Details

Time bar (total: 4.7s)

analyze56.0ms (1.2%)

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)

sample921.0ms (19.5%)

Results
887.0ms8256×body256valid
21.0ms182×body256invalid

preprocess18.0ms (0.4%)

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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.2%)

Counts
2 → 16
Calls

12 calls:

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

rewrite66.0ms (1.4%)

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 (1.2%)

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)))

eval29.0ms (0.6%)

Compiler

Compiled 1902 to 915 computations (51.9% saved)

prune18.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New89594
Fresh000
Picked101
Done000
Total90595
Error
0b
Counts
95 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
21.4b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
13.5b
(/.f64 1 (+.f64 1 (exp.f64 b)))
0.3b
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
22.9b
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
Compiler

Compiled 118 to 84 computations (28.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 31 to 11 computations (64.5% saved)

series7.0ms (0.2%)

Counts
2 → 32
Calls

12 calls:

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

rewrite72.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
926×pow1_binary64
857×add-log-exp_binary64
857×log1p-expm1-u_binary64
857×expm1-log1p-u_binary64
837×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
118124
2237824
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 1 (+.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 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 a) -1) (neg.f64 (+.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 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 cbrt.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3) (pow.f64 (exp.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (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 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.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 1 (-.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) (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) 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 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))

simplify188.0ms (4%)

Algorithm
egg-herbie
Rules
671×cancel-sign-sub-inv_binary64
500×fma-neg_binary64
420×fma-def_binary64
259×sub-neg_binary64
226×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01051167
13161142
29821114
347101081
Stop Event
node limit
Counts
78 → 74
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 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3)) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)) (*.f64 -1 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) (pow.f64 b 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)) (*.f64 -1 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 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 a 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.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 (+.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) (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 (+.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 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.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 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (fma.f64 1/2 (-.f64 (/.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 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
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(fma.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b) (neg.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(+.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (fma.f64 (pow.f64 b 3) (-.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (-.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 b (*.f64 b (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(-.f64 (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (-.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 b (*.f64 b (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 a))))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 10 computations (37.5% saved)

series3.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite58.0ms (1.2%)

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
0615
112415
2156715
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 b))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.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))))))))

simplify152.0ms (3.2%)

Algorithm
egg-herbie
Rules
1173×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
02781
16975
217671
350667
4122166
5210364
6308964
7338264
8362564
9393464
10428164
11474164
12530864
13601164
14687764
15734964
16779664
Stop Event
node limit
Counts
65 → 70
Calls
Call 1
Inputs
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
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
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (fma.f64 b (*.f64 b 1/2) b))
(fma.f64 (fma.f64 b 1/2 1) b 2)
(fma.f64 b (fma.f64 b 1/2 1) 2)
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 b (*.f64 b 1/2) b)))
(fma.f64 1/6 (pow.f64 b 3) (fma.f64 (fma.f64 b 1/2 1) b 2))
(+.f64 2 (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) b))
(fma.f64 b (fma.f64 b (fma.f64 b 1/6 1/2) 1) 2)
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 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 b -1/4)))
(+.f64 1/2 (fma.f64 b -1/4 (*.f64 (pow.f64 b 3) 1/48)))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 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 b -1/4))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 (*.f64 (pow.f64 b 3) 1/48))))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 1/2)))
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 1/2)))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 (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))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 9 computations (47.1% saved)

series3.0ms (0.1%)

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))

rewrite58.0ms (1.2%)

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)))))

simplify153.0ms (3.3%)

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)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 53 to 27 computations (49.1% saved)

series13.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

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

rewrite83.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
578×log-prod_binary64
460×prod-diff_binary64
292×fma-def_binary64
285×pow2_binary64
200×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
124232
2368032
Stop Event
node limit
Counts
2 → 147
Calls
Call 1
Inputs
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (fma.f64 -1 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 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simplify73.0ms (1.5%)

Algorithm
egg-herbie
Rules
834×fma-def_binary64
587×times-frac_binary64
440×associate-+l+_binary64
427×fma-neg_binary64
374×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0931260
13341155
21215913
35787821
Stop Event
node limit
Counts
195 → 170
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1/2 b)
(+.f64 (*.f64 -1/2 b) (*.f64 1/4 (*.f64 a b)))
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (*.f64 1/4 (*.f64 a b))))
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))))))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.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))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
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(+.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 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
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(+.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))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.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 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.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 1/8 (+.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 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.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 1/8 (+.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 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/4 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 1/4 b))))) (+.f64 (*.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 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/4 (-.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 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
Outputs
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1/2 b)
(*.f64 b -1/2)
(+.f64 (*.f64 -1/2 b) (*.f64 1/4 (*.f64 a b)))
(fma.f64 -1/2 b (*.f64 1/4 (*.f64 b a)))
(*.f64 b (+.f64 -1/2 (*.f64 a 1/4)))
(*.f64 b (fma.f64 a 1/4 -1/2))
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (*.f64 1/4 (*.f64 a b))))
(fma.f64 -1/2 b (*.f64 1/4 (*.f64 b a)))
(*.f64 b (+.f64 -1/2 (*.f64 a 1/4)))
(*.f64 b (fma.f64 a 1/4 -1/2))
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))))))))
(fma.f64 -1/2 b (fma.f64 (*.f64 b 0) (*.f64 a a) (fma.f64 1/4 (*.f64 b a) (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 -1/2 (*.f64 b 0))))))))
(fma.f64 b -1/2 (fma.f64 (*.f64 a a) 0 (fma.f64 1/4 (*.f64 b a) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(+.f64 (*.f64 b (fma.f64 a 1/4 -1/2)) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))
(/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 b))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))
(/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 b))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(*.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))
(fma.f64 b -1/4 1/2)
(+.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 b 1/4))) (*.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 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (+.f64 1/2 (*.f64 b -1/4)))
(fma.f64 a 1/4 (fma.f64 b -1/4 1/2))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.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 1/8 (+.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 (*.f64 1/2 (+.f64 (*.f64 b 0) (fma.f64 1/4 b (*.f64 1/2 (fma.f64 -1/2 b 1))))) (fma.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/8 (fma.f64 -1/2 b 1)))) (fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/2 (fma.f64 -1/2 b 1))))
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (-.f64 (+.f64 (fma.f64 b 1/4 0) (+.f64 1/2 (*.f64 b -1/4))) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (+.f64 1/8 (*.f64 b -1/16))) (fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (+.f64 1/2 (*.f64 b -1/4))))
(fma.f64 a 1/4 (fma.f64 (*.f64 a a) (fma.f64 b 1/16 0) (fma.f64 b -1/4 1/2)))
(fma.f64 (*.f64 a a) (*.f64 b 1/16) (fma.f64 a 1/4 (fma.f64 b -1/4 1/2)))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.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 1/8 (+.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 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/4 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 1/4 b))))) (+.f64 (*.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 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/4 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))))))))))
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (+.f64 (*.f64 b 0) (fma.f64 1/4 b (*.f64 1/2 (fma.f64 -1/2 b 1))))) (fma.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/8 (fma.f64 -1/2 b 1)))) (fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (fma.f64 1/2 (fma.f64 -1/2 b 1) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (fma.f64 -1/16 b (fma.f64 1/24 b (fma.f64 -1/8 b (fma.f64 1/6 (fma.f64 -1/2 b 1) (fma.f64 1/4 b (*.f64 -1/2 (*.f64 b 0)))))))) (fma.f64 1/24 (fma.f64 -1/2 b 1) (fma.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 b 0) (fma.f64 1/4 b (*.f64 1/2 (fma.f64 -1/2 b 1))))) (fma.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/8 (fma.f64 -1/2 b 1)))) (*.f64 1/4 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1)))))))))))
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (-.f64 (+.f64 (fma.f64 b 1/4 0) (+.f64 1/2 (*.f64 b -1/4))) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (+.f64 1/8 (*.f64 b -1/16))) (fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (fma.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (fma.f64 b -1/8 (fma.f64 (fma.f64 b -1/2 1) 1/6 (fma.f64 b 1/4 0))) (*.f64 b -1/48))) (fma.f64 1/24 (fma.f64 b -1/2 1) (fma.f64 1/2 (-.f64 (*.f64 1/2 (-.f64 (+.f64 (fma.f64 b 1/4 0) (+.f64 1/2 (*.f64 b -1/4))) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (+.f64 1/8 (*.f64 b -1/16))) (*.f64 1/4 (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))))) (+.f64 1/2 (*.f64 b -1/4)))))
(fma.f64 a 1/4 (fma.f64 a (*.f64 a (fma.f64 b 1/16 0)) (fma.f64 (pow.f64 a 3) (fma.f64 1/2 (fma.f64 b -1/12 (+.f64 (fma.f64 b -1/12 1/6) (*.f64 b 3/16))) (-.f64 -1/16 (fma.f64 1/2 (fma.f64 b 1/16 0) (fma.f64 b -1/48 1/24)))) (fma.f64 b -1/4 1/2))))
(fma.f64 a 1/4 (fma.f64 a (*.f64 a (*.f64 b 1/16)) (fma.f64 (pow.f64 a 3) (fma.f64 b -1/32 (+.f64 (+.f64 (*.f64 1/2 (fma.f64 b -1/12 (fma.f64 b 1/4 (fma.f64 b -1/12 1/6)))) (*.f64 b -1/96)) -5/48)) (fma.f64 b -1/4 1/2))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))

localize13.0ms (0.3%)

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))))
2.7b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 36 to 8 computations (77.8% saved)

series160.0ms (3.4%)

Counts
3 → 36
Calls

18 calls:

TimeVariablePointExpression
69.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
32.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
30.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
a
@0
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite107.0ms (2.3%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 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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)))))))))

simplify61.0ms (1.3%)

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))))

eval322.0ms (6.8%)

Compiler

Compiled 18272 to 8959 computations (51% saved)

prune184.0ms (3.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New8627869
Fresh000
Picked101
Done224
Total8659874
Error
0b
Counts
874 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
38.1b
(+.f64 1/2 (*.f64 1/4 a))
40.0b
(+.f64 1/2 (*.f64 -1/4 b))
38.5b
1/2
30.9b
(exp.f64 a)
40.0b
(/.f64 1 (+.f64 2 b))
1.6b
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (exp.f64 a))
13.5b
(/.f64 1 (+.f64 1 (exp.f64 b)))
38.1b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
21.4b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Compiler

Compiled 118 to 98 computations (16.9% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 28 to 16 computations (42.9% saved)

localize6.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize6.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
619×pow1_binary64
580×add-log-exp_binary64
579×log1p-expm1-u_binary64
579×expm1-log1p-u_binary64
570×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
215857
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 b) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 b) -1/2) (pow.f64 (+.f64 2 b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 2 b)) -1) (pow.f64 (sqrt.f64 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b (-.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 b b))) (-.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 b))))))))

simplify57.0ms (1.2%)

Algorithm
egg-herbie
Rules
752×distribute-neg-frac_binary64
701×associate-*l*_binary64
700×fma-def_binary64
483×associate-*r*_binary64
415×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033183
188181
2217177
3577171
41835170
57178170
Stop Event
node limit
Counts
34 → 36
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))))
(fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2))
(fma.f64 b (fma.f64 b 1/8 -1/4) 1/2)
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 1/2))
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2)))
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 b (fma.f64 b 1/8 -1/4) 1/2))
(fma.f64 b (+.f64 -1/4 (*.f64 b (fma.f64 b -1/16 1/8))) 1/2)
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -8 (pow.f64 b 4)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -8 (pow.f64 b 4)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3)))))

localize3.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval31.0ms (0.7%)

Compiler

Compiled 1330 to 918 computations (31% saved)

prune20.0ms (0.4%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New1033106
Fresh022
Picked011
Done156
Total10411115
Error
0b
Counts
115 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
38.1b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
26.2b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
38.1b
(+.f64 1/2 (*.f64 1/4 a))
40.0b
(+.f64 1/2 (*.f64 -1/4 b))
38.5b
1/2
30.9b
(exp.f64 a)
61.8b
(/.f64 1 b)
21.4b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
40.0b
(/.f64 1 (+.f64 2 b))
24.1b
(*.f64 (/.f64 1 (+.f64 2 b)) (exp.f64 a))
13.5b
(/.f64 1 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 84 to 70 computations (16.7% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 16 computations (33.3% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite59.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
899×pow1_binary64
835×add-log-exp_binary64
834×log1p-expm1-u_binary64
834×expm1-log1p-u_binary64
819×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
11869
222869
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 2 b)) (exp.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 a) (+.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 2 b) (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 2 b) (sqrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 a)) (+.f64 (neg.f64 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 2 b))) (sqrt.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) 1) (+.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (exp.f64 a)) (+.f64 (neg.f64 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 a) -1) (+.f64 (neg.f64 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 2 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 b)) 3) (pow.f64 (exp.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (/.f64 1 (+.f64 2 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 2 b))))))))

simplify67.0ms (1.4%)

Algorithm
egg-herbie
Rules
865×distribute-lft-out_binary64
668×fma-def_binary64
618×associate-/l/_binary64
542×distribute-rgt-out_binary64
490×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057457
1147453
2359413
31029381
43715375
57336375
Stop Event
node limit
Counts
48 → 47
Calls
Call 1
Inputs
(*.f64 1/2 (exp.f64 a))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (*.f64 1/2 (exp.f64 a)))
(+.f64 (*.f64 1/8 (*.f64 (exp.f64 a) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (*.f64 1/2 (exp.f64 a))))
(+.f64 (*.f64 1/8 (*.f64 (exp.f64 a) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 1/2 (exp.f64 a)) (*.f64 -1/16 (*.f64 (exp.f64 a) (pow.f64 b 3))))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3))) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2)))))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3))) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2))))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3))) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2)))))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3))) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2))))))
(/.f64 1 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (/.f64 1 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 2 b))) (/.f64 1 (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 2 b))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 2 b))) (/.f64 1 (+.f64 2 b)))))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 2 b))
Outputs
(*.f64 1/2 (exp.f64 a))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (*.f64 1/2 (exp.f64 a)))
(fma.f64 -1/4 (*.f64 (exp.f64 a) b) (*.f64 1/2 (exp.f64 a)))
(fma.f64 1/2 (exp.f64 a) (*.f64 (exp.f64 a) (*.f64 b -1/4)))
(*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 (exp.f64 a) (fma.f64 -1/4 b 1/2))
(+.f64 (*.f64 1/8 (*.f64 (exp.f64 a) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (*.f64 1/2 (exp.f64 a))))
(fma.f64 1/8 (*.f64 (exp.f64 a) (*.f64 b b)) (fma.f64 -1/4 (*.f64 (exp.f64 a) b) (*.f64 1/2 (exp.f64 a))))
(fma.f64 1/8 (*.f64 (exp.f64 a) (*.f64 b b)) (fma.f64 1/2 (exp.f64 a) (*.f64 (exp.f64 a) (*.f64 b -1/4))))
(fma.f64 (exp.f64 a) (*.f64 (*.f64 1/8 b) b) (*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 -1/4 b))))
(*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b (+.f64 (*.f64 b 1/8) -1/4))))
(*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b (+.f64 -1/4 (*.f64 b 1/8)))))
(+.f64 (*.f64 1/8 (*.f64 (exp.f64 a) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 1/2 (exp.f64 a)) (*.f64 -1/16 (*.f64 (exp.f64 a) (pow.f64 b 3))))))
(fma.f64 1/8 (*.f64 (exp.f64 a) (*.f64 b b)) (fma.f64 -1/4 (*.f64 (exp.f64 a) b) (fma.f64 1/2 (exp.f64 a) (*.f64 -1/16 (*.f64 (exp.f64 a) (pow.f64 b 3))))))
(fma.f64 1/8 (*.f64 (exp.f64 a) (*.f64 b b)) (fma.f64 -1/4 (*.f64 (exp.f64 a) b) (fma.f64 1/2 (exp.f64 a) (*.f64 (pow.f64 b 3) (*.f64 (exp.f64 a) -1/16)))))
(+.f64 (*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 -1/4 b))) (*.f64 (exp.f64 a) (+.f64 (*.f64 -1/16 (pow.f64 b 3)) (*.f64 (*.f64 1/8 b) b))))
(*.f64 (exp.f64 a) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 b -1/16) 1/8)) (fma.f64 -1/4 b 1/2)))
(*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b (+.f64 -1/4 (*.f64 b (+.f64 1/8 (*.f64 b -1/16)))))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b))))
(fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b)) (/.f64 (exp.f64 a) b))
(*.f64 (+.f64 (/.f64 -2 b) 1) (/.f64 (exp.f64 a) b))
(*.f64 (/.f64 (exp.f64 a) b) (+.f64 1 (/.f64 -2 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3))) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2)))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3)) (*.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b)))))
(+.f64 (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b)) (/.f64 (exp.f64 a) b)) (/.f64 4 (/.f64 (pow.f64 b 3) (exp.f64 a))))
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 (/.f64 (exp.f64 a) (*.f64 b b)) (+.f64 -2 (/.f64 4 b))))
(fma.f64 (/.f64 (exp.f64 a) (*.f64 b b)) (+.f64 -2 (/.f64 4 b)) (/.f64 (exp.f64 a) b))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3))) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2))))))
(fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 b 4)) (+.f64 (/.f64 (exp.f64 a) b) (fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3)) (*.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b))))))
(+.f64 (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b)) (/.f64 4 (/.f64 (pow.f64 b 3) (exp.f64 a)))) (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 b 4)) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 b 4)) (*.f64 (/.f64 (exp.f64 a) (*.f64 b b)) (+.f64 -2 (/.f64 4 b)))))
(fma.f64 (+.f64 1 (/.f64 -2 b)) (/.f64 (exp.f64 a) b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 b 3)) (+.f64 4 (/.f64 -8 b))))
(*.f64 (/.f64 (exp.f64 a) b) (+.f64 (+.f64 (/.f64 -8 (pow.f64 b 3)) (+.f64 1 (/.f64 -2 b))) (/.f64 4 (*.f64 b b))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b))))
(fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b)) (/.f64 (exp.f64 a) b))
(*.f64 (+.f64 (/.f64 -2 b) 1) (/.f64 (exp.f64 a) b))
(*.f64 (/.f64 (exp.f64 a) b) (+.f64 1 (/.f64 -2 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3))) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2)))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3)) (*.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b)))))
(+.f64 (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b)) (/.f64 (exp.f64 a) b)) (/.f64 4 (/.f64 (pow.f64 b 3) (exp.f64 a))))
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 (/.f64 (exp.f64 a) (*.f64 b b)) (+.f64 -2 (/.f64 4 b))))
(fma.f64 (/.f64 (exp.f64 a) (*.f64 b b)) (+.f64 -2 (/.f64 4 b)) (/.f64 (exp.f64 a) b))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3))) (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 b 2))))))
(fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 b 4)) (+.f64 (/.f64 (exp.f64 a) b) (fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 b 3)) (*.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b))))))
(+.f64 (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 b b)) (/.f64 4 (/.f64 (pow.f64 b 3) (exp.f64 a)))) (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 b 4)) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 b 4)) (*.f64 (/.f64 (exp.f64 a) (*.f64 b b)) (+.f64 -2 (/.f64 4 b)))))
(fma.f64 (+.f64 1 (/.f64 -2 b)) (/.f64 (exp.f64 a) b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 b 3)) (+.f64 4 (/.f64 -8 b))))
(*.f64 (/.f64 (exp.f64 a) b) (+.f64 (+.f64 (/.f64 -8 (pow.f64 b 3)) (+.f64 1 (/.f64 -2 b))) (/.f64 4 (*.f64 b b))))
(/.f64 1 (+.f64 2 b))
(/.f64 1 (+.f64 b 2))
(+.f64 (/.f64 a (+.f64 2 b)) (/.f64 1 (+.f64 2 b)))
(+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 2 b))) (/.f64 1 (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 b 2)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 b 2)) (/.f64 1 (+.f64 b 2))))
(+.f64 (/.f64 a (+.f64 b 2)) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 b 2) a)) (/.f64 1 (+.f64 b 2))))
(+.f64 (/.f64 1 (+.f64 b 2)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 b 2)) (/.f64 a (+.f64 b 2))))
(+.f64 (/.f64 1 (+.f64 b 2)) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 b 2) a)) (/.f64 a (+.f64 b 2))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 2 b))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 2 b))) (/.f64 1 (+.f64 2 b)))))
(+.f64 (/.f64 a (+.f64 b 2)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 b 2)) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 b 2)) (/.f64 1 (+.f64 b 2)))))
(+.f64 (/.f64 a (+.f64 b 2)) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 b 2) a)) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 b 2)) (/.f64 1 (+.f64 b 2)))))
(+.f64 (/.f64 1 (+.f64 b 2)) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 b 2) a)) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(+.f64 (/.f64 1 (+.f64 b 2)) (+.f64 (/.f64 a (+.f64 b 2)) (*.f64 (/.f64 a (/.f64 (+.f64 b 2) a)) (+.f64 1/2 (*.f64 a 1/6)))))
(+.f64 (/.f64 1 (+.f64 b 2)) (+.f64 (/.f64 a (+.f64 b 2)) (*.f64 (/.f64 a (+.f64 b 2)) (*.f64 a (+.f64 1/2 (*.f64 a 1/6))))))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 b 2))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 b 2))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 b 2))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 b 2))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 b 2))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 b 2))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 b 2))
(/.f64 (exp.f64 a) (+.f64 2 b))
(/.f64 (exp.f64 a) (+.f64 b 2))

localize16.0ms (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)))
0.2b
(*.f64 -1/48 (pow.f64 a 3))
Compiler

Compiled 34 to 27 computations (20.6% saved)

series3.0ms (0.1%)

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)))

rewrite70.0ms (1.5%)

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 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3)) (/.f64 1 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (/.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3)) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3)) (+.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 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 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 (neg.f64 (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3))) (neg.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (neg.f64 (-.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))))))

simplify164.0ms (3.5%)

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))

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (/.f64 1 (+.f64 2 b)))
0.0b
(/.f64 1 (+.f64 2 b))
3.2b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
953×pow1_binary64
897×add-log-exp_binary64
896×log1p-expm1-u_binary64
896×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
119017
2270317
Stop Event
node limit
Counts
2 → 84
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(+.f64 1 (/.f64 1 (+.f64 2 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 b)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 2 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 2 b)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 b) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 b) -1/2) (pow.f64 (+.f64 2 b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) (+.f64 (/.f64 1 (+.f64 2 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 2 b)) -1) (pow.f64 (sqrt.f64 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b (-.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 b b))) (-.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (+.f64 (neg.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) (+.f64 (/.f64 1 (+.f64 2 b)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 b)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 2 b) -1/2) (sqrt.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 (neg.f64 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) (+.f64 (/.f64 1 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) -1) (+.f64 (/.f64 1 (+.f64 2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) (+.f64 (/.f64 1 (+.f64 2 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 b)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 b)) -1) (+.f64 (/.f64 1 (+.f64 2 b)) -1)) (+.f64 (/.f64 1 (+.f64 2 b)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 b)) -1) (+.f64 (/.f64 1 (+.f64 2 b)) -1))) (-.f64 1 (+.f64 (/.f64 1 (+.f64 2 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 b) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 2 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 2 b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 2 b)))) (/.f64 (pow.f64 (+.f64 2 b) -2) (-.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 b) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 b) -2) (/.f64 1 (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 2 b) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 b) -2) (/.f64 1 (+.f64 2 b)))) (+.f64 1 (pow.f64 (+.f64 2 b) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 2 b))) (-.f64 1 (pow.f64 (+.f64 2 b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 2 b) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 b) -2) (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 2 b) -3)) (+.f64 (pow.f64 (+.f64 2 b) -2) (-.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 2 b) -2)) (-.f64 1 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 b) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 b) -2) (/.f64 1 (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 b) -2))) (neg.f64 (-.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 b) -2) 1) (+.f64 (/.f64 1 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 b) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 b) -2) (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 b) -2)) 1) (-.f64 1 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 b) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 b) -1/2) (pow.f64 (+.f64 2 b) -1/2) 1)))))

simplify62.0ms (1.3%)

Algorithm
egg-herbie
Rules
752×distribute-neg-frac_binary64
700×associate-*l*_binary64
487×associate-*r*_binary64
415×times-frac_binary64
385×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042324
1115320
2287312
3767300
42173300
57215300
Stop Event
node limit
Counts
108 → 111
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))))
(fma.f64 b (*.f64 b 1/8) (fma.f64 -1/4 b 1/2))
(fma.f64 b (fma.f64 b 1/8 -1/4) 1/2)
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 1/2))
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/4 b 1/2)))
(fma.f64 b (fma.f64 b 1/8 -1/4) (fma.f64 -1/16 (pow.f64 b 3) 1/2))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -1 b))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))
(-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -2 (*.f64 b b)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 -8 (pow.f64 b 4)) (/.f64 (/.f64 2 b) b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -1 b))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))
(-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -2 (*.f64 b b)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 -8 (pow.f64 b 4)) (/.f64 (/.f64 2 b) b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))))
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 (*.f64 -1/4 b) 3/2)
(fma.f64 -1/4 b 3/2)
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2)
(+.f64 (*.f64 b (*.f64 b 1/8)) (fma.f64 -1/4 b 3/2))
(fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 3/2))
(fma.f64 b (fma.f64 b 1/8 -1/4) 3/2)
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2))
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 3/2))
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 3/2)))
(fma.f64 b (fma.f64 b 1/8 -1/4) (fma.f64 -1/16 (pow.f64 b 3) 3/2))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 (/.f64 -2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (-.f64 1 (/.f64 (/.f64 2 b) b)))
(+.f64 1 (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -1 b)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b)))
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))))
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))))
(+.f64 (/.f64 1 b) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))))
(+.f64 1 (-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3)))))
(+.f64 1 (+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 (/.f64 -2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (-.f64 1 (/.f64 (/.f64 2 b) b)))
(+.f64 1 (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -1 b)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b)))
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))))
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))))
(+.f64 (/.f64 1 b) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))))
(+.f64 1 (-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3)))))
(+.f64 1 (+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval120.0ms (2.5%)

Compiler

Compiled 4864 to 3912 computations (19.6% saved)

prune51.0ms (1.1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New3364340
Fresh101
Picked101
Done369
Total34110351
Error
0b
Counts
351 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
38.1b
(+.f64 1/2 (*.f64 1/4 a))
40.0b
(+.f64 1/2 (*.f64 -1/4 b))
21.4b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
38.5b
1/2
40.0b
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
24.1b
(/.f64 (exp.f64 a) (+.f64 b 2))
13.5b
(/.f64 1 (+.f64 1 (exp.f64 b)))
38.1b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
30.9b
(exp.f64 a)
34.9b
(-.f64 1 1)
Compiler

Compiled 73 to 61 computations (16.4% saved)

regimes35.0ms (0.7%)

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

5 calls:

10.0ms
a
10.0ms
b
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
3.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
0.3b1a
0.3b1b
0.3b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.3b1(exp.f64 a)
0.3b1(exp.f64 b)
Compiler

Compiled 158 to 100 computations (36.7% saved)

regimes47.0ms (1%)

Counts
16 → 3
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(exp.f64 a)
(/.f64 (exp.f64 a) (+.f64 b 2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 2 b)) (exp.f64 a))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (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:

26.0ms
b
9.0ms
a
5.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.6b1a
0.2b3b
1.6b1(exp.f64 a)
0.2b3(exp.f64 b)
Compiler

Compiled 104 to 76 computations (26.9% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000002218
0.0ms
0.0
0.9348246114336258
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes58.0ms (1.2%)

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

5 calls:

23.0ms
b
15.0ms
a
6.0ms
(exp.f64 b)
5.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.3b2a
1.2b3b
1.3b2(exp.f64 a)
1.2b3(exp.f64 b)
1.2b3(exp.f64 b)
Compiler

Compiled 92 to 71 computations (22.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000002218
0.0ms
0.0
0.9348246114336258
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes64.0ms (1.4%)

Counts
11 → 3
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(exp.f64 a)
(/.f64 (exp.f64 a) (+.f64 b 2))
Outputs
(exp.f64 a)
(/.f64 (exp.f64 a) (+.f64 b 2))
(-.f64 1 1)
Calls

3 calls:

38.0ms
a
19.0ms
b
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
11.8b6a
1.7b3b
13.8b2(exp.f64 a)
Compiler

Compiled 59 to 46 computations (22% saved)

bsearch43.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
9.977351084602414e-11
1731333.8827189128
22.0ms
-3049840009.9069276
-0.0673963486434436
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes127.0ms (2.7%)

Counts
10 → 6
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(exp.f64 a)
Outputs
(exp.f64 a)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(exp.f64 a)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(exp.f64 a)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
Calls

3 calls:

84.0ms
a
35.0ms
b
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
11.8b6a
12.3b5b
13.8b2(exp.f64 a)
Compiler

Compiled 53 to 43 computations (18.9% saved)

bsearch146.0ms (3.1%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
8.036420440878692e-189
1.7180625855948712e-179
21.0ms
1.4029083934550938e-204
1.9991838867691634e-200
34.0ms
2.967442691265062e-248
2.0766321540172958e-247
34.0ms
8.561991758250881e-259
1.4126244067697158e-257
38.0ms
-7.189191193610731
-0.12499555234508852
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes26.0ms (0.6%)

Counts
9 → 2
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
Outputs
(-.f64 1 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
Calls

2 calls:

12.0ms
a
12.0ms
b
Results
ErrorSegmentsBranch
13.9b2a
23.3b2b
Compiler

Compiled 47 to 39 computations (17% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
-29139.500613890617
-7.189191193610731
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes33.0ms (0.7%)

Counts
8 → 4
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
Outputs
(-.f64 1 1)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1 1)
(+.f64 1/2 (*.f64 1/4 a))
Calls

2 calls:

20.0ms
a
11.0ms
b
Results
ErrorSegmentsBranch
20.0b4a
23.3b2b
Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch58.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
5.7980980826062455e-297
1.685496980266123e-295
19.0ms
-2.060954882439822e-252
-1.1111834599994011e-252
22.0ms
-7.189191193610731
-0.12499555234508852
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes25.0ms (0.5%)

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

2 calls:

15.0ms
a
8.0ms
b
Results
ErrorSegmentsBranch
20.5b4a
23.7b2b
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch55.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
5.7980980826062455e-297
1.685496980266123e-295
18.0ms
-2.060954882439822e-252
-1.1111834599994011e-252
20.0ms
-9.796199297298505e-17
-7.414284197024713e-17
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

4.0ms
b
3.0ms
a
Results
ErrorSegmentsBranch
38.5b1a
38.5b1b
Compiler

Compiled 10 to 8 computations (20% saved)

simplify14.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068281
179281
280281
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 b 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 b -6395978076456333/2097152) (exp.f64 a) (if (<=.f64 b 7719601496022965/77371252455336267181195264) (/.f64 (exp.f64 a) (+.f64 b 2)) (-.f64 1 1)))
(if (<=.f64 a -8094309695160135/1125899906842624) (exp.f64 a) (if (<=.f64 a 3705449202903105/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1) (if (<=.f64 a 7475298620480693/251910462920982955146951572855242064723418868082104455055218081010186148908960752236565235084370225856148908135059894885483907489539473312974233140212507046179002134322645704349866637075627537275802723363977045251916898867011814946574400376685636747593659677933568) (exp.f64 a) (if (<=.f64 a 3961832885906105/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1) (if (<=.f64 a 5039294204831507/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))))))
(if (<=.f64 a -1001225617267457/34359738368) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))
(if (<=.f64 a -8094309695160135/1125899906842624) (-.f64 1 1) (if (<=.f64 a -2126545299434191/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) (+.f64 1/2 (*.f64 1/4 a)) (if (<=.f64 a 2134671589040047/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (-.f64 1 1) (+.f64 1/2 (*.f64 1/4 a)))))
(if (<=.f64 a -3973810534136259/40564819207303340847894502572032) (-.f64 1 1) (if (<=.f64 a -2126545299434191/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) 1/2 (if (<=.f64 a 2134671589040047/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (-.f64 1 1) 1/2)))
1/2
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 b 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 b 2)) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 b -6395978076456333/2097152) (exp.f64 a) (if (<=.f64 b 7719601496022965/77371252455336267181195264) (/.f64 (exp.f64 a) (+.f64 b 2)) (-.f64 1 1)))
(if (<=.f64 b -6395978076456333/2097152) (exp.f64 a) (if (<=.f64 b 7719601496022965/77371252455336267181195264) (/.f64 (exp.f64 a) (+.f64 b 2)) 0))
(if (<=.f64 a -8094309695160135/1125899906842624) (exp.f64 a) (if (<=.f64 a 3705449202903105/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1) (if (<=.f64 a 7475298620480693/251910462920982955146951572855242064723418868082104455055218081010186148908960752236565235084370225856148908135059894885483907489539473312974233140212507046179002134322645704349866637075627537275802723363977045251916898867011814946574400376685636747593659677933568) (exp.f64 a) (if (<=.f64 a 3961832885906105/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1) (if (<=.f64 a 5039294204831507/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))))))
(if (<=.f64 a -8094309695160135/1125899906842624) (exp.f64 a) (if (<=.f64 a 3705449202903105/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1) (if (<=.f64 a 7475298620480693/251910462920982955146951572855242064723418868082104455055218081010186148908960752236565235084370225856148908135059894885483907489539473312974233140212507046179002134322645704349866637075627537275802723363977045251916898867011814946574400376685636747593659677933568) (exp.f64 a) (if (<=.f64 a 3961832885906105/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1) (if (<=.f64 a 5039294204831507/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (exp.f64 a) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))))))
(if (<=.f64 a -1001225617267457/34359738368) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))
(if (<=.f64 a -1001225617267457/34359738368) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 a -8094309695160135/1125899906842624) (-.f64 1 1) (if (<=.f64 a -2126545299434191/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) (+.f64 1/2 (*.f64 1/4 a)) (if (<=.f64 a 2134671589040047/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (-.f64 1 1) (+.f64 1/2 (*.f64 1/4 a)))))
(if (<=.f64 a -8094309695160135/1125899906842624) 0 (if (<=.f64 a -2126545299434191/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) (+.f64 1/2 (*.f64 a 1/4)) (if (<=.f64 a 2134671589040047/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) 0 (+.f64 1/2 (*.f64 a 1/4)))))
(if (<=.f64 a -3973810534136259/40564819207303340847894502572032) (-.f64 1 1) (if (<=.f64 a -2126545299434191/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) 1/2 (if (<=.f64 a 2134671589040047/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (-.f64 1 1) 1/2)))
(if (<=.f64 a -3973810534136259/40564819207303340847894502572032) 0 (if (<=.f64 a -2126545299434191/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) 1/2 (if (<=.f64 a 2134671589040047/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) 0 1/2)))
1/2
Compiler

Compiled 208 to 156 computations (25% saved)

soundness0.0ms (0%)

end100.0ms (2.1%)

Compiler

Compiled 192 to 134 computations (30.2% saved)

Profiling

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