Details

Time bar (total: 6.8s)

analyze26.0ms (0.4%)

Algorithm
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
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample933.0ms (13.7%)

Results
900.0ms8256×body256valid
20.0ms213×body256invalid

preprocess17.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11026
022
Stop Event
saturated
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 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
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)))

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
1.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize8.0ms (0.1%)

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)))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series9.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

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

rewrite63.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
854×pow1_binary64
793×add-log-exp_binary64
793×log1p-expm1-u_binary64
793×expm1-log1p-u_binary64
774×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
114721
2212221
Stop Event
node limit
Counts
2 → 66
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 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(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))))))

simplify56.0ms (0.8%)

Algorithm
egg-herbie
Rules
763×distribute-rgt-in_binary64
740×distribute-lft-in_binary64
578×cancel-sign-sub-inv_binary64
396×fma-def_binary64
396×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090686
1273662
2875638
33997617
Stop Event
node limit
Counts
82 → 94
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 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (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)))))
(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)))))
(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))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.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 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.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 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.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 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (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 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (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))))) (/.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)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) -1/2 (+.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.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))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(/.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 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(+.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))))))
(fma.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 b (neg.f64 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 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 b (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(fma.f64 -1 (*.f64 (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 (/.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))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (*.f64 b b) (-.f64 (*.f64 b (-.f64 (/.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))) (*.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 (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 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (+.f64 1 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 (+.f64 1 a) (exp.f64 b)))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 a (+.f64 (exp.f64 b) (fma.f64 1/2 (*.f64 a a) 1)))
(+.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 (exp.f64 b) (+.f64 (fma.f64 1/2 (*.f64 a a) 1) (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (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 b (fma.f64 1/2 (*.f64 b b) 1)))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 1 (exp.f64 a)) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 b 3) 1) (fma.f64 1/2 (*.f64 b b) b)) (exp.f64 a))
(+.f64 b (+.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) (fma.f64 1/6 (pow.f64 b 3) 1)))
(+.f64 (exp.f64 a) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 1)))

eval33.0ms (0.5%)

Compiler

Compiled 1902 to 915 computations (51.9% saved)

prune20.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New87794
Fresh000
Picked011
Done000
Total87895
Error
0.2b
Counts
95 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
1.9b
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
11.6b
(/.f64 1 (+.f64 1 (exp.f64 b)))
1.3b
(/.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
1.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.8b
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
1.0b
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
23.9b
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
22.9b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Compiler

Compiled 178 to 126 computations (29.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
0.0b
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
1.2b
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.9b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 36 to 8 computations (77.8% saved)

series116.0ms (1.7%)

Counts
3 → 36
Calls

18 calls:

TimeVariablePointExpression
37.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
27.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
25.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
17.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
a
@0
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite98.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
814×prod-diff_binary64
461×log-prod_binary64
327×fma-def_binary64
304×pow-prod-down_binary64
256×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
118636
2265836
Stop Event
node limit
Counts
3 → 217
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
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(exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))

simplify59.0ms (0.9%)

Algorithm
egg-herbie
Rules
815×fma-def_binary64
677×associate-*r*_binary64
660×associate-*l*_binary64
438×distribute-rgt-in_binary64
434×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01361541
14301461
215711350
Stop Event
node limit
Counts
253 → 270
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 -1/6 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a)))) (*.f64 -1/6 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))))
Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (*.f64 1/2 (*.f64 a a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (log1p.f64 (exp.f64 b))) (fma.f64 (*.f64 1/2 (*.f64 a a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 b)) (*.f64 (pow.f64 a 3) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 1/2 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (log1p.f64 (exp.f64 a))))
(+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/6 (pow.f64 b 3)) (log1p.f64 (exp.f64 a))))
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(-.f64 (+.f64 a (*.f64 a (/.f64 -1 (+.f64 1 (exp.f64 b))))) (log1p.f64 (exp.f64 b)))
(+.f64 a (-.f64 (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/2)))
(-.f64 (fma.f64 (*.f64 (*.f64 a a) -1/2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 a (*.f64 a (/.f64 -1 (+.f64 1 (exp.f64 b)))))) (log1p.f64 (exp.f64 b)))
(fma.f64 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) -1/2 (+.f64 a (-.f64 (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/2))))
(-.f64 (fma.f64 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/6 (fma.f64 (*.f64 (*.f64 a a) -1/2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 a (*.f64 a (/.f64 -1 (+.f64 1 (exp.f64 b))))))) (log1p.f64 (exp.f64 b)))
(fma.f64 (pow.f64 a 3) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) -1/2 (+.f64 a (-.f64 (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 a (-.f64 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(-.f64 a (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(-.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) -1/2 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (fma.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a)))
(+.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) -1/2 a) (-.f64 (-.f64 (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (pow.f64 b 3) -1/6)) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (-.f64 (fma.f64 (pow.f64 b 3) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) a) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(fma.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (+.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))
(fma.f64 (*.f64 a a) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))
(fma.f64 (*.f64 a (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2)) (fma.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (+.f64 1 (exp.f64 b))) -1/2 (*.f64 1/2 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 2)))) (*.f64 (+.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 -1/6 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))))
(fma.f64 (*.f64 a a) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (fma.f64 (pow.f64 a 3) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 -1/6 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))
(fma.f64 (*.f64 a (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2)) (fma.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (*.f64 (+.f64 (*.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b))))) (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 3) (*.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/6)))) 1) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (+.f64 1 (exp.f64 b))) -1/2 (*.f64 1/2 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 2)))) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (+.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 2) (+.f64 1 (exp.f64 b))) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) 1))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) b))))
(-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) b))
(-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))))
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (*.f64 b b) (fma.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/2 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) 1) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) b))
(fma.f64 (fma.f64 (*.f64 b b) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) 1) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (neg.f64 (exp.f64 a)) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a)))) (*.f64 -1/6 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))))
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (pow.f64 b 3) (-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/6)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (*.f64 b b) (fma.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) b))))))
(+.f64 (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 (*.f64 (pow.f64 b 3) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) -1/6 (/.f64 -1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 (*.f64 b b) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/2 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) b)))
(-.f64 (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 (fma.f64 (pow.f64 b 3) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/6 (/.f64 -1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 1) (*.f64 b (*.f64 b (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite52.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
596×pow1_binary64
554×add-log-exp_binary64
554×log1p-expm1-u_binary64
554×expm1-log1p-u_binary64
542×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11249
215679
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (/.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 (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 (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 (neg.f64 (+.f64 1 (exp.f64 b)))))))) (#(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 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.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 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.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 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(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 pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 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 (+.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 log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))))

simplify158.0ms (2.3%)

Algorithm
egg-herbie
Rules
1204×sqr-pow_binary64
708×cube-prod_binary64
676×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01843
14641
210437
326137
447937
597537
6138937
7202537
8213237
9229437
10250737
11283737
12329337
13389237
14464537
15558137
16608737
17657137
18696937
19729337
20745137
Stop Event
node limit
Counts
26 → 29
Calls
Call 1
Inputs
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))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3))))
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 1/2))
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) 1/2)
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 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 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 1/2)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 1/2)))
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 1/2))
(fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) 1/2)))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 9 computations (47.1% saved)

series3.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
1.0ms
a
@0
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.0ms
a
@0
(+.f64 1 (exp.f64 a))
0.0ms
a
@inf
(+.f64 1 (exp.f64 a))

rewrite68.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
669×pow1_binary64
623×add-log-exp_binary64
623×log1p-expm1-u_binary64
623×expm1-log1p-u_binary64
610×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
112416
2167916
Stop Event
node limit
Counts
2 → 63
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(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) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))))) (#(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) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))))

simplify147.0ms (2.2%)

Algorithm
egg-herbie
Rules
1219×fma-def_binary64
761×sqr-pow_binary64
637×cube-prod_binary64
401×unswap-sqr_binary64
368×unpow3_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02879
17373
218571
351666
4118366
5206964
6309364
7340964
8365064
9395664
10430564
11476564
12533264
13603464
14690664
15738064
16783164
Stop Event
node limit
Counts
71 → 77
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(fma.f64 a (fma.f64 a (*.f64 a -1/48) 1/4) 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a))))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2)))
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/480 (pow.f64 a 5) 1/2)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(fma.f64 (fma.f64 1/2 a 1) a 2)
(fma.f64 a (fma.f64 1/2 a 1) 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(fma.f64 (*.f64 a a) (fma.f64 a 1/6 1/2) (+.f64 a 2))
(fma.f64 a (fma.f64 a (fma.f64 a 1/6 1/2) 1) 2)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 b) a)
0.3b
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite69.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
719×prod-diff_binary64
457×log-prod_binary64
320×fma-def_binary64
304×pow-prod-down_binary64
256×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0920
119119
2275119
Stop Event
node limit
Counts
2 → 97
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (exp.f64 b) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.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 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 b) (+.f64 a 1))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) -2) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.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 b) (+.f64 a 1))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 b) (+.f64 a 1)) -1/2) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (sqrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (+.f64 a (exp.f64 b)) 3))) (fma.f64 (+.f64 a (exp.f64 b)) (-.f64 (+.f64 a (exp.f64 b)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (+.f64 a (exp.f64 b)) 2))) (-.f64 (-.f64 1 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 3 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 (+.f64 a (exp.f64 b))) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (+.f64 a 1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (-.f64 (log1p.f64 (+.f64 a (exp.f64 b))) a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 3 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (+.f64 a 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 b) (+.f64 a 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 b) a)) (/.f64 (*.f64 a a) (-.f64 (exp.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a (exp.f64 b))) (cbrt.f64 (pow.f64 (+.f64 a (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 a (exp.f64 b)) 2)) (cbrt.f64 (+.f64 a (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a (exp.f64 b))) (sqrt.f64 (+.f64 a (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (exp.f64 b)) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a a)) (/.f64 1 (-.f64 (exp.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a (-.f64 a (exp.f64 b)) (pow.f64 (exp.f64 b) 2)) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 b) a) (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (exp.f64 b)) (pow.f64 (exp.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a a)) (-.f64 (exp.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (exp.f64 b)) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a a))) (neg.f64 (-.f64 (exp.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (exp.f64 b) 2)) (-.f64 a (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a (exp.f64 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a (-.f64 a (exp.f64 b)) (pow.f64 (exp.f64 b) 2)) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (exp.f64 b) a) (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 b)) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (+.f64 a (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 b) (+.f64 a 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 b) 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (exp.f64 b) (+.f64 a 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) 2) (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 b)) (cbrt.f64 (pow.f64 (exp.f64 b) 2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) (sqrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (+.f64 a (exp.f64 b)) 3)) (/.f64 1 (fma.f64 (+.f64 a (exp.f64 b)) (-.f64 (+.f64 a (exp.f64 b)) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (+.f64 a (exp.f64 b)) 2)) (/.f64 1 (-.f64 (-.f64 1 a) (exp.f64 b))) -1)))))

simplify67.0ms (1%)

Algorithm
egg-herbie
Rules
410×fma-def_binary64
389×distribute-rgt-neg-in_binary64
348×distribute-lft-neg-in_binary64
293×distribute-rgt-out_binary64
290×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0931074
12861052
29871007
35524956
Stop Event
node limit
Counts
145 → 132
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 (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 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 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3)) (+.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 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(/.f64 (exp.f64 a) (+.f64 2 a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (+.f64 2 a))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 1 a)
(+.f64 1 (+.f64 a b))
(+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(exp.f64 b)
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
a
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
a
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
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 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (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 (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 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))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.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))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.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 a (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (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 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3)) (+.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 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))) (fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.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))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/6 (+.f64 1 (exp.f64 b)))) (-.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) (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 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (/.f64 (exp.f64 a) a))
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a)))
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a))))
(*.f64 (+.f64 (/.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) a) 1) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a))))
(*.f64 (/.f64 (exp.f64 a) a) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (+.f64 1 (exp.f64 b)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(-.f64 (+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 4)) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 a a)) (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) a) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 3)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (/.f64 (exp.f64 a) a))
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a)))
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a))))
(*.f64 (+.f64 (/.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) a) 1) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a))))
(*.f64 (/.f64 (exp.f64 a) a) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (+.f64 1 (exp.f64 b)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(-.f64 (+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 4)) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 a a)) (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) a) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 3)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a))))
(/.f64 (exp.f64 a) (+.f64 2 a))
(/.f64 (exp.f64 a) (+.f64 a 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (*.f64 b b)) (fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3))) (*.f64 b b)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (+.f64 (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))))
(fma.f64 (*.f64 b b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (-.f64 (/.f64 1 (+.f64 a 2)) 1/2)) (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (+.f64 2 a))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))))
(fma.f64 -1 (*.f64 (pow.f64 b 3) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (+.f64 a 2)) (/.f64 (*.f64 1/6 (exp.f64 a)) (pow.f64 (+.f64 a 2) 2))))) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (*.f64 b b)) (fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))))
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3))) (*.f64 b b))) (*.f64 (pow.f64 b 3) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) -1/2 (-.f64 (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3))) (+.f64 a 2))))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 a 2)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2)) (+.f64 a 2)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2)))))
(fma.f64 (*.f64 b b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (-.f64 (/.f64 1 (+.f64 a 2)) 1/2)) (fma.f64 (pow.f64 b 3) (-.f64 (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2)) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 a 2))))) (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 1 a)
(+.f64 1 (+.f64 a b))
(+.f64 (+.f64 1 a) b)
(+.f64 a (+.f64 1 b))
(+.f64 1 (+.f64 b a))
(+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b))))
(+.f64 1 (+.f64 a (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 1 (+.f64 a (fma.f64 b (*.f64 b 1/2) b)))
(+.f64 b (+.f64 a (fma.f64 b (*.f64 b 1/2) 1)))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b)))))
(+.f64 (+.f64 a (fma.f64 1/2 (*.f64 b b) b)) (fma.f64 1/6 (pow.f64 b 3) 1))
(+.f64 1 (fma.f64 1/6 (pow.f64 b 3) (+.f64 a (fma.f64 b (*.f64 b 1/2) b))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 b (+.f64 a (fma.f64 b (*.f64 b 1/2) 1))))
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(exp.f64 b)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
a
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
a
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
0.3b
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
0.9b
(/.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
Compiler

Compiled 42 to 17 computations (59.5% saved)

series5.0ms (0.1%)

Counts
3 → 56
Calls

18 calls:

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

rewrite86.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
849×prod-diff_binary64
486×log-prod_binary64
446×fma-def_binary64
260×fma-neg_binary64
184×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
122432
2344332
Stop Event
node limit
Counts
3 → 207
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(+.f64 1 (+.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 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(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 pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1) -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 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (exp.f64 b) (expm1.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 b) (expm1.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 a) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (exp.f64 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(exp.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) (fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 b) (expm1.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (-.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) (-.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))) (neg.f64 (fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 b) (expm1.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) 1) (+.f64 (exp.f64 b) (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1) (neg.f64 (exp.f64 (+.f64 b b)))) (-.f64 (+.f64 (exp.f64 a) 1) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) 1) (fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 b) (expm1.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) 1) (-.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 b) (expm1.f64 a)) 1) (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 b)) (exp.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (exp.f64 a) 1)) (+.f64 1 (expm1.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 a) 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 a) 1) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 b) 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 b)) (cbrt.f64 (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1)) 2) (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 1 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (exp.f64 a) 1) 1 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 (+.f64 (exp.f64 a) 1))) (cbrt.f64 (+.f64 (exp.f64 a) 1)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) (cbrt.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))) (cbrt.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) (sqrt.f64 (+.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))))

simplify65.0ms (1%)

Algorithm
egg-herbie
Rules
763×distribute-rgt-in_binary64
578×cancel-sign-sub-inv_binary64
445×fma-def_binary64
396×fma-neg_binary64
325×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01011134
13071106
29871082
343361061
Stop Event
node limit
Counts
263 → 252
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 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 2 (exp.f64 b))
(+.f64 2 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (exp.f64 b))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 2 (exp.f64 a))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.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))))
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (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)))))
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(+.f64 2 (+.f64 (exp.f64 b) a))
(+.f64 (exp.f64 b) (+.f64 a 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 (exp.f64 b) a)))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (exp.f64 b) (+.f64 a (fma.f64 1/2 (*.f64 a a) 2)))
(+.f64 (exp.f64 b) (+.f64 a (fma.f64 a (*.f64 a 1/2) 2)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (exp.f64 b) (+.f64 (fma.f64 1/2 (*.f64 a a) 2) (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 (exp.f64 b) (+.f64 (fma.f64 a (*.f64 a 1/2) 2) (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 2 (exp.f64 a))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 2))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 2 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 2 (fma.f64 b (*.f64 b 1/2) b)))
(+.f64 (exp.f64 a) (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 (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) 2))
(+.f64 (exp.f64 a) (+.f64 (fma.f64 b (*.f64 b 1/2) b) (fma.f64 1/6 (pow.f64 b 3) 2)))

eval251.0ms (3.7%)

Compiler

Compiled 16635 to 7418 computations (55.4% saved)

prune194.0ms (2.8%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New84311854
Fresh202
Picked101
Done145
Total84715862
Error
0b
Counts
862 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
1.9b
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
11.6b
(/.f64 1 (+.f64 1 (exp.f64 b)))
41.4b
(+.f64 1/2 (*.f64 -1/4 b))
40.1b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
40.2b
1/2
20.4b
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
11.6b
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
40.0b
(+.f64 1/2 (*.f64 1/4 a))
1.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
22.9b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
11.9b
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
33.4b
(exp.f64 a)
23.6b
(/.f64 (exp.f64 a) 2)
40.2b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
24.4b
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
Compiler

Compiled 277 to 214 computations (22.7% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 6 computations (64.7% saved)

series41.0ms (0.6%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
23.0ms
b
@-inf
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
17.0ms
b
@inf
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
1.0ms
b
@0
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))

rewrite47.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
418×pow1_binary64
402×add-sqr-sqrt_binary64
396×*-un-lft-identity_binary64
383×add-log-exp_binary64
382×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11136
213376
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 b) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2)) (cbrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 b) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 3 b))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 b) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 b) 1 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 b)) (cbrt.f64 (pow.f64 (exp.f64 b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (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)))))

simplify104.0ms (1.5%)

Algorithm
egg-herbie
Rules
1410×fma-def_binary64
689×associate-/l*_binary64
578×unswap-sqr_binary64
293×associate-/r*_binary64
280×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031187
184121
2230109
3548109
41528109
52683109
64082109
75422109
86231109
96462109
106827109
117495109
Stop Event
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (log.f64 2)))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
Outputs
(exp.f64 (neg.f64 (log.f64 2)))
1/2
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))
(fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) b) (exp.f64 (neg.f64 (log.f64 2))))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))))
(fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) b) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)) (exp.f64 (neg.f64 (log.f64 2)))))
(+.f64 (*.f64 b -1/4) (+.f64 1/2 (*.f64 (pow.f64 b 3) 1/48)))
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 1/2))
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) 1/2)
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))))
(fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) b) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)) (fma.f64 -1/240 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 5)) (exp.f64 (neg.f64 (log.f64 2))))))
(+.f64 (*.f64 b -1/4) (+.f64 1/2 (+.f64 (*.f64 (pow.f64 b 3) 1/48) (*.f64 (pow.f64 b 5) -1/480))))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 (pow.f64 b 5) -1/480 1/2)))
(fma.f64 (pow.f64 b 5) -1/480 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 1/2)))
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 (pow.f64 b 5) -1/480 1/2))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))

localize6.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
0.1b
(*.f64 -1/48 (pow.f64 a 3))
Compiler

Compiled 34 to 27 computations (20.6% saved)

series3.0ms (0%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@0
(*.f64 -1/48 (pow.f64 a 3))
1.0ms
a
@inf
(*.f64 -1/48 (pow.f64 a 3))
1.0ms
a
@-inf
(*.f64 -1/48 (pow.f64 a 3))
0.0ms
a
@inf
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
0.0ms
a
@0
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))

rewrite90.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
492×log-prod_binary64
418×fma-def_binary64
327×pow-prod-down_binary64
295×pow2_binary64
234×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01121
125219
2312119
Stop Event
node limit
Counts
2 → 104
Calls
Call 1
Inputs
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 6) 1/2304) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 9) -1/110592) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 9) -1/110592))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 -1/48))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a 9) -1/110592)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 a 6) 1/2304) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2) (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 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(-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 3) (pow.f64 (*.f64 a 1/4) 3)) (+.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 2) (-.f64 (*.f64 1/16 (*.f64 a a)) (*.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (*.f64 a 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (*.f64 (pow.f64 a 6) 1/2304)) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 2) (*.f64 1/16 (*.f64 a a))) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (*.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) (*.f64 (pow.f64 a 6) 1/2304)) (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))) (exp.f64 (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)) (+.f64 1 (expm1.f64 (fma.f64 a 1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))) (+.f64 1 (expm1.f64 (fma.f64 a 1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) 1/4) (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/4))) (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/4 1/2))) (pow.f64 (exp.f64 -1/48) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 a 1/4 1/2)) (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/4 1/2))) (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (+.f64 1 (expm1.f64 (*.f64 a 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/4 (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (*.f64 a a) -1/48) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 (pow.f64 a 3)) 1 (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 1/4) 1 (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a 1/4 1/2) 1 (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 1/4) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (*.f64 a -1/48) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a 1/4)) (pow.f64 (cbrt.f64 (*.f64 a 1/4)) 2) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/4)) 2) (cbrt.f64 (*.f64 a 1/4)) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 -1/48)) (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 2) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 2) (*.f64 a (cbrt.f64 -1/48)) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 1/4) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 a 1/4 1/2)) (pow.f64 (cbrt.f64 (fma.f64 a 1/4 1/2)) 2) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/4 1/2)) 2) (cbrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 a)) (*.f64 1/2 (sqrt.f64 a)) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2)) (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2)) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/4) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a 1/4 1/2)) (sqrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 a 3) 1/64 1/8) (/.f64 1 (fma.f64 (*.f64 a 1/4) (fma.f64 a 1/4 -1/2) 1/4)) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 a a))) (/.f64 1 (+.f64 1/2 (*.f64 -1/4 a))) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (*.f64 (pow.f64 a 3/2) -1/48) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 1 (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) 2) (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 a) (*.f64 a a) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 (*.f64 a a)) a (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 (pow.f64 a 3/2)) (pow.f64 a 3/2) (fma.f64 a 1/4 1/2))))))

simplify166.0ms (2.4%)

Algorithm
egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
472×fabs-mul_binary64
453×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
12442
24642
39242
415742
538342
6125942
7196042
8204642
9217842
10233642
11257642
12289842
13331942
14382142
15442342
16514542
17546642
18574842
19597442
20615242
21623442
22717442
Stop Event
node limit
Counts
110 → 110
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a))
(fma.f64 1/4 a (*.f64 -1/48 (pow.f64 a 3)))
(*.f64 a (fma.f64 a (*.f64 a -1/48) 1/4))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a))
(fma.f64 1/4 a (*.f64 -1/48 (pow.f64 a 3)))
(*.f64 a (fma.f64 a (*.f64 a -1/48) 1/4))

localize42.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))
0.1b
(*.f64 -1/48 (pow.f64 a 3))
0.3b
(*.f64 1/480 (pow.f64 a 5))
11.3b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
Compiler

Compiled 65 to 52 computations (20% saved)

series4.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
a
@0
(*.f64 1/480 (pow.f64 a 5))
1.0ms
a
@inf
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
1.0ms
a
@inf
(+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))
0.0ms
a
@inf
(*.f64 1/480 (pow.f64 a 5))
0.0ms
a
@-inf
(*.f64 1/480 (pow.f64 a 5))

rewrite93.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
748×fma-def_binary64
732×log-prod_binary64
387×fma-neg_binary64
303×expm1-udef_binary64
303×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01639
137239
2474637
Stop Event
node limit
Counts
3 → 147
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(*.f64 1/480 (pow.f64 a 5))
(+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 a 6) 1/2304) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) -1/2) (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4)))) (/.f64 (pow.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) 2) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) -1/2) (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))) 2) (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) 3)) (/.f64 1 (fma.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) (-.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) (*.f64 -1/48 (pow.f64 a 3))) (*.f64 (pow.f64 a 6) 1/2304))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) 2)) (/.f64 1 (-.f64 (fma.f64 -1/48 (pow.f64 a 3) -1/2) (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) (-.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) (*.f64 -1/48 (pow.f64 a 3))) (*.f64 (pow.f64 a 6) 1/2304)) (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 -1/48 (pow.f64 a 3) -1/2) (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4))) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) 3)) (fma.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) (-.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) (*.f64 -1/48 (pow.f64 a 3))) (*.f64 (pow.f64 a 6) 1/2304)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) 3)) (+.f64 (pow.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) 2) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) 2)) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) -1/2) (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) 3))) (neg.f64 (fma.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) (-.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)) (*.f64 -1/48 (pow.f64 a 3))) (*.f64 (pow.f64 a 6) 1/2304))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 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1/4)) 2)) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))) (exp.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48) (+.f64 1 (expm1.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))) (+.f64 1 (expm1.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4))) (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4)))) (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))) (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))) (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))) (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (+.f64 1 (expm1.f64 (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (*.f64 a a) -1/48) (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 (pow.f64 a 3)) 1 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4)) 1 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a 5/2)) (*.f64 (sqrt.f64 1/480) (pow.f64 a 5/2)) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 a)) (*.f64 1/2 (sqrt.f64 a)) (*.f64 1/480 (pow.f64 a 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 5/2) (*.f64 (pow.f64 a 5/2) 1/480) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 1/480 (pow.f64 a 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (sqrt.f64 a)) (sqrt.f64 a) (*.f64 1/480 (pow.f64 a 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/480 (cbrt.f64 (pow.f64 a 10))) (cbrt.f64 (pow.f64 a 5)) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/480 (pow.f64 a 5/2)) (pow.f64 a 5/2) (*.f64 a 1/4))))))

simplify172.0ms (2.5%)

Algorithm
egg-herbie
Rules
1204×sqr-pow_binary64
708×cube-prod_binary64
678×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018118
145114
294114
3217114
4366114
5815114
61175114
71811114
81918114
92079114
102292114
112622114
123078114
133675114
144428114
155362114
165872114
176356114
186752114
197078114
207236114
Stop Event
node limit
Counts
159 → 158
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(*.f64 1/480 (pow.f64 a 5))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/480 (pow.f64 a 5)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))
(*.f64 1/480 (pow.f64 a 5))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/480 (pow.f64 a 5)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))
(*.f64 1/4 a)
(*.f64 1/480 (pow.f64 a 5))
(*.f64 1/480 (pow.f64 a 5))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(*.f64 1/480 (pow.f64 a 5))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/480 (pow.f64 a 5)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (*.f64 1/480 (pow.f64 a 5))))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/480 (pow.f64 a 5))))
(fma.f64 1/480 (pow.f64 a 5) (*.f64 a (fma.f64 -1/48 (*.f64 a a) 1/4)))
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a)))
(*.f64 1/480 (pow.f64 a 5))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/480 (pow.f64 a 5)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (*.f64 1/480 (pow.f64 a 5))))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/480 (pow.f64 a 5))))
(fma.f64 1/480 (pow.f64 a 5) (*.f64 a (fma.f64 -1/48 (*.f64 a a) 1/4)))
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a)))
(*.f64 1/4 a)
(*.f64 1/480 (pow.f64 a 5))
(*.f64 1/480 (pow.f64 a 5))

eval236.0ms (3.5%)

Compiler

Compiled 6228 to 5052 computations (18.9% saved)

prune65.0ms (1%)

Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New3306336
Fresh336
Picked011
Done088
Total33318351
Error
0b
Counts
351 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
40.2b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
50.0b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
51.8b
(*.f64 1/480 (pow.f64 a 5))
1.9b
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
11.6b
(/.f64 1 (+.f64 1 (exp.f64 b)))
41.4b
(+.f64 1/2 (*.f64 -1/4 b))
20.4b
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
11.6b
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
40.2b
1/2
1.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
22.9b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
33.4b
(exp.f64 a)
23.6b
(/.f64 (exp.f64 a) 2)
40.1b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
40.0b
(+.f64 1/2 (*.f64 1/4 a))
24.4b
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
50.0b
(+.f64 (exp.f64 b) 1)
50.0b
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
Compiler

Compiled 277 to 208 computations (24.9% saved)

localize38.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
0.5b
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
2.9b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.5b
(-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
Compiler

Compiled 105 to 34 computations (67.6% saved)

series181.0ms (2.7%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
102.0ms
b
@-inf
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
38.0ms
b
@inf
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
11.0ms
b
@0
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
10.0ms
a
@0
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
9.0ms
a
@0
(-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))

rewrite146.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
784×log-prod_binary64
603×fma-def_binary64
312×fma-neg_binary64
297×expm1-udef_binary64
297×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01771
137047
2497647
Stop Event
node limit
Counts
3 → 161
Calls
Call 1
Inputs
(-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (log.f64 (pow.f64 (E.f64) (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (fma.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 4)) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1/2) (*.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (*.f64 1/3 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (*.f64 2 (*.f64 1/3 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 1 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 2/3) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (log.f64 (pow.f64 (exp.f64 1/3) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 1/2) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (log.f64 (pow.f64 (exp.f64 1/2) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (log.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) 2) (cbrt.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (log.f64 (pow.f64 (E.f64) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 6) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 6)) (/.f64 1 (fma.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (fma.f64 a a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 4) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 4)) (/.f64 1 (fma.f64 a a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (fma.f64 a a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 a 4)) (-.f64 (pow.f64 a 6) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (-.f64 (pow.f64 a 4) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 6) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 6)) (fma.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (fma.f64 a a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 4)) (fma.f64 a a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 6) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 6))) (neg.f64 (fma.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (fma.f64 a a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 4) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 4))) (neg.f64 (fma.f64 a a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) (pow.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 3)) (+.f64 (pow.f64 a 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (*.f64 (*.f64 a a) (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (*.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (-.f64 (*.f64 a a) (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))))) (#(struct:change 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simplify181.0ms (2.7%)

Algorithm
egg-herbie
Rules
920×times-frac_binary64
735×associate-/l*_binary64
311×fma-def_binary64
210×distribute-rgt-in_binary64
209×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03346463
111626390
246246078
Stop Event
node limit
Counts
217 → 224
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2))
(+.f64 (*.f64 -2 (/.f64 (*.f64 a (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log.f64 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 1/3 (*.f64 (log.f64 (+.f64 1 (exp.f64 b))) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 3)) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log.f64 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)))))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 a 2))
(-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 1 (exp.f64 a)))) (pow.f64 a 2)) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (pow.f64 a 2))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 1/3 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (pow.f64 a 2)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))
(-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
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1
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1
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(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a)))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2))))) (*.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a))) b)) (+.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2)))) (*.f64 -2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a))))) 2)) (+.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2)))) (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 3))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2)))) (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))))) (*.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a))) (pow.f64 b 2))) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 3))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2))))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (-.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 3)))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 4))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 3)))))))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (-.f64 (+.f64 (*.f64 -4/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 1 (exp.f64 a)))))) (+.f64 (*.f64 1/3 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (*.f64 12 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 1 (exp.f64 a)))) (*.f64 -16 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2)))) (*.f64 -2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a))))) 3)) (*.f64 (+.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a))) (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 3))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2)))) (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a) 2)))) (*.f64 -2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a))))))))))) (*.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) a))) (pow.f64 b 3))))))
(exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)
(+.f64 (*.f64 2 (/.f64 (*.f64 a (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2))
(+.f64 (*.f64 2 (/.f64 (*.f64 a (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log.f64 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)))
(+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/3 (*.f64 (log.f64 (+.f64 1 (exp.f64 b))) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (*.f64 2 (/.f64 (*.f64 a (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log.f64 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)
(+.f64 (*.f64 2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 1 (exp.f64 a)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 1 (exp.f64 a)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 3)) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))))
Outputs
(*.f64 -1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2))
(neg.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(+.f64 (*.f64 -2 (/.f64 (*.f64 a (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)))
(fma.f64 -2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) (log1p.f64 (exp.f64 b)))) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(-.f64 (*.f64 -2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) (log1p.f64 (exp.f64 b))))) (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log.f64 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2))))
(fma.f64 (*.f64 a a) (-.f64 1 (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log1p.f64 (exp.f64 b)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (fma.f64 -2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) (log1p.f64 (exp.f64 b)))) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(fma.f64 (*.f64 a a) (-.f64 1 (fma.f64 (log1p.f64 (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 (*.f64 -2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) (log1p.f64 (exp.f64 b))))) (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
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(fma.f64 2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) (log1p.f64 (exp.f64 b)))) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log1p.f64 (exp.f64 b)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(fma.f64 2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) (log1p.f64 (exp.f64 b)))) (fma.f64 (*.f64 a a) (fma.f64 (log1p.f64 (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))) (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/3 (*.f64 (log.f64 (+.f64 1 (exp.f64 b))) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (*.f64 2 (/.f64 (*.f64 a (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log.f64 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2))))
(fma.f64 (pow.f64 a 3) (-.f64 (fma.f64 1/3 (*.f64 (log1p.f64 (exp.f64 b)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (fma.f64 2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) (log1p.f64 (exp.f64 b)))) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log1p.f64 (exp.f64 b)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/3 (*.f64 (log1p.f64 (exp.f64 b)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (fma.f64 2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) (log1p.f64 (exp.f64 b)))) (fma.f64 (*.f64 a a) (fma.f64 (log1p.f64 (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))) (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(fma.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (log1p.f64 (exp.f64 b)) 1/3) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (fma.f64 2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) (log1p.f64 (exp.f64 b)))) (fma.f64 (*.f64 a a) (fma.f64 (log1p.f64 (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))) (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) 2)
(+.f64 (*.f64 2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 1 (exp.f64 a)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))
(fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 1 (exp.f64 a)) b)) (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(fma.f64 2 (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) b) (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 1 (exp.f64 a)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 1 (exp.f64 a)) b)) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(fma.f64 (*.f64 b b) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (fma.f64 2 (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) b) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 3)) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2))))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 1 (exp.f64 a)) b)) (fma.f64 (-.f64 (fma.f64 1/3 (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 3) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(fma.f64 (*.f64 b b) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (fma.f64 2 (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) b) (fma.f64 (pow.f64 b 3) (+.f64 (fma.f64 1/3 (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(fma.f64 (*.f64 b b) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (fma.f64 2 (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) b) (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 1/3 (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))

localize6.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize42.0ms (0.6%)

Compiler

Compiled 10 to 6 computations (40% saved)

localize36.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 48 to 28 computations (41.7% saved)

series23.0ms (0.3%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 a 2))
3.0ms
b
@-inf
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
2.0ms
b
@0
(/.f64 (neg.f64 b) (+.f64 a 2))
2.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 a 2))
1.0ms
b
@inf
(/.f64 (neg.f64 b) (+.f64 a 2))

rewrite103.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
602×log-prod_binary64
454×prod-diff_binary64
308×pow2_binary64
246×fma-def_binary64
215×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01241
126536
2386536
Stop Event
node limit
Counts
3 → 185
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 a 2))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 a) (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 -2 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a 2)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a 2))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (cbrt.f64 (pow.f64 (+.f64 a 2) 2))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (+.f64 a 2) 2))) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (sqrt.f64 (+.f64 a 2))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 8 (pow.f64 a 3))) (-.f64 (fma.f64 a a 4) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (fma.f64 a a -4)) (+.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a 2) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 a 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 a 2) (exp.f64 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 -2 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 a 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 a 2))) 1))))))
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fma.f64 (/.f64 (exp.f64 a) (+.f64 8 (pow.f64 a 3))) (-.f64 (fma.f64 a a 4) (+.f64 a a)) (*.f64 (/.f64 b (+.f64 a 2)) (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (exp.f64 a) (+.f64 8 (pow.f64 a 3))) (-.f64 (fma.f64 a a 4) (+.f64 a a)) (*.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (/.f64 b (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (exp.f64 a) (fma.f64 a a -4)) (+.f64 a -2) (*.f64 (/.f64 b (+.f64 a 2)) (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (exp.f64 a) (fma.f64 a a -4)) (+.f64 a -2) (*.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (/.f64 b (+.f64 a 2))))))))

simplify62.0ms (0.9%)

Algorithm
egg-herbie
Rules
493×times-frac_binary64
438×associate-+l+_binary64
378×associate-/l*_binary64
306×cancel-sign-sub-inv_binary64
289×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01441645
14921557
218631327
Stop Event
node limit
Counts
245 → 239
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/4 a) (*.f64 1/8 (pow.f64 a 2)))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)))
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)))
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(*.f64 -1/2 b)
(+.f64 (*.f64 -1/2 b) (*.f64 1/4 (*.f64 a b)))
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 a 2) b)) (*.f64 1/4 (*.f64 a b))))
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 a 2) b)) (*.f64 1/4 (*.f64 a b)))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 b (pow.f64 a 3))) (*.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 b (pow.f64 a 3))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))
(+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 b (pow.f64 a 3))) (*.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 b (pow.f64 a 3))) (*.f64 -1 (/.f64 b a)))))
(/.f64 (exp.f64 a) (+.f64 2 a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))))
(+.f64 (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 1/16 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/6 (+.f64 (*.f64 -1/2 b) 1)))))) (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))
(/.f64 (exp.f64 a) a)
(-.f64 (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2)))) (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 3))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2))))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))) (pow.f64 a 3)))))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 3))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2)))))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 2 (*.f64 (exp.f64 a) b)) (*.f64 2 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))))) (pow.f64 a 4))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))) (pow.f64 a 3))))))
(/.f64 (exp.f64 a) a)
(-.f64 (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2)))) (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (*.f64 (exp.f64 a) b)) (*.f64 -2 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))))) (pow.f64 a 3))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2))))) (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (*.f64 (exp.f64 a) b)) (*.f64 -2 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))))) (pow.f64 a 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 4))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2)))))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -2 (*.f64 (exp.f64 a) b)) (*.f64 -2 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))))) (pow.f64 a 4))) (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 1/2 (fma.f64 1/4 a (*.f64 1/8 (*.f64 a a))))
(+.f64 (fma.f64 1/4 a 1/2) (*.f64 a (*.f64 a 1/8)))
(+.f64 1/2 (*.f64 a (+.f64 1/4 (*.f64 a 1/8))))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/4 a) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 a 3) (fma.f64 1/4 a (*.f64 1/8 (*.f64 a a)))))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 a 3) (fma.f64 1/4 a (*.f64 a (*.f64 a 1/8)))))
(+.f64 (fma.f64 1/4 a 1/2) (*.f64 (*.f64 a a) (+.f64 1/8 (*.f64 a 1/48))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (exp.f64 a) a))
(*.f64 (+.f64 (/.f64 -2 a) 1) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)))
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (exp.f64 a) a)))
(+.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 -2 (/.f64 4 a))))
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))))))
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))))))
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (/.f64 (exp.f64 a) a))))
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 -2 (/.f64 4 a))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (exp.f64 a) a))
(*.f64 (+.f64 (/.f64 -2 a) 1) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)))
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (exp.f64 a) a)))
(+.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 -2 (/.f64 4 a))))
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))))))
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))))))
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (/.f64 (exp.f64 a) a))))
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 -2 (/.f64 4 a))))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1 (/.f64 b (+.f64 2 a)))
(neg.f64 (/.f64 b (+.f64 a 2)))
(/.f64 (neg.f64 b) (+.f64 a 2))
(*.f64 -1/2 b)
(*.f64 b -1/2)
(+.f64 (*.f64 -1/2 b) (*.f64 1/4 (*.f64 a b)))
(fma.f64 -1/2 b (*.f64 1/4 (*.f64 a b)))
(*.f64 b (+.f64 (*.f64 1/4 a) -1/2))
(*.f64 b (+.f64 -1/2 (*.f64 1/4 a)))
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 a 2) b)) (*.f64 1/4 (*.f64 a b))))
(fma.f64 -1/2 b (fma.f64 -1/8 (*.f64 (*.f64 a a) b) (*.f64 1/4 (*.f64 a b))))
(fma.f64 b -1/2 (*.f64 b (+.f64 (*.f64 1/4 a) (*.f64 (*.f64 a a) -1/8))))
(*.f64 b (+.f64 -1/2 (*.f64 a (+.f64 1/4 (*.f64 a -1/8)))))
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 a 2) b)) (*.f64 1/4 (*.f64 a b)))))
(fma.f64 1/16 (*.f64 (pow.f64 a 3) b) (fma.f64 -1/2 b (fma.f64 -1/8 (*.f64 (*.f64 a a) b) (*.f64 1/4 (*.f64 a b)))))
(fma.f64 1/16 (*.f64 (pow.f64 a 3) b) (fma.f64 b -1/2 (*.f64 b (+.f64 (*.f64 1/4 a) (*.f64 (*.f64 a a) -1/8)))))
(*.f64 b (+.f64 (*.f64 a (+.f64 1/4 (*.f64 a -1/8))) (+.f64 (*.f64 (pow.f64 a 3) 1/16) -1/2)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))
(fma.f64 2 (/.f64 b (*.f64 a a)) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 2 (/.f64 (*.f64 a a) b)) (/.f64 b a))
(*.f64 (/.f64 b a) (+.f64 (/.f64 2 a) -1))
(+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 b (pow.f64 a 3))) (*.f64 -1 (/.f64 b a))))
(fma.f64 2 (/.f64 b (*.f64 a a)) (fma.f64 -4 (/.f64 b (pow.f64 a 3)) (neg.f64 (/.f64 b a))))
(fma.f64 2 (/.f64 b (*.f64 a a)) (-.f64 (/.f64 (*.f64 b -4) (pow.f64 a 3)) (/.f64 b a)))
(-.f64 (*.f64 (/.f64 b (*.f64 a a)) (+.f64 2 (/.f64 -4 a))) (/.f64 b a))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 b (pow.f64 a 3))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 8 (/.f64 b (pow.f64 a 4)) (fma.f64 2 (/.f64 b (*.f64 a a)) (fma.f64 -4 (/.f64 b (pow.f64 a 3)) (neg.f64 (/.f64 b a)))))
(fma.f64 8 (/.f64 b (pow.f64 a 4)) (fma.f64 2 (/.f64 b (*.f64 a a)) (-.f64 (/.f64 (*.f64 b -4) (pow.f64 a 3)) (/.f64 b a))))
(fma.f64 8 (/.f64 b (pow.f64 a 4)) (-.f64 (*.f64 (/.f64 b (*.f64 a a)) (+.f64 2 (/.f64 -4 a))) (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))
(fma.f64 2 (/.f64 b (*.f64 a a)) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 2 (/.f64 (*.f64 a a) b)) (/.f64 b a))
(*.f64 (/.f64 b a) (+.f64 (/.f64 2 a) -1))
(+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 b (pow.f64 a 3))) (*.f64 -1 (/.f64 b a))))
(fma.f64 2 (/.f64 b (*.f64 a a)) (fma.f64 -4 (/.f64 b (pow.f64 a 3)) (neg.f64 (/.f64 b a))))
(fma.f64 2 (/.f64 b (*.f64 a a)) (-.f64 (/.f64 (*.f64 b -4) (pow.f64 a 3)) (/.f64 b a)))
(-.f64 (*.f64 (/.f64 b (*.f64 a a)) (+.f64 2 (/.f64 -4 a))) (/.f64 b a))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 b (pow.f64 a 3))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 8 (/.f64 b (pow.f64 a 4)) (fma.f64 2 (/.f64 b (*.f64 a a)) (fma.f64 -4 (/.f64 b (pow.f64 a 3)) (neg.f64 (/.f64 b a)))))
(fma.f64 8 (/.f64 b (pow.f64 a 4)) (fma.f64 2 (/.f64 b (*.f64 a a)) (-.f64 (/.f64 (*.f64 b -4) (pow.f64 a 3)) (/.f64 b a))))
(fma.f64 8 (/.f64 b (pow.f64 a 4)) (-.f64 (*.f64 (/.f64 b (*.f64 a a)) (+.f64 2 (/.f64 -4 a))) (/.f64 b a)))
(/.f64 (exp.f64 a) (+.f64 2 a))
(/.f64 (exp.f64 a) (+.f64 a 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2)))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 a 2) 2))
(/.f64 (*.f64 (exp.f64 a) (neg.f64 b)) (pow.f64 (+.f64 a 2) 2))
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (neg.f64 b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2)))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 a 2) 2))
(/.f64 (*.f64 (exp.f64 a) (neg.f64 b)) (pow.f64 (+.f64 a 2) 2))
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (neg.f64 b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 a 2) 2) b)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))
(*.f64 1/2 (fma.f64 -1/2 b 1))
(+.f64 1/2 (*.f64 b -1/4))
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))
(fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/2 (fma.f64 -1/2 b 1)))
(fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (+.f64 1/2 (*.f64 b -1/4)))
(fma.f64 a (+.f64 (+.f64 1/2 (*.f64 b -1/8)) (+.f64 (*.f64 1/8 b) -1/4)) (+.f64 1/2 (*.f64 b -1/4)))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))))
(fma.f64 (*.f64 a a) (*.f64 1/2 (-.f64 (fma.f64 -1/8 b (fma.f64 1/4 b (*.f64 1/2 (fma.f64 -1/2 b 1)))) (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))))) (fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/2 (fma.f64 -1/2 b 1))))
(fma.f64 (*.f64 a a) (*.f64 1/2 (-.f64 (+.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 1/8 b)) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (+.f64 1/2 (*.f64 b -1/4))))
(fma.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 b -1/16) 1/4) (+.f64 (+.f64 (*.f64 b -1/16) 1/4) (+.f64 -1/8 (*.f64 b 1/16)))) (fma.f64 a (+.f64 (+.f64 1/2 (*.f64 b -1/8)) (+.f64 (*.f64 1/8 b) -1/4)) (+.f64 1/2 (*.f64 b -1/4))))
(+.f64 (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 1/16 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/6 (+.f64 (*.f64 -1/2 b) 1)))))) (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))
(fma.f64 (pow.f64 a 3) (*.f64 1/2 (-.f64 (fma.f64 1/8 b (fma.f64 1/16 b (fma.f64 -1/8 b (*.f64 (fma.f64 -1/2 b 1) 1/6)))) (*.f64 1/2 (-.f64 (fma.f64 -1/8 b (fma.f64 1/4 b (*.f64 1/2 (fma.f64 -1/2 b 1)))) (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))))))) (fma.f64 (*.f64 a a) (*.f64 1/2 (-.f64 (fma.f64 -1/8 b (fma.f64 1/4 b (*.f64 1/2 (fma.f64 -1/2 b 1)))) (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))))) (fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/2 (fma.f64 -1/2 b 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/2 (+.f64 (fma.f64 b -1/8 (+.f64 1/6 (*.f64 b -1/12))) (*.f64 b 3/16)) (*.f64 -1/4 (-.f64 (+.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 1/8 b)) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4))))) (fma.f64 (*.f64 a a) (*.f64 1/2 (-.f64 (+.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 1/8 b)) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (+.f64 1/2 (*.f64 b -1/4)))))
(fma.f64 (pow.f64 a 3) (*.f64 1/2 (+.f64 (-.f64 (fma.f64 1/8 b (+.f64 (*.f64 b -7/48) 1/6)) (+.f64 (*.f64 b -1/16) 1/4)) (+.f64 (+.f64 (*.f64 b -1/16) 1/4) (+.f64 -1/8 (*.f64 b 1/16))))) (fma.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 b -1/16) 1/4) (+.f64 (+.f64 (*.f64 b -1/16) 1/4) (+.f64 -1/8 (*.f64 b 1/16)))) (fma.f64 a (+.f64 (+.f64 1/2 (*.f64 b -1/8)) (+.f64 (*.f64 1/8 b) -1/4)) (+.f64 1/2 (*.f64 b -1/4)))))
(/.f64 (exp.f64 a) a)
(-.f64 (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2)))) (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))))
(+.f64 (/.f64 (exp.f64 a) a) (-.f64 (neg.f64 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b))) (*.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)))))
(+.f64 (/.f64 -2 (/.f64 (*.f64 a a) (exp.f64 a))) (-.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b))))
(+.f64 (/.f64 (exp.f64 a) a) (/.f64 (*.f64 (exp.f64 a) (-.f64 (neg.f64 b) 2)) (*.f64 a a)))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 3))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2))))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))) (pow.f64 a 3)))))
(-.f64 (fma.f64 2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) b)) (+.f64 (/.f64 (exp.f64 a) a) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b))))) (*.f64 2 (+.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (*.f64 -2 (exp.f64 a))) (pow.f64 a 3)))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) b)) (/.f64 (exp.f64 a) a)) (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b))) (*.f64 -2 (+.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) b (*.f64 (exp.f64 a) -2)) (pow.f64 a 3)))))
(+.f64 (/.f64 (exp.f64 a) a) (+.f64 (/.f64 (fma.f64 (exp.f64 a) b (*.f64 (exp.f64 a) (+.f64 b 2))) (/.f64 (pow.f64 a 3) 2)) (/.f64 (*.f64 (exp.f64 a) (-.f64 (neg.f64 b) 2)) (*.f64 a a))))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 3))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2)))))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 2 (*.f64 (exp.f64 a) b)) (*.f64 2 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))))) (pow.f64 a 4))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))) (pow.f64 a 3))))))
(-.f64 (fma.f64 -4 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 4) b)) (fma.f64 2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) b)) (+.f64 (/.f64 (exp.f64 a) a) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b)))))) (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (*.f64 2 (+.f64 (/.f64 (*.f64 2 (-.f64 (*.f64 (exp.f64 a) b) (+.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (*.f64 -2 (exp.f64 a))))) (pow.f64 a 4)) (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (*.f64 -2 (exp.f64 a))) (pow.f64 a 3))))))
(-.f64 (fma.f64 -4 (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 4)) b) (-.f64 (fma.f64 2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) b)) (/.f64 (exp.f64 a) a)) (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b)))) (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (fma.f64 2 (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) b (*.f64 (exp.f64 a) -2)) (pow.f64 a 3)) (/.f64 (*.f64 4 (-.f64 (*.f64 (exp.f64 a) b) (fma.f64 (neg.f64 (exp.f64 a)) b (*.f64 (exp.f64 a) -2)))) (pow.f64 a 4)))))
(+.f64 (+.f64 (/.f64 (exp.f64 a) a) (+.f64 (*.f64 (*.f64 (/.f64 b (*.f64 a a)) (exp.f64 a)) (+.f64 -1 (/.f64 -4 (*.f64 a a)))) (*.f64 (*.f64 (/.f64 -2 a) (/.f64 (fma.f64 (exp.f64 a) b (*.f64 (exp.f64 a) (+.f64 b 2))) a)) (-.f64 (/.f64 -1 a) (/.f64 -2 (*.f64 a a)))))) (*.f64 (/.f64 -2 (*.f64 a a)) (exp.f64 a)))
(/.f64 (exp.f64 a) a)
(-.f64 (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2)))) (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))))
(+.f64 (/.f64 (exp.f64 a) a) (-.f64 (neg.f64 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b))) (*.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)))))
(+.f64 (/.f64 -2 (/.f64 (*.f64 a a) (exp.f64 a))) (-.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b))))
(+.f64 (/.f64 (exp.f64 a) a) (/.f64 (*.f64 (exp.f64 a) (-.f64 (neg.f64 b) 2)) (*.f64 a a)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (*.f64 (exp.f64 a) b)) (*.f64 -2 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))))) (pow.f64 a 3))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2))))) (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))))
(-.f64 (fma.f64 2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) b)) (+.f64 (/.f64 (exp.f64 a) a) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b))))) (*.f64 2 (+.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (*.f64 -2 (exp.f64 a))) (pow.f64 a 3)))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) b)) (/.f64 (exp.f64 a) a)) (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b))) (*.f64 -2 (+.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) b (*.f64 (exp.f64 a) -2)) (pow.f64 a 3)))))
(+.f64 (/.f64 (exp.f64 a) a) (+.f64 (/.f64 (fma.f64 (exp.f64 a) b (*.f64 (exp.f64 a) (+.f64 b 2))) (/.f64 (pow.f64 a 3) 2)) (/.f64 (*.f64 (exp.f64 a) (-.f64 (neg.f64 b) 2)) (*.f64 a a))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (*.f64 (exp.f64 a) b)) (*.f64 -2 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))))) (pow.f64 a 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 4))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 a 2)))))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -2 (*.f64 (exp.f64 a) b)) (*.f64 -2 (-.f64 (*.f64 -1 (*.f64 (exp.f64 a) b)) (*.f64 2 (exp.f64 a))))) (pow.f64 a 4))) (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))))
(-.f64 (fma.f64 -4 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 4) b)) (fma.f64 2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) b)) (+.f64 (/.f64 (exp.f64 a) a) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b)))))) (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (*.f64 2 (+.f64 (/.f64 (*.f64 2 (-.f64 (*.f64 (exp.f64 a) b) (+.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (*.f64 -2 (exp.f64 a))))) (pow.f64 a 4)) (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (*.f64 -2 (exp.f64 a))) (pow.f64 a 3))))))
(-.f64 (fma.f64 -4 (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 4)) b) (-.f64 (fma.f64 2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) b)) (/.f64 (exp.f64 a) a)) (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) b)))) (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (fma.f64 2 (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) b (*.f64 (exp.f64 a) -2)) (pow.f64 a 3)) (/.f64 (*.f64 4 (-.f64 (*.f64 (exp.f64 a) b) (fma.f64 (neg.f64 (exp.f64 a)) b (*.f64 (exp.f64 a) -2)))) (pow.f64 a 4)))))
(+.f64 (+.f64 (/.f64 (exp.f64 a) a) (+.f64 (*.f64 (*.f64 (/.f64 b (*.f64 a a)) (exp.f64 a)) (+.f64 -1 (/.f64 -4 (*.f64 a a)))) (*.f64 (*.f64 (/.f64 -2 a) (/.f64 (fma.f64 (exp.f64 a) b (*.f64 (exp.f64 a) (+.f64 b 2))) a)) (-.f64 (/.f64 -1 a) (/.f64 -2 (*.f64 a a)))))) (*.f64 (/.f64 -2 (*.f64 a a)) (exp.f64 a)))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)
0.0b
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
0.0b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
0.8b
(cbrt.f64 (log1p.f64 (exp.f64 b)))
Compiler

Compiled 38 to 15 computations (60.5% saved)

series61.0ms (0.9%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
19.0ms
b
@inf
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
17.0ms
b
@-inf
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
6.0ms
b
@0
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
4.0ms
b
@0
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
2.0ms
b
@inf
(cbrt.f64 (log1p.f64 (exp.f64 b)))

rewrite68.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
683×pow1_binary64
630×add-log-exp_binary64
630×expm1-log1p-u_binary64
629×log1p-expm1-u_binary64
613×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
117435
2185235
Stop Event
node limit
Counts
4 → 77
Calls
Call 1
Inputs
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 b) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) 2) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))))))

simplify80.0ms (1.2%)

Algorithm
egg-herbie
Rules
934×distribute-lft-in_binary64
934×distribute-rgt-in_binary64
795×associate-+r+_binary64
768×associate-+l+_binary64
205×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01743066
15983012
223752957
Stop Event
node limit
Counts
125 → 116
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 b 2))))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 b 3)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 b 2)))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(pow.f64 2 (pow.f64 1 1/3))
(+.f64 (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (*.f64 b (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (pow.f64 2 (pow.f64 1 1/3)))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (pow.f64 b 2))) (+.f64 (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (*.f64 b (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (pow.f64 2 (pow.f64 1 1/3))))
(+.f64 (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (*.f64 -1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 3)) (*.f64 1/6 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))))) (+.f64 (*.f64 2/27 (pow.f64 (*.f64 1 (log.f64 2)) 1/3)) (*.f64 6 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (*.f64 1/162 (pow.f64 (*.f64 1 (log.f64 2)) 1/3))))))))))))))) (pow.f64 b 3))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (pow.f64 b 2))) (+.f64 (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (*.f64 b (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (pow.f64 2 (pow.f64 1 1/3)))))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 3) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 3) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 3) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 3) 1/3))
(pow.f64 (+.f64 1 (exp.f64 b)) (pow.f64 1 1/3))
(pow.f64 (+.f64 1 (exp.f64 b)) (pow.f64 1 1/3))
(pow.f64 (+.f64 1 (exp.f64 b)) (pow.f64 1 1/3))
(pow.f64 (+.f64 1 (exp.f64 b)) (pow.f64 1 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3))
(+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) (*.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) b))))
(+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) (*.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) b))) (*.f64 (+.f64 (*.f64 1/18 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (*.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (pow.f64 b 2)))))
(+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) (*.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) b))) (+.f64 (*.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (*.f64 1/162 (pow.f64 (*.f64 1 (log.f64 2)) 1/3))))))) (*.f64 (+.f64 (*.f64 1/18 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (*.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3)) (pow.f64 b 2))))))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3))
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) b)))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) b)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 b 2))))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) b)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 b 2)) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))) (pow.f64 b 3)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)))
(+.f64 (*.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) b)) (cbrt.f64 (log.f64 2)))
(fma.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) b)) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 b 2))))))
(+.f64 (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) b) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (-.f64 1/8 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 b b))))) (cbrt.f64 (log.f64 2)))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) b)) (cbrt.f64 (log.f64 2))) (*.f64 (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12))) (*.f64 b b)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 b 3)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 b 2)))))))
(+.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (fma.f64 1/3 (*.f64 (-.f64 1/8 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (pow.f64 b 3))) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) b) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (-.f64 1/8 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 b b)))))) (cbrt.f64 (log.f64 2)))
(+.f64 (fma.f64 -1/3 (*.f64 (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (*.f64 (pow.f64 b 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (fma.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) b)) (*.f64 (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12))) (*.f64 b b)))) (cbrt.f64 (log.f64 2)))
(+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 -1/3 (*.f64 (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (pow.f64 b 3))) (*.f64 1/3 (*.f64 b (*.f64 b (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12))))))) (fma.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) b)) (cbrt.f64 (log.f64 2))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 2 (pow.f64 1 1/3))
2
(+.f64 (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (*.f64 b (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (pow.f64 2 (pow.f64 1 1/3)))
(fma.f64 2 (*.f64 b (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2)) 2)
(fma.f64 2 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (*.f64 1/2 b)) 2)
(fma.f64 2 (*.f64 b (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) 1/2))) 2)
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/18 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))))))))) (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (pow.f64 b 2))) (+.f64 (*.f64 (pow.f64 2 (pow.f64 1 1/3)) (*.f64 b (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (pow.f64 2 (pow.f64 1 1/3))))
(fma.f64 (fma.f64 1/2 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2) 2) (+.f64 (*.f64 1/3 (-.f64 1/8 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))))) (fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (*.f64 1/2 (*.f64 (cbrt.f64 (log.f64 2)) (fma.f64 -1/9 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (*.f64 2 (fma.f64 2/3 (*.f64 (-.f64 1/8 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 2)))) (fma.f64 1/18 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))))))))))) (*.f64 2 (*.f64 b b)) (fma.f64 2 (*.f64 b (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2)) 2))
(fma.f64 (fma.f64 1/2 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2) 2) (fma.f64 1/3 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) 1/18 (*.f64 1/2 (*.f64 (cbrt.f64 (log.f64 2)) (fma.f64 2 (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))) (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (fma.f64 1/18 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (*.f64 -1/9 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))))))))) (*.f64 2 (*.f64 b b)) (fma.f64 2 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (*.f64 1/2 b)) 2))
(fma.f64 (fma.f64 1/2 (pow.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) 1/2)) 2) (fma.f64 1/3 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) 1/18 (*.f64 1/2 (*.f64 (cbrt.f64 (log.f64 2)) (fma.f64 2 (fma.f64 1/18 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (fma.f64 2/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (*.f64 -1/9 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))))))))) (*.f64 2 (*.f64 b b)) (fma.f64 2 (*.f64 b (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) 1/2))) 2))
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(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/3 (*.f64 b (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (fma.f64 (fma.f64 2/3 (*.f64 (-.f64 1/8 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (*.f64 b b) (*.f64 (pow.f64 b 3) (fma.f64 1/9 (*.f64 (-.f64 1/8 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (-.f64 1/8 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (cbrt.f64 (/.f64 1 (log.f64 2))))))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/3 (*.f64 b (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (fma.f64 (*.f64 b b) (fma.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))))) (*.f64 (pow.f64 b 3) (fma.f64 1/9 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) -2/3)))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/3 (*.f64 b (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (*.f64 (*.f64 b b) (+.f64 (fma.f64 2/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (*.f64 (fma.f64 -2/3 (*.f64 (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18)))) b)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))

eval645.0ms (9.5%)

Compiler

Compiled 29366 to 17519 computations (40.3% saved)

prune121.0ms (1.8%)

Pruning

15 alts after pruning (4 fresh and 11 done)

PrunedKeptTotal
New7132715
Fresh224
Picked101
Done21113
Total71815733
Error
0b
Counts
733 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
51.8b
(*.f64 1/480 (pow.f64 a 5))
1.9b
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
11.6b
(/.f64 1 (+.f64 1 (exp.f64 b)))
41.4b
(+.f64 1/2 (*.f64 -1/4 b))
40.1b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
41.1b
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
40.2b
1/2
1.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
22.9b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
33.4b
(exp.f64 a)
23.6b
(/.f64 (exp.f64 a) 2)
40.2b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
11.6b
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
40.0b
(+.f64 1/2 (*.f64 1/4 a))
48.8b
1
Compiler

Compiled 130 to 105 computations (19.2% saved)

regimes111.0ms (1.6%)

Counts
27 → 1
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) 2)
(*.f64 1/480 (pow.f64 a 5))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Calls

7 calls:

29.0ms
a
28.0ms
b
8.0ms
(exp.f64 b)
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.8b1a
0.8b1b
0.8b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.8b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.8b1(exp.f64 a)
0.8b1(exp.f64 a)
0.8b1(exp.f64 b)
Compiler

Compiled 265 to 156 computations (41.1% saved)

regimes84.0ms (1.2%)

Counts
23 → 1
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) 2)
(*.f64 1/480 (pow.f64 a 5))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

25.0ms
b
25.0ms
a
8.0ms
(exp.f64 b)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.0b1a
1.0b1b
1.0b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0b1(exp.f64 a)
1.0b1(exp.f64 b)
Compiler

Compiled 194 to 126 computations (35.1% saved)

regimes80.0ms (1.2%)

Counts
20 → 3
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) 2)
(*.f64 1/480 (pow.f64 a 5))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
Outputs
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
Calls

5 calls:

31.0ms
b
14.0ms
(exp.f64 b)
12.0ms
a
4.0ms
(exp.f64 a)
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.9b1a
0.7b3b
1.9b1(exp.f64 a)
1.9b1(exp.f64 a)
0.7b3(exp.f64 b)
Compiler

Compiled 151 to 107 computations (29.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000002045
0.0ms
0.9999999999938234
1.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes59.0ms (0.9%)

Counts
19 → 3
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) 2)
(*.f64 1/480 (pow.f64 a 5))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
Calls

5 calls:

29.0ms
b
11.0ms
a
7.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.9b1a
0.7b3b
1.9b1(exp.f64 a)
1.9b1(exp.f64 a)
0.7b3(exp.f64 b)
Compiler

Compiled 143 to 101 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000002045
0.0ms
0.9999999999938234
1.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes65.0ms (1%)

Counts
15 → 3
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) 2)
(*.f64 1/480 (pow.f64 a 5))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

25.0ms
b
17.0ms
a
6.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.4b2a
0.8b3b
1.5b2(exp.f64 a)
0.8b3(exp.f64 b)
Compiler

Compiled 102 to 73 computations (28.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
275803081221729.63
7.446191064208864e+129
0.0ms
0.9999999999938234
1.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes58.0ms (0.9%)

Counts
14 → 3
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) 2)
(*.f64 1/480 (pow.f64 a 5))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

5 calls:

22.0ms
b
16.0ms
a
7.0ms
(exp.f64 b)
6.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.4b2a
1.1b3b
1.6b2(exp.f64 a)
1.1b3(exp.f64 b)
1.1b3(exp.f64 b)
Compiler

Compiled 99 to 73 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0007368714887475
46.0989619906301
0.0ms
0.9589500772871852
0.9999999999938234
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes53.0ms (0.8%)

Counts
13 → 2
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) 2)
(*.f64 1/480 (pow.f64 a 5))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
Outputs
(exp.f64 a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

24.0ms
b
15.0ms
a
6.0ms
(exp.f64 b)
5.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.4b2a
1.6b3b
1.6b2(exp.f64 a)
1.6b3(exp.f64 b)
Compiler

Compiled 80 to 61 computations (23.8% saved)

bsearch49.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
-34973159879872.094
-127973083611.9863
Compiler

Compiled 127 to 106 computations (16.5% saved)

regimes67.0ms (1%)

Counts
11 → 5
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) 2)
(*.f64 1/480 (pow.f64 a 5))
Outputs
1
(/.f64 (exp.f64 a) 2)
(*.f64 1/480 (pow.f64 a 5))
(/.f64 (exp.f64 a) 2)
(*.f64 1/480 (pow.f64 a 5))
Calls

4 calls:

35.0ms
b
19.0ms
a
6.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
22.0b3a
10.0b5b
23.6b1(exp.f64 a)
11.6b3(exp.f64 b)
Compiler

Compiled 63 to 48 computations (23.8% saved)

bsearch83.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
5.0837819356448383e+179
5.583078039835805e+180
19.0ms
7.394218179557499e+119
8.68787722414173e+127
18.0ms
2.2314268464299986e+53
5.350728282305075e+57
26.0ms
-21571712566094254000.0
-0.14353573747606094
Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes33.0ms (0.5%)

Counts
10 → 2
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) 2)
Outputs
1
(/.f64 (exp.f64 a) 2)
Calls

4 calls:

13.0ms
b
8.0ms
a
4.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
23.6b1a
15.6b2b
23.6b1(exp.f64 a)
15.6b2(exp.f64 b)
Compiler

Compiled 58 to 44 computations (24.1% saved)

bsearch26.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
-21571712566094254000.0
-0.14353573747606094
Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes67.0ms (1%)

Counts
9 → 2
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
Outputs
(exp.f64 a)
(+.f64 1/2 (*.f64 1/4 a))
Calls

6 calls:

31.0ms
b
13.0ms
a
5.0ms
(exp.f64 b)
5.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
23.1b2a
23.7b5b
23.2b2(exp.f64 a)
23.2b2(exp.f64 a)
24.8b3(exp.f64 b)
24.8b3(exp.f64 b)
Compiler

Compiled 62 to 48 computations (22.6% saved)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
-3.361888512428888e-21
-2.0395299424395173e-22
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes25.0ms (0.4%)

Counts
7 → 2
Calls
Call 1
Inputs
1
1/2
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
Outputs
1
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a)))
Calls

2 calls:

12.0ms
a
11.0ms
b
Results
ErrorSegmentsBranch
39.0b2a
31.9b2b
Compiler

Compiled 40 to 32 computations (20% saved)

bsearch27.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
-21571712566094254000.0
-0.14353573747606094
Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes24.0ms (0.3%)

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

2 calls:

11.0ms
a
10.0ms
b
Results
ErrorSegmentsBranch
39.0b2a
32.0b2b
Compiler

Compiled 26 to 21 computations (19.2% saved)

bsearch28.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
-21571712566094254000.0
-0.14353573747606094
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes15.0ms (0.2%)

Accuracy

Total -24.7b remaining (-76.4%)

Threshold costs -24.7b (-76.4%)

Counts
3 → 2
Calls
Call 1
Inputs
1
1/2
1/2
Outputs
1
1/2
Calls

2 calls:

10.0ms
b
4.0ms
a
Results
ErrorSegmentsBranch
40.2b1a
32.3b2b
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch45.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
-21571712566094254000.0
-0.14353573747606094
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify37.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
074382
195378
2103378
3108378
4110378
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 1) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 500000000000000) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 17708874310761168896/18446744073709551616) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2) (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 a -34500000000000) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -7650074094627532800/4294967296) 1 (if (<=.f64 b 223142684642999864630105610192373713490159859612516352) (/.f64 (exp.f64 a) 2) (if (<=.f64 b 739421817955749891878359626541721407514630965281692522792475810068987223170158935843226967483654565574451375514476085248) (*.f64 1/480 (pow.f64 a 5)) (if (<=.f64 b 508378193564483833791261139648184274657505157626989061147344755891513734659266506218000856659511925123325323899942096615029155415390891930334013732839996941316426265189274504658944) (/.f64 (exp.f64 a) 2) (*.f64 1/480 (pow.f64 a 5))))))
(if (<=.f64 b -7650074094627532800/4294967296) 1 (/.f64 (exp.f64 a) 2))
(if (<=.f64 a -1143991380333614848/340282366920938463463374607431768211456) (exp.f64 a) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 b -7650074094627532800/4294967296) 1 (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))))
(if (<=.f64 b -7650074094627532800/4294967296) 1 (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 b -7650074094627532800/4294967296) 1 1/2)
1
Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 1) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(if (<=.f64 (exp.f64 b) 1) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 2) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 500000000000000) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 500000000000000) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 (exp.f64 b) 17708874310761168896/18446744073709551616) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2) (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 1080863910568919/1125899906842624) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 2) (*.f64 (+.f64 1 (/.f64 (neg.f64 b) (+.f64 a 2))) (/.f64 (exp.f64 a) (+.f64 a 2))) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 (exp.f64 b) 1080863910568919/1125899906842624) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 2) (*.f64 (-.f64 1 (/.f64 b (+.f64 a 2))) (/.f64 (exp.f64 a) (+.f64 a 2))) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 a -34500000000000) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -34500000000000) (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b -7650074094627532800/4294967296) 1 (if (<=.f64 b 223142684642999864630105610192373713490159859612516352) (/.f64 (exp.f64 a) 2) (if (<=.f64 b 739421817955749891878359626541721407514630965281692522792475810068987223170158935843226967483654565574451375514476085248) (*.f64 1/480 (pow.f64 a 5)) (if (<=.f64 b 508378193564483833791261139648184274657505157626989061147344755891513734659266506218000856659511925123325323899942096615029155415390891930334013732839996941316426265189274504658944) (/.f64 (exp.f64 a) 2) (*.f64 1/480 (pow.f64 a 5))))))
(if (<=.f64 b -1867693870758675/1048576) 1 (if (<=.f64 b 223142684642999864630105610192373713490159859612516352) (/.f64 (exp.f64 a) 2) (if (<=.f64 b 739421817955749891878359626541721407514630965281692522792475810068987223170158935843226967483654565574451375514476085248) (*.f64 1/480 (pow.f64 a 5)) (if (<=.f64 b 508378193564483833791261139648184274657505157626989061147344755891513734659266506218000856659511925123325323899942096615029155415390891930334013732839996941316426265189274504658944) (/.f64 (exp.f64 a) 2) (*.f64 1/480 (pow.f64 a 5))))))
(if (<=.f64 b -7650074094627532800/4294967296) 1 (/.f64 (exp.f64 a) 2))
(if (<=.f64 b -1867693870758675/1048576) 1 (/.f64 (exp.f64 a) 2))
(if (<=.f64 a -1143991380333614848/340282366920938463463374607431768211456) (exp.f64 a) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 a -4468716329428183/1329227995784915872903807060280344576) (exp.f64 a) (+.f64 1/2 (*.f64 a 1/4)))
(if (<=.f64 b -7650074094627532800/4294967296) 1 (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))))
(if (<=.f64 b -1867693870758675/1048576) 1 (*.f64 (+.f64 1 (/.f64 (neg.f64 b) (+.f64 a 2))) (+.f64 1/2 (*.f64 a 1/4))))
(if (<=.f64 b -1867693870758675/1048576) 1 (*.f64 (-.f64 1 (/.f64 b (+.f64 a 2))) (+.f64 1/2 (*.f64 a 1/4))))
(if (<=.f64 b -7650074094627532800/4294967296) 1 (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 b -1867693870758675/1048576) 1 (+.f64 1/2 (*.f64 a 1/4)))
(if (<=.f64 b -7650074094627532800/4294967296) 1 1/2)
(if (<=.f64 b -1867693870758675/1048576) 1 1/2)
1
Compiler

Compiled 278 to 200 computations (28.1% saved)

soundness0.0ms (0%)

end168.0ms (2.5%)

Compiler

Compiled 252 to 157 computations (37.7% saved)

Profiling

Loading profile data...