+.f64 1 (+.f64 (*.f64 2/3 a) (+.f64 (*.f64 2/9 (pow.f64 a 2)) (*.f64 4/81 (pow.f64 a 3)))))
(+.f64 1 (fma.f64 2/3 a (fma.f64 2/9 (*.f64 a a) (*.f64 (pow.f64 a 3) 4/81))))
(+.f64 (fma.f64 a 2/3 1) (fma.f64 (pow.f64 a 3) 4/81 (*.f64 a (*.f64 a 2/9))))
(+.f64 1 (fma.f64 a 2/3 (*.f64 (*.f64 a a) (+.f64 2/9 (*.f64 4/81 a)))))
(pow.f64 (exp.f64 (*.f64 2 a)) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) a))
(cbrt.f64 (pow.f64 (exp.f64 a) 2))
(pow.f64 (exp.f64 (*.f64 2 a)) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) a))
(cbrt.f64 (pow.f64 (exp.f64 a) 2))
(pow.f64 (exp.f64 (*.f64 2 a)) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) a))
(cbrt.f64 (pow.f64 (exp.f64 a) 2))
(pow.f64 (exp.f64 (*.f64 2 a)) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) a))
(cbrt.f64 (pow.f64 (exp.f64 a) 2))
(pow.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) a))
(cbrt.f64 (pow.f64 (exp.f64 a) 2))
(pow.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) a))
(cbrt.f64 (pow.f64 (exp.f64 a) 2))
(pow.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) a))
(cbrt.f64 (pow.f64 (exp.f64 a) 2))
(pow.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) a))
(cbrt.f64 (pow.f64 (exp.f64 a) 2))

prune153.0ms (5.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1770177
Fresh022
Picked011
Done000
Total1773180
Error
0.4b
Counts
180 → 3
Alt Table
StatusErrorProgram
24.3b
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
▶11.8b
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)
✓1.0b
(/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
Compiler

Compiled 4015 to 1569 computations (60.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (exp.f64 b))
✓0.0b
(/.f64 1 (+.f64 1 (exp.f64 b)))
✓0.2b
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
✓0.5b
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)

series7.0ms (0.2%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
2.0ms
b
@0
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)
1.0ms
b
@inf
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)
1.0ms
b
@-inf
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)
0.0ms
b
@0
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
0.0ms
b
@0
(/.f64 1 (+.f64 1 (exp.f64 b)))

rewrite49.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
733×pow1_binary64
683×log1p-expm1-u_binary64
683×expm1-log1p-u_binary64
81×add-sqr-sqrt_binary64
77×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0935
119033
2200733
Stop Event
1×node limit
Counts
4 → 123
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 -1 (neg.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))))

simplify25.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
436×times-frac_binary64
379×associate-/l*_binary64
335×associate-/r*_binary64
287×fma-def_binary64
231×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077381
1212256
2703250
32376242
Stop Event
1×node limit
Counts
147 → 124
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 1/2) 2)
(+.f64 (*.f64 -1/4 b) (pow.f64 (sqrt.f64 1/2) 2))
(+.f64 (*.f64 (-.f64 (+.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 b 3)) (+.f64 (*.f64 -1/4 b) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (*.f64 (+.f64 (*.f64 1/16384 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (+.f64 (*.f64 -1/8 (/.f64 (-.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 -1 (+.f64 (*.f64 -1/8 (/.f64 (-.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 (/.f64 -1/128 (pow.f64 (sqrt.f64 1/2) 3)) 2))))) (pow.f64 b 4)) (+.f64 (*.f64 (-.f64 (+.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 b 3)) (+.f64 (*.f64 -1/4 b) (pow.f64 (sqrt.f64 1/2) 2))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 b (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 b (sqrt.f64 1/2))) (*.f64 -1/128 (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 b (sqrt.f64 1/2))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 b 3)) (sqrt.f64 1/2))))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
Outputs
(pow.f64 (sqrt.f64 1/2) 2)
1/2
(+.f64 (*.f64 -1/4 b) (pow.f64 (sqrt.f64 1/2) 2))
(fma.f64 -1/4 b (pow.f64 (sqrt.f64 1/2) 2))
(fma.f64 -1/4 b 1/2)
(+.f64 (*.f64 (-.f64 (+.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 b 3)) (+.f64 (*.f64 -1/4 b) (pow.f64 (sqrt.f64 1/2) 2)))
(fma.f64 (+.f64 1/48 (-.f64 (/.f64 1/512 (pow.f64 (sqrt.f64 1/2) 4)) (/.f64 1/512 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 b 3) (fma.f64 -1/4 b (pow.f64 (sqrt.f64 1/2) 2)))
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 1/2))
(+.f64 (*.f64 (+.f64 (*.f64 1/16384 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (+.f64 (*.f64 -1/8 (/.f64 (-.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 -1 (+.f64 (*.f64 -1/8 (/.f64 (-.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 (/.f64 -1/128 (pow.f64 (sqrt.f64 1/2) 3)) 2))))) (pow.f64 b 4)) (+.f64 (*.f64 (-.f64 (+.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 b 3)) (+.f64 (*.f64 -1/4 b) (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 (+.f64 1/48 (-.f64 (/.f64 1/512 (pow.f64 (sqrt.f64 1/2) 4)) (/.f64 1/512 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 b 3) (fma.f64 -1/4 b (pow.f64 (sqrt.f64 1/2) 2)))
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 b (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 -1/8 b) (sqrt.f64 1/2)))
(fma.f64 -1/8 (/.f64 b (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 b (sqrt.f64 1/2))) (*.f64 -1/128 (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 b (sqrt.f64 1/2)) (/.f64 (*.f64 -1/128 (*.f64 b b)) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (fma.f64 -1/8 (/.f64 b (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 -1/64 (/.f64 (*.f64 b b) (sqrt.f64 1/2))))
(fma.f64 -1/8 (/.f64 b (sqrt.f64 1/2)) (fma.f64 -1/64 (/.f64 b (/.f64 (sqrt.f64 1/2) b)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (*.f64 (/.f64 b (sqrt.f64 1/2)) (+.f64 -1/8 (/.f64 b -64))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 b (sqrt.f64 1/2))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 b 3)) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 b (sqrt.f64 1/2)) (fma.f64 -1/128 (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 1/2 (/.f64 (-.f64 1/48 (/.f64 1/512 (pow.f64 (sqrt.f64 1/2) 4))) (/.f64 (sqrt.f64 1/2) (pow.f64 b 3)))))))
(+.f64 (+.f64 (fma.f64 -1/8 (/.f64 b (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 (*.f64 5/768 (pow.f64 b 3)) (sqrt.f64 1/2))) (*.f64 -1/64 (/.f64 (*.f64 b b) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/64 (/.f64 b (/.f64 (sqrt.f64 1/2) b)) (fma.f64 -1/8 (/.f64 b (sqrt.f64 1/2)) (*.f64 (/.f64 5/768 (sqrt.f64 1/2)) (pow.f64 b 3)))))
(+.f64 (*.f64 (/.f64 b (sqrt.f64 1/2)) (+.f64 -1/8 (/.f64 b -64))) (+.f64 (sqrt.f64 1/2) (*.f64 (/.f64 5/768 (sqrt.f64 1/2)) (pow.f64 b 3))))
1/2
(pow.f64 (sqrt.f64 1/2) 2)
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b (pow.f64 (sqrt.f64 1/2) 2))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(fma.f64 (+.f64 1/48 (-.f64 (/.f64 1/512 (pow.f64 (sqrt.f64 1/2) 4)) (/.f64 1/512 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 b 3) (fma.f64 -1/4 b (pow.f64 (sqrt.f64 1/2) 2)))
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 1/2)) (*.f64 -1/480 (pow.f64 b 5)))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 1/2)))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1/2 (*.f64 b b) (+.f64 2 b))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2))
(fma.f64 (pow.f64 b 3) 1/6 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))

prune100.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh011
Picked101
Done011
Total1243127
Error
0.4b
Counts
127 → 3
Alt Table
StatusErrorProgram
24.3b
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
11.9b
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
✓1.0b
(/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
Compiler

Compiled 1745 to 1351 computations (22.6% saved)

regimes713.0ms (25.6%)

Accuracy

Total 0.3b remaining (64.5%)

Threshold costs 0.3b (64.5%)

Counts
285 → 1
Compiler

Compiled 4210 to 1853 computations (56% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×*-rgt-identity_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11815
22215
32415
42515
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
Outputs
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

end93.0ms (3.3%)

Stop Event
1×fuel
Compiler

Compiled 72 to 51 computations (29.2% saved)

Profiling

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