Details

Time bar (total: 4.0s)

analyze43.0ms (1.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
62.5%62.4%37.5%0.1%0%0%0%4
68.8%68.7%31.2%0.1%0%0%0%5
78.6%68.7%18.7%0.1%0%0%12.5%6
80%68.7%17.2%0.1%0%0%14%7
87.1%68.7%10.1%0.1%0%0%21.1%8
88.4%68.7%9%0.1%0%0%22.2%9
92.9%68.7%5.3%0.1%0%0%26%10
93.7%68.7%4.6%0.1%0%0%26.6%11
96.2%68.7%2.7%0.1%0%0%28.5%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (29%)

Results
1.0s8256×body256valid
95.0ms173×body256unsamplable
Bogosity

preprocess16.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.0b
(/.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
a
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
b
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
b
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite65.0ms (1.6%)

Algorithm
1×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
1×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))))))

simplify82.0ms (2.1%)

Algorithm
1×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
1×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 (0.7%)

Compiler

Compiled 1902 to 915 computations (51.9% saved)

prune15.0ms (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
▶0.8b
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
▶11.9b
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶17.3b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶11.7b
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
▶1.4b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
Compiler

Compiled 118 to 90 computations (23.7% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 28 to 11 computations (60.7% saved)

series10.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite87.0ms (2.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
119128
2275128
Stop Event
1×node limit
Counts
3 → 155
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (exp.f64 b) a)
(+.f64 1 (+.f64 (exp.f64 b) a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) 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(+.f64 1 (pow.f64 (+.f64 a (exp.f64 b)) 3))) (neg.f64 (fma.f64 (+.f64 a (exp.f64 b)) (-.f64 (+.f64 a (exp.f64 b)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 a (exp.f64 b)) 2))) (neg.f64 (-.f64 (-.f64 1 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (-.f64 (*.f64 a a) (*.f64 (+.f64 1 (exp.f64 b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a (exp.f64 b)) 2) 1) (-.f64 (+.f64 a (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) (-.f64 (+.f64 1 (exp.f64 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 b) (+.f64 a 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 b) (+.f64 a 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 b) (+.f64 a 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 a (exp.f64 b)) (-.f64 (+.f64 a (exp.f64 b)) 1) 1) (+.f64 1 (pow.f64 (+.f64 a (exp.f64 b)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 1 a) (exp.f64 b)) (-.f64 1 (pow.f64 (+.f64 a (exp.f64 b)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) (+.f64 a 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 b) (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 a) (exp.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 1 (exp.f64 b))) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (+.f64 a 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 a (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 a (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (exp.f64 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 b) 1 (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a (exp.f64 b)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 b)) (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a (exp.f64 b))) (cbrt.f64 (pow.f64 (+.f64 a (exp.f64 b)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 a (exp.f64 b)) 2)) (cbrt.f64 (+.f64 a (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a (exp.f64 b))) (sqrt.f64 (+.f64 a (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a a)) (/.f64 1 (-.f64 (exp.f64 b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (exp.f64 b)) 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))) a)))))

simplify79.0ms (2%)

Algorithm
1×egg-herbie
Rules
448×fma-def_binary64
389×distribute-rgt-neg-in_binary64
348×distribute-lft-neg-in_binary64
289×associate-*r*_binary64
274×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0961285
12971259
210341214
356941163
Stop Event
1×node limit
Counts
227 → 201
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3)) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(/.f64 (exp.f64 a) (+.f64 2 a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (+.f64 2 a))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 1 a)
(+.f64 1 (+.f64 a b))
(+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(exp.f64 b)
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
a
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
a
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 2 a)
(+.f64 2 (+.f64 a b))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
a
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
a
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3)) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 3) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (/.f64 (exp.f64 a) a))
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a)))
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a))))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 b)) a)) 1) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a))))
(*.f64 (/.f64 (exp.f64 a) a) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (+.f64 1 (exp.f64 b)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (exp.f64 a)) (pow.f64 a 4)) (fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(-.f64 (+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 4)) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 a a)) (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 b)) a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 3)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (/.f64 (exp.f64 a) a))
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a)))
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a))))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 b)) a)) 1) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a))))
(*.f64 (/.f64 (exp.f64 a) a) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (+.f64 1 (exp.f64 b)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (exp.f64 a)) (pow.f64 a 4)) (fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(-.f64 (+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 4)) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 a a)) (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 b)) a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 3)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a))))
(/.f64 (exp.f64 a) (+.f64 2 a))
(/.f64 (exp.f64 a) (+.f64 a 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(fma.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 a 2) 2)) (/.f64 (exp.f64 a) (+.f64 a 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (*.f64 b b)) (fma.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 a 2) 2)) (/.f64 (exp.f64 a) (+.f64 a 2))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3))))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (+.f64 (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))))
(fma.f64 (*.f64 b b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (-.f64 (/.f64 1 (+.f64 a 2)) 1/2)) (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (+.f64 2 a))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))))
(fma.f64 -1 (*.f64 (pow.f64 b 3) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (+.f64 a 2)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))))) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (*.f64 b b)) (fma.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 a 2) 2)) (/.f64 (exp.f64 a) (+.f64 a 2)))))
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)))))) (*.f64 (pow.f64 b 3) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) -1/2 (-.f64 (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3))) (+.f64 a 2))))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 a 2)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2)) (+.f64 a 2)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2)))))
(fma.f64 (*.f64 b b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (-.f64 (/.f64 1 (+.f64 a 2)) 1/2)) (fma.f64 (pow.f64 b 3) (-.f64 (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2)) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 a 2))))) (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 1 a)
(+.f64 1 (+.f64 a b))
(+.f64 (+.f64 1 a) b)
(+.f64 a (+.f64 1 b))
(+.f64 1 (+.f64 b a))
(+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b))))
(+.f64 1 (+.f64 a (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 1 (+.f64 a (fma.f64 b (*.f64 b 1/2) b)))
(+.f64 (+.f64 b a) (fma.f64 b (*.f64 b 1/2) 1))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b)))))
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 b 3) 1) (fma.f64 1/2 (*.f64 b b) b)) a)
(+.f64 1 (fma.f64 1/6 (pow.f64 b 3) (+.f64 a (fma.f64 b (*.f64 b 1/2) b))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 b a) (fma.f64 b (*.f64 b 1/2) 1)))
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(exp.f64 b)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
a
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
a
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 a (exp.f64 b))
(+.f64 (exp.f64 b) a)
(+.f64 2 a)
(+.f64 a 2)
(+.f64 2 (+.f64 a b))
(+.f64 (+.f64 a 2) b)
(+.f64 a (+.f64 2 b))
(+.f64 a (+.f64 b 2))
(+.f64 b (+.f64 a 2))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 2 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b))))
(+.f64 a (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(+.f64 b (+.f64 a (fma.f64 b (*.f64 b 1/2) 2)))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b)))))
(+.f64 (+.f64 a (fma.f64 1/2 (*.f64 b b) b)) (fma.f64 1/6 (pow.f64 b 3) 2))
(+.f64 (fma.f64 b (*.f64 b 1/2) b) (fma.f64 1/6 (pow.f64 b 3) (+.f64 a 2)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
a
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
a
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite53.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
475×pow1_binary64
463×add-sqr-sqrt_binary64
455×*-un-lft-identity_binary64
442×add-log-exp_binary64
442×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1986
212066
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(+.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 (+.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 (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)))))

simplify109.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
638×distribute-rgt-in_binary64
588×distribute-lft-in_binary64
536×unswap-sqr_binary64
461×associate-*l*_binary64
396×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01438
13634
29034
325930
464629
5218529
6384629
7408029
8438429
9495129
10595729
11789029
Stop Event
1×node limit
Counts
34 → 36
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)))))
Outputs
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(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 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/6 (pow.f64 b 3) (fma.f64 (fma.f64 b 1/2 1) b 2))
(+.f64 b (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) 2))
(+.f64 2 (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) b))

localize8.0ms (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))

rewrite69.0ms (1.7%)

Algorithm
1×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
1×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)))))

simplify163.0ms (4.1%)

Algorithm
1×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
1×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)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 10 computations (50% saved)

series5.0ms (0.1%)

Counts
1 → 8
Calls

6 calls:

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

rewrite64.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
832×pow1_binary64
770×add-log-exp_binary64
770×log1p-expm1-u_binary64
770×expm1-log1p-u_binary64
753×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
115910
2207910
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (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 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (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 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (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 1 (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 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 1 (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 1 (exp.f64 b))) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (/.f64 (exp.f64 a) (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.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 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 b)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))

simplify60.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
555×associate-*l*_binary64
489×associate-*r*_binary64
402×cancel-sign-sub-inv_binary64
315×fma-neg_binary64
288×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051210
1140193
2445170
31893168
46699168
Stop Event
1×node limit
Counts
41 → 46
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 1/2 (exp.f64 a))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (*.f64 1/2 (exp.f64 a)))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a))))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/16 (exp.f64 a)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a)))) (*.f64 1/24 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a)))))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))
(fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))
(fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))
(fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))
(*.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 b (exp.f64 a)) (*.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 b -1/4)))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a))))
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (*.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 b -1/4)))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/16 (exp.f64 a)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a)))) (*.f64 1/24 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a)))))
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (fma.f64 -1 (*.f64 (fma.f64 -1/16 (exp.f64 a) (fma.f64 -1/2 (*.f64 (exp.f64 a) 0) (*.f64 (exp.f64 a) 1/24))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (*.f64 (exp.f64 a) 0) (*.f64 b b)) (*.f64 1/2 (exp.f64 a)))))
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (-.f64 (fma.f64 1/2 (exp.f64 a) (*.f64 0 (*.f64 b b))) (*.f64 (fma.f64 (exp.f64 a) -1/16 (fma.f64 (exp.f64 a) 1/24 0)) (pow.f64 b 3))))
(-.f64 (*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4))) (*.f64 (*.f64 (exp.f64 a) -1/48) (pow.f64 b 3)))
(fma.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (pow.f64 b 3) (*.f64 (exp.f64 a) 1/48)))

localize29.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiled 68 to 43 computations (36.8% saved)

series19.0ms (0.5%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
5.0ms
b
@-inf
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
4.0ms
b
@inf
(*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
2.0ms
b
@inf
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
1.0ms
a
@0
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
1.0ms
b
@0
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))

rewrite132.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
671×log-prod_binary64
513×fma-def_binary64
291×fma-neg_binary64
239×expm1-udef_binary64
239×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01449
131845
2477845
Stop Event
1×node limit
Counts
3 → 299
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) (*.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 2) (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) (/.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2) (/.f64 1 (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) (cbrt.f64 (pow.f64 (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2)) (cbrt.f64 (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) (sqrt.f64 (fma.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 3) (pow.f64 (*.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3)) (/.f64 1 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(/.f64 (+.f64 1 a) 1) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 a) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 a 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 a a)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 1 a)) (+.f64 -1 (neg.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 a) -1) (+.f64 -1 (neg.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 1 (pow.f64 a 3))) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 1 (*.f64 a a))) (+.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 a) (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 a) (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 a (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1 (*.f64 a (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (*.f64 a (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (*.f64 a (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))) (*.f64 a (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1) (*.f64 a (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (*.f64 a (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (*.f64 a (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)) (*.f64 a (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a))))))

simplify80.0ms (2%)

Algorithm
1×egg-herbie
Rules
798×fma-def_binary64
500×associate-+l+_binary64
393×associate-+r+_binary64
350×sub-neg_binary64
343×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01041224
13391162
213061116
362911093
Stop Event
1×node limit
Counts
351 → 332
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 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 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 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 1 (+.f64 1 (exp.f64 b))))
(*.f64 -1 (*.f64 a (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (*.f64 -1/4 a)))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a))))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 3/16 a) (*.f64 -1/4 a)) (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a))) (pow.f64 b 2)) (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a)))))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 3/16 a) (*.f64 -1/4 a)) (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a))) (pow.f64 b 2)) (+.f64 (*.f64 (-.f64 (+.f64 1/48 (+.f64 (*.f64 -1 (+.f64 (*.f64 3/16 a) (*.f64 -1/4 a))) (+.f64 (*.f64 5/48 a) (*.f64 -3/16 a)))) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a))) (+.f64 (*.f64 -1/16 a) (*.f64 1/24 a)))) (pow.f64 b 3)) (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a))))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
4
(+.f64 (*.f64 4 b) 4)
(+.f64 (*.f64 4 b) (+.f64 4 (*.f64 3 (pow.f64 b 2))))
(+.f64 (*.f64 4 b) (+.f64 (*.f64 5/3 (pow.f64 b 3)) (+.f64 4 (*.f64 3 (pow.f64 b 2)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 a (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 a (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (+.f64 1 a))
(+.f64 (*.f64 1/2 (+.f64 1 a)) (*.f64 -1/4 (*.f64 (+.f64 1 a) b)))
(+.f64 (*.f64 1/2 (+.f64 1 a)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 1 a) b)) (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/8 (+.f64 1 a)) (*.f64 -1/8 (+.f64 1 a)))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/16 (+.f64 1 a)) (+.f64 (*.f64 1/24 (+.f64 1 a)) (*.f64 -1/2 (+.f64 (*.f64 1/8 (+.f64 1 a)) (*.f64 -1/8 (+.f64 1 a)))))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (+.f64 1 a)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 1 a) b)) (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/8 (+.f64 1 a)) (*.f64 -1/8 (+.f64 1 a))))))))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.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 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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.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 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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 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 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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.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 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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.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 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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(*.f64 -1 (*.f64 a (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (*.f64 -1/4 a)))
(fma.f64 1/2 a (+.f64 1/2 (*.f64 a -1/4)))
(fma.f64 a 1/2 (fma.f64 a -1/4 1/2))
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a))))
(fma.f64 1/2 a (+.f64 1/2 (*.f64 -1/4 (+.f64 b a))))
(fma.f64 a 1/2 (fma.f64 -1/4 (+.f64 b a) 1/2))
(+.f64 (*.f64 a 1/4) (fma.f64 b -1/4 1/2))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 3/16 a) (*.f64 -1/4 a)) (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a))) (pow.f64 b 2)) (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a)))))
(fma.f64 1/2 a (+.f64 1/2 (fma.f64 (-.f64 (*.f64 a -1/16) (*.f64 a 0)) (*.f64 b b) (*.f64 -1/4 (+.f64 b a)))))
(+.f64 (fma.f64 -1/4 (+.f64 b a) (*.f64 (*.f64 a -1/16) (*.f64 b b))) (fma.f64 a 1/2 1/2))
(+.f64 (*.f64 b (+.f64 -1/4 (*.f64 a (*.f64 -1/16 b)))) (+.f64 1/2 (*.f64 a 1/4)))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 3/16 a) (*.f64 -1/4 a)) (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a))) (pow.f64 b 2)) (+.f64 (*.f64 (-.f64 (+.f64 1/48 (+.f64 (*.f64 -1 (+.f64 (*.f64 3/16 a) (*.f64 -1/4 a))) (+.f64 (*.f64 5/48 a) (*.f64 -3/16 a)))) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a))) (+.f64 (*.f64 -1/16 a) (*.f64 1/24 a)))) (pow.f64 b 3)) (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a))))))
(fma.f64 1/2 a (+.f64 1/2 (fma.f64 (-.f64 (*.f64 a -1/16) (*.f64 a 0)) (*.f64 b b) (fma.f64 (+.f64 1/48 (-.f64 (fma.f64 -1 (*.f64 a -1/16) (*.f64 a -1/12)) (fma.f64 -1/2 (*.f64 a 0) (*.f64 a -1/48)))) (pow.f64 b 3) (*.f64 -1/4 (+.f64 b a))))))
(+.f64 (fma.f64 (*.f64 a -1/16) (*.f64 b b) (fma.f64 (+.f64 1/48 (-.f64 (fma.f64 a -1/12 (*.f64 a 1/16)) (*.f64 a -1/48))) (pow.f64 b 3) (*.f64 -1/4 (+.f64 b a)))) (fma.f64 a 1/2 1/2))
(+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 a -1/16) (*.f64 b 1/48))) (+.f64 (*.f64 a 1/4) (fma.f64 b -1/4 1/2)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (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 (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (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 (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (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 (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (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 (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (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 (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (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 (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (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 (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1 (/.f64 a (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 (/.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 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
4
(+.f64 (*.f64 4 b) 4)
(fma.f64 4 b 4)
(fma.f64 b 4 4)
(+.f64 (*.f64 4 b) (+.f64 4 (*.f64 3 (pow.f64 b 2))))
(+.f64 (fma.f64 4 b 4) (*.f64 (*.f64 b b) 3))
(fma.f64 b 4 (fma.f64 (*.f64 b b) 3 4))
(fma.f64 b 4 (fma.f64 b (*.f64 b 3) 4))
(+.f64 (*.f64 4 b) (+.f64 (*.f64 5/3 (pow.f64 b 3)) (+.f64 4 (*.f64 3 (pow.f64 b 2)))))
(fma.f64 4 b (fma.f64 5/3 (pow.f64 b 3) (+.f64 4 (*.f64 (*.f64 b b) 3))))
(fma.f64 b 4 (fma.f64 (pow.f64 b 3) 5/3 (fma.f64 (*.f64 b b) 3 4)))
(fma.f64 b 4 (fma.f64 b (*.f64 b 3) (fma.f64 (pow.f64 b 3) 5/3 4)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(/.f64 a (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(/.f64 a (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(*.f64 1/2 (+.f64 1 a))
(+.f64 1/2 (*.f64 a 1/2))
(fma.f64 a 1/2 1/2)
(+.f64 (*.f64 1/2 (+.f64 1 a)) (*.f64 -1/4 (*.f64 (+.f64 1 a) b)))
(fma.f64 1/2 (+.f64 1 a) (*.f64 -1/4 (*.f64 b (+.f64 1 a))))
(fma.f64 -1/4 (*.f64 b (+.f64 1 a)) (fma.f64 a 1/2 1/2))
(*.f64 (+.f64 1 a) (fma.f64 b -1/4 1/2))
(+.f64 (*.f64 1/2 (+.f64 1 a)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 1 a) b)) (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/8 (+.f64 1 a)) (*.f64 -1/8 (+.f64 1 a)))))))
(fma.f64 1/2 (+.f64 1 a) (*.f64 -1/4 (*.f64 b (+.f64 1 a))))
(fma.f64 -1/4 (*.f64 b (+.f64 1 a)) (fma.f64 a 1/2 1/2))
(*.f64 (+.f64 1 a) (fma.f64 b -1/4 1/2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/16 (+.f64 1 a)) (+.f64 (*.f64 1/24 (+.f64 1 a)) (*.f64 -1/2 (+.f64 (*.f64 1/8 (+.f64 1 a)) (*.f64 -1/8 (+.f64 1 a)))))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (+.f64 1 a)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 1 a) b)) (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/8 (+.f64 1 a)) (*.f64 -1/8 (+.f64 1 a))))))))
(fma.f64 -1 (*.f64 (pow.f64 b 3) (fma.f64 -1/16 (+.f64 1 a) (fma.f64 1/24 (+.f64 1 a) (*.f64 -1/2 (*.f64 (+.f64 1 a) 0))))) (fma.f64 1/2 (+.f64 1 a) (fma.f64 -1/4 (*.f64 b (+.f64 1 a)) (neg.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 1 a) 0))))))
(+.f64 (fma.f64 -1/4 (*.f64 b (+.f64 1 a)) (*.f64 b (*.f64 b 0))) (fma.f64 (neg.f64 (*.f64 (+.f64 1 a) -1/48)) (pow.f64 b 3) (fma.f64 a 1/2 1/2)))
(fma.f64 (pow.f64 b 3) (*.f64 (+.f64 1 a) 1/48) (*.f64 (+.f64 1 a) (fma.f64 b -1/4 1/2)))
(fma.f64 (pow.f64 b 3) (+.f64 1/48 (*.f64 a 1/48)) (*.f64 (+.f64 1 a) (fma.f64 b -1/4 1/2)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))

eval326.0ms (8.2%)

Compiler

Compiled 18083 to 11197 computations (38.1% saved)

prune115.0ms (2.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New7946800
Fresh000
Picked101
Done224
Total7978805
Error
0b
Counts
805 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
34.6b
1/2
✓17.3b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶26.2b
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
▶35.6b
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a))))
▶34.5b
(+.f64 1/2 (*.f64 a 1/4))
✓11.9b
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶18.2b
(/.f64 (exp.f64 a) 2)
▶35.7b
(/.f64 1 (+.f64 2 b))
Compiler

Compiled 124 to 102 computations (17.7% saved)

localize5.0ms (0.1%)

Compiler

Compiled 10 to 6 computations (40% saved)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize18.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a))))
Compiler

Compiled 44 to 32 computations (27.3% saved)

series3.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite72.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
778×fma-def_binary64
621×log-prod_binary64
395×fma-neg_binary64
345×pow2_binary64
236×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01114
125912
2379112
Stop Event
1×node limit
Counts
1 → 77
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 1/2 a) 2) (-.f64 (*.f64 1/2 a) (fma.f64 -1/4 (+.f64 a b) 1/2))) (/.f64 (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 2) (-.f64 (*.f64 1/2 a) (fma.f64 -1/4 (+.f64 a b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))) 2) (cbrt.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))) (sqrt.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (-.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (*.f64 1/2 a)) (pow.f64 (*.f64 1/2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 1/2 a) 2) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 a) (fma.f64 -1/4 (+.f64 a b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (-.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (*.f64 1/2 a)) (pow.f64 (*.f64 1/2 a) 2)) (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 a) (fma.f64 -1/4 (+.f64 a b) 1/2)) (-.f64 (pow.f64 (*.f64 1/2 a) 2) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 3)) (fma.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (-.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (*.f64 1/2 a)) (pow.f64 (*.f64 1/2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 3)) (+.f64 (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 2) (-.f64 (pow.f64 (*.f64 1/2 a) 2) (*.f64 (*.f64 1/2 a) (fma.f64 -1/4 (+.f64 a b) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 a) 2) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 2)) (-.f64 (*.f64 1/2 a) (fma.f64 -1/4 (+.f64 a b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 3))) (neg.f64 (fma.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (-.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (*.f64 1/2 a)) (pow.f64 (*.f64 1/2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/2 a) 2) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 2))) (neg.f64 (-.f64 (*.f64 1/2 a) (fma.f64 -1/4 (+.f64 a b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 a 1/2) 3) (*.f64 -1/64 (pow.f64 (+.f64 a b) 3))) (+.f64 (pow.f64 (fma.f64 1/2 a 1/2) 2) (-.f64 (*.f64 1/16 (pow.f64 (+.f64 a b) 2)) (*.f64 (fma.f64 1/2 a 1/2) (*.f64 -1/4 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 2) (pow.f64 (*.f64 1/2 a) 2)) (-.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (*.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 a 1/2) 2) (*.f64 1/16 (pow.f64 (+.f64 a b) 2))) (-.f64 (fma.f64 1/2 a 1/2) (*.f64 -1/4 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (-.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) (*.f64 1/2 a)) (pow.f64 (*.f64 1/2 a) 2)) (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 1/2 a) (fma.f64 -1/4 (+.f64 a b) 1/2)) (-.f64 (pow.f64 (*.f64 1/2 a) 2) (pow.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 a))) (exp.f64 (fma.f64 -1/4 (+.f64 a b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) 1/2) (+.f64 1 (expm1.f64 (fma.f64 -1/4 (+.f64 a b) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 a))) (+.f64 1 (expm1.f64 (fma.f64 -1/4 (+.f64 a b) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (+.f64 a b)) (exp.f64 (fma.f64 1/2 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (+.f64 a b)))) (exp.f64 (fma.f64 1/2 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (+.f64 a b) 1/2))) (pow.f64 (exp.f64 a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/4 (+.f64 a b) 1/2)) (+.f64 1 (expm1.f64 (*.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (+.f64 a b) 1/2))) (+.f64 1 (expm1.f64 (*.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/2 a 1/2)) (+.f64 1 (expm1.f64 (*.f64 -1/4 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 a (fma.f64 -1/4 (+.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/2 (fma.f64 -1/4 (+.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 a) 1 (fma.f64 -1/4 (+.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (+.f64 a b) (fma.f64 1/2 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (+.f64 a b)) 1 (fma.f64 1/2 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/4 (+.f64 a b) 1/2) 1 (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 a) (fma.f64 -1/4 (+.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/4 (+.f64 a b)) (fma.f64 1/2 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/4 (+.f64 a b) 1/2) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/4 b 1/2) (fma.f64 a -1/4 (*.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 a 1/2) (*.f64 -1/4 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/4 (+.f64 a b))) (cbrt.f64 (*.f64 1/16 (pow.f64 (+.f64 a b) 2))) (fma.f64 1/2 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (+.f64 a b) 2))) (cbrt.f64 (*.f64 -1/4 (+.f64 a b))) (fma.f64 1/2 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 1/2) (fma.f64 -1/4 (+.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/4 (+.f64 a b) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (+.f64 a b) 1/2)) 2) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (+.f64 a b) 1/2)) 2) (cbrt.f64 (fma.f64 -1/4 (+.f64 a b) 1/2)) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 a)) (pow.f64 (cbrt.f64 (*.f64 1/2 a)) 2) (fma.f64 -1/4 (+.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 a)) 2) (cbrt.f64 (*.f64 1/2 a)) (fma.f64 -1/4 (+.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/4 (+.f64 a b))) (sqrt.f64 (*.f64 -1/4 (+.f64 a b))) (fma.f64 1/2 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/2) (fma.f64 -1/4 (+.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/4 (+.f64 a b) 1/2)) (sqrt.f64 (fma.f64 -1/4 (+.f64 a b) 1/2)) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 a)) (sqrt.f64 (*.f64 1/2 a)) (fma.f64 -1/4 (+.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/64 (pow.f64 b 3) (*.f64 -1/64 (pow.f64 a 3))) (/.f64 1 (fma.f64 (*.f64 a -1/4) (-.f64 (*.f64 a -1/4) (*.f64 -1/4 b)) (pow.f64 (*.f64 -1/4 b) 2))) (fma.f64 1/2 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/64 (pow.f64 (+.f64 a b) 3) 1/8) (/.f64 1 (fma.f64 (*.f64 -1/4 (+.f64 a b)) (fma.f64 -1/4 (+.f64 a b) -1/2) 1/4)) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 -1/4 b) 2) (*.f64 1/16 (*.f64 a a))) (/.f64 1 (*.f64 -1/4 (-.f64 b a))) (fma.f64 1/2 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/4 (*.f64 1/16 (pow.f64 (+.f64 a b) 2))) (/.f64 1 (-.f64 1/2 (*.f64 -1/4 (+.f64 a b)))) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) -1/4 (fma.f64 1/2 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 a 1/2) 1 (*.f64 -1/4 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 b 1/2)) 2) (cbrt.f64 (fma.f64 -1/4 b 1/2)) (fma.f64 a -1/4 (*.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 a 1/2)) 2) (cbrt.f64 (fma.f64 1/2 a 1/2)) (*.f64 -1/4 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/4 b 1/2)) (sqrt.f64 (fma.f64 -1/4 b 1/2)) (fma.f64 a -1/4 (*.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 a 1/2)) (sqrt.f64 (fma.f64 1/2 a 1/2)) (*.f64 -1/4 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a 1) 1/2 (*.f64 -1/4 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 -1/4 (+.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 -1/4 (+.f64 a b) 1/2))))))

simplify16.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
67×fma-def_binary64
24×associate-+l+_binary64
22×+-commutative_binary64
18×associate-+r+_binary64
7×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017133
134129
257107
376107
4107107
5162107
6170107
7173107
Stop Event
1×saturated
Counts
92 → 86
Calls
Call 1
Inputs
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 -1/4 b)))
(*.f64 1/4 a)
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(*.f64 1/4 a)
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (*.f64 -1/4 a)))
(*.f64 -1/4 b)
(*.f64 -1/4 b)
Outputs
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/4 a)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/4 a))
(fma.f64 -1/4 b (fma.f64 1/4 a 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/4 a)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/4 a))
(fma.f64 -1/4 b (fma.f64 1/4 a 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/4 a)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/4 a))
(fma.f64 -1/4 b (fma.f64 1/4 a 1/2))
(*.f64 1/4 a)
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/4 a)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/4 a))
(fma.f64 -1/4 b (fma.f64 1/4 a 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/4 a)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/4 a))
(fma.f64 -1/4 b (fma.f64 1/4 a 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/4 a)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/4 a))
(fma.f64 -1/4 b (fma.f64 1/4 a 1/2))
(*.f64 1/4 a)
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/4 a)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/4 a))
(fma.f64 -1/4 b (fma.f64 1/4 a 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/4 a)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/4 a))
(fma.f64 -1/4 b (fma.f64 1/4 a 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/4 a)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/4 a))
(fma.f64 -1/4 b (fma.f64 1/4 a 1/2))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (*.f64 -1/4 a)))
(fma.f64 1/2 a (+.f64 1/2 (*.f64 -1/4 a)))
(fma.f64 1/2 a (fma.f64 -1/4 a 1/2))
(fma.f64 1/4 a 1/2)
(*.f64 -1/4 b)
(*.f64 -1/4 b)

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 b))
0.0b
(*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
✓0.0b
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
Compiler

Compiled 52 to 33 computations (36.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
b
@0
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
0.0ms
b
@inf
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
0.0ms
a
@0
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
0.0ms
a
@-inf
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
0.0ms
a
@inf
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))

rewrite91.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
606×log-prod_binary64
481×fma-def_binary64
273×fma-neg_binary64
228×expm1-udef_binary64
228×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01320
129816
2442616
Stop Event
1×node limit
Counts
1 → 177
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 2) (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) (/.f64 (*.f64 (*.f64 a a) 1/16) (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2) (/.f64 1 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) (pow.f64 (cbrt.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) (sqrt.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 a 3) 1/64 (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2) (/.f64 (+.f64 1 a) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) (*.f64 (sqrt.f64 a) 1/2)) (-.f64 (sqrt.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) (*.f64 (sqrt.f64 a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2) (/.f64 (+.f64 1 a) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 4 a)))) (fma.f64 (pow.f64 a 3) 1/64 (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2) (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 3) 1/64 (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 3)) (-.f64 (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2) (/.f64 (+.f64 1 a) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 3) 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4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 a) -4) (*.f64 (+.f64 1 (exp.f64 b)) a)) (*.f64 (+.f64 1 (exp.f64 b)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 a) (/.f64 4 a) (+.f64 1 (exp.f64 b))) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 a) 4 (*.f64 (+.f64 1 (exp.f64 b)) a)) (*.f64 (+.f64 1 (exp.f64 b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 a) -4 (*.f64 (+.f64 1 (exp.f64 b)) a)) (*.f64 (+.f64 1 (exp.f64 b)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 (exp.f64 b)) (*.f64 (/.f64 4 a) (+.f64 1 a))) (*.f64 (/.f64 4 a) (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a (+.f64 1 (exp.f64 b)) (*.f64 4 (+.f64 1 a))) (*.f64 4 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a (+.f64 1 (exp.f64 b)) (*.f64 -4 (+.f64 1 a))) (*.f64 -4 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a a) 1/16) (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 2)) (-.f64 (*.f64 a 1/4) (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2) (/.f64 (+.f64 1 a) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 4 a)))) (fma.f64 (pow.f64 a 3) 1/64 (pow.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) (pow.f64 (exp.f64 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) (pow.f64 (exp.f64 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (expm1.f64 (*.f64 a 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) (+.f64 1 (expm1.f64 (*.f64 a 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) (pow.f64 (exp.f64 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (expm1.f64 (*.f64 a 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) (+.f64 1 (expm1.f64 (*.f64 a 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/4))) (exp.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) 1/4) (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/4))) (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 1/4 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 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simplify65.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
429×associate-+l-_binary64
331×associate-*l*_binary64
328×cancel-sign-sub-inv_binary64
311×fma-def_binary64
306×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061563
1168539
2581518
32410423
47072423
Stop Event
1×node limit
Counts
201 → 193
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)))
(*.f64 -1 (*.f64 a (-.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (*.f64 -1/4 a)))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/4 (*.f64 1/4 a)) b)) (*.f64 -1/4 a))))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/4 (*.f64 1/4 a)) b)) (*.f64 -1/4 a)))))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 (-.f64 1/48 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a))) (+.f64 (*.f64 -1/16 a) (*.f64 1/24 a)))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/4 (*.f64 1/4 a)) b)) (*.f64 -1/4 a))))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4))
(*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4))
(fma.f64 a -1/4 (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/4)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 -1 (*.f64 a (-.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4))
(fma.f64 a -1/4 (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 -1 (*.f64 a (-.f64 1/4 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (*.f64 -1/4 a)))
(fma.f64 1/2 a (+.f64 1/2 (*.f64 a -1/4)))
(fma.f64 a 1/2 (fma.f64 a -1/4 1/2))
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/4 (*.f64 1/4 a)) b)) (*.f64 -1/4 a))))
(fma.f64 1/2 a (+.f64 1/2 (fma.f64 -1 (*.f64 b (+.f64 1/4 (*.f64 a 1/4))) (*.f64 a -1/4))))
(+.f64 (fma.f64 a 1/2 (fma.f64 a -1/4 1/2)) (*.f64 b (neg.f64 (fma.f64 a 1/4 1/4))))
(+.f64 (*.f64 a 1/4) (fma.f64 b (+.f64 -1/4 (*.f64 a -1/4)) 1/2))
(-.f64 1/2 (fma.f64 b (fma.f64 a 1/4 1/4) (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/4 (*.f64 1/4 a)) b)) (*.f64 -1/4 a)))))
(fma.f64 1/2 a (+.f64 1/2 (fma.f64 -1 (*.f64 b (+.f64 1/4 (*.f64 a 1/4))) (*.f64 a -1/4))))
(+.f64 (fma.f64 a 1/2 (fma.f64 a -1/4 1/2)) (*.f64 b (neg.f64 (fma.f64 a 1/4 1/4))))
(+.f64 (*.f64 a 1/4) (fma.f64 b (+.f64 -1/4 (*.f64 a -1/4)) 1/2))
(-.f64 1/2 (fma.f64 b (fma.f64 a 1/4 1/4) (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 (-.f64 1/48 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a))) (+.f64 (*.f64 -1/16 a) (*.f64 1/24 a)))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/4 (*.f64 1/4 a)) b)) (*.f64 -1/4 a))))))
(fma.f64 1/2 a (+.f64 1/2 (fma.f64 (-.f64 1/48 (fma.f64 -1/2 (*.f64 a 0) (*.f64 a -1/48))) (pow.f64 b 3) (fma.f64 -1 (*.f64 (*.f64 a 0) (*.f64 b b)) (fma.f64 -1 (*.f64 b (+.f64 1/4 (*.f64 a 1/4))) (*.f64 a -1/4))))))
(+.f64 (fma.f64 (-.f64 1/48 (*.f64 a -1/48)) (pow.f64 b 3) (fma.f64 0 (*.f64 b b) (-.f64 (*.f64 a -1/4) (*.f64 b (fma.f64 a 1/4 1/4))))) (fma.f64 a 1/2 1/2))
(+.f64 (-.f64 (fma.f64 (+.f64 1/48 (*.f64 a 1/48)) (pow.f64 b 3) 1/2) (*.f64 b (fma.f64 a 1/4 1/4))) (*.f64 a 1/4))
(-.f64 (fma.f64 (neg.f64 (fma.f64 a -1/48 -1/48)) (pow.f64 b 3) 1/2) (fma.f64 b (fma.f64 a 1/4 1/4) (*.f64 a -1/4)))
(+.f64 1/2 (-.f64 (*.f64 a 1/4) (fma.f64 b (fma.f64 a 1/4 1/4) (*.f64 (fma.f64 a -1/48 -1/48) (pow.f64 b 3)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 -1/4 a)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) -1/4) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a -1/4 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))

eval414.0ms (10.4%)

Compiler

Compiled 8564 to 5865 computations (31.5% saved)

prune57.0ms (1.4%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New3854389
Fresh011
Picked011
Done156
Total38611397
Error
0b
Counts
397 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
34.6b
1/2
✓17.3b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶61.5b
(*.f64 -1/4 b)
✓26.2b
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
▶61.7b
(*.f64 1/4 a)
▶35.6b
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 -1/4 b)))
▶35.8b
(+.f64 1/2 (*.f64 -1/4 b))
✓34.5b
(+.f64 1/2 (*.f64 a 1/4))
✓11.9b
(/.f64 1 (+.f64 1 (exp.f64 b)))
✓18.2b
(/.f64 (exp.f64 a) 2)
✓35.7b
(/.f64 1 (+.f64 2 b))
Compiler

Compiled 85 to 70 computations (17.6% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.2%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize12.0ms (0.3%)

Compiler

Compiled 29 to 21 computations (27.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.2%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done099
Total01111
Error
0b
Counts
11 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
34.6b
1/2
✓17.3b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓61.5b
(*.f64 -1/4 b)
✓26.2b
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
✓61.7b
(*.f64 1/4 a)
✓35.6b
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 -1/4 b)))
✓35.8b
(+.f64 1/2 (*.f64 -1/4 b))
✓34.5b
(+.f64 1/2 (*.f64 a 1/4))
✓11.9b
(/.f64 1 (+.f64 1 (exp.f64 b)))
✓18.2b
(/.f64 (exp.f64 a) 2)
✓35.7b
(/.f64 1 (+.f64 2 b))
Compiler

Compiled 85 to 70 computations (17.6% saved)

regimes32.0ms (0.8%)

Counts
16 → 1
Calls
Call 1
Inputs
1/2
(*.f64 -1/4 b)
(*.f64 1/4 a)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 1 (+.f64 2 b))
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 -1/4 b)))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a))))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

10.0ms
b
8.0ms
a
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.0b1a
0.0b1b
0.0b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.0b1(exp.f64 a)
0.0b1(exp.f64 b)
Compiler

Compiled 146 to 96 computations (34.2% saved)

regimes28.0ms (0.7%)

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

5 calls:

8.0ms
a
8.0ms
b
3.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.8b1a
0.8b1b
0.8b1(exp.f64 a)
0.8b1(exp.f64 a)
0.8b1(exp.f64 b)
Compiler

Compiled 112 to 78 computations (30.4% saved)

regimes41.0ms (1%)

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

4 calls:

21.0ms
b
8.0ms
a
5.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.4b1a
0.0b3b
1.4b1(exp.f64 a)
0.0b3(exp.f64 b)
Compiler

Compiled 99 to 71 computations (28.3% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000000022
0.0ms
0.9999999999269306
1.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes47.0ms (1.2%)

Counts
12 → 3
Calls
Call 1
Inputs
1/2
(*.f64 -1/4 b)
(*.f64 1/4 a)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 1 (+.f64 2 b))
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 -1/4 b)))
(+.f64 (*.f64 1/2 a) (+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 -1/4 a))))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) 4))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

21.0ms
b
13.0ms
a
5.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.6b2a
0.1b3b
0.6b2(exp.f64 a)
0.1b3(exp.f64 b)
Compiler

Compiled 92 to 68 computations (26.1% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
19.968289961612857
+inf
0.0ms
0.9999999999269306
1.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes50.0ms (1.3%)

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

4 calls:

25.0ms
b
13.0ms
a
6.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.8b2a
0.8b3b
0.8b2(exp.f64 a)
0.8b3(exp.f64 b)
Compiler

Compiled 85 to 65 computations (23.5% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3756165109243255e-5
0.9986584218522802
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes17.0ms (0.4%)

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

3 calls:

7.0ms
a
6.0ms
b
2.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
18.2b1a
18.2b1b
18.2b1(exp.f64 a)
Compiler

Compiled 60 to 46 computations (23.3% saved)

regimes13.0ms (0.3%)

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

2 calls:

5.0ms
b
5.0ms
a
Results
ErrorSegmentsBranch
34.5b1a
34.5b1b
Compiler

Compiled 52 to 40 computations (23.1% saved)

regimes10.0ms (0.2%)

Accuracy

Total -27.7b remaining (-80.1%)

Threshold costs -27.7b (-80.1%)

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

2 calls:

5.0ms
b
4.0ms
a
Results
ErrorSegmentsBranch
34.6b1a
34.6b1b
Compiler

Compiled 20 to 15 computations (25% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033156
142156
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 20) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 5902958103587057/295147905179352825856) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 (exp.f64 a) 2)
(+.f64 1/2 (*.f64 a 1/4))
1/2
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 20) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 20) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 (exp.f64 a) 5902958103587057/295147905179352825856) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 5902958103587057/295147905179352825856) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(/.f64 (exp.f64 a) 2)
(+.f64 1/2 (*.f64 a 1/4))
1/2
Compiler

Compiled 117 to 82 computations (29.9% saved)

soundness0.0ms (0%)

end59.0ms (1.5%)

Compiler

Compiled 103 to 59 computations (42.7% saved)

Profiling

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