Details

Time bar (total: 19.7s)

analyze374.0ms (1.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
50%50%0.1%5
50%50%0.1%6
50%50%0.1%7
50%50%0.1%8
50%50%0.1%9
50%50%0.1%10
50%50%0.1%11
50%50%0.1%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample14.3s (72.5%)

Results
11.4s7883×body8192exit
1.5s1970×body1024valid
835.0ms5058×body256valid
370.0ms1042×body512valid
177.0ms186×body2048valid

preprocess14.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
1×swap-a-b
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
1920
022
122
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify6.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1810
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
32.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.5b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓4.3b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series83.0ms (0.4%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
26.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
24.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite67.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
721×pow1_binary64
666×add-log-exp_binary64
666×log1p-expm1-u_binary64
666×expm1-log1p-u_binary64
650×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
113818
2182218
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(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))))))

simplify48.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
679×distribute-rgt-in_binary64
670×distribute-lft-in_binary64
483×associate-*l/_binary64
432×associate-*r/_binary64
377×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074440
1214434
2668428
33076416
Stop Event
1×node limit
Counts
72 → 86
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 1 (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
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 a 3)) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (log1p.f64 (exp.f64 b)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 b b) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (log1p.f64 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 a))) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 (*.f64 b b) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (+.f64 (exp.f64 b) a) (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 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (fma.f64 1/6 (pow.f64 a 3) a))))
(+.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 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (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 (exp.f64 a) (+.f64 (fma.f64 b (*.f64 b 1/2) b) (fma.f64 1/6 (pow.f64 b 3) 1)))

eval25.0ms (0.1%)

Compiler

Compiled 1332 to 669 computations (49.8% saved)

prune17.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New79786
Fresh000
Picked011
Done000
Total79887
Error
1.2b
Counts
87 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
32.9b
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
▶34.6b
(log1p.f64 (exp.f64 b))
▶32.9b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶33.8b
(log1p.f64 (exp.f64 a))
▶34.6b
(log.f64 (+.f64 1 (exp.f64 b)))
32.5b
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
✓32.5b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Compiler

Compiled 128 to 100 computations (21.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (exp.f64 a))
✓0.0b
(log1p.f64 (exp.f64 a))
✓0.0b
(/.f64 b (+.f64 1 (exp.f64 a)))
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Compiler

Compiled 30 to 14 computations (53.3% saved)

series70.0ms (0.4%)

Counts
4 → 44
Calls

18 calls:

TimeVariablePointExpression
35.0ms
a
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
14.0ms
a
@-inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
12.0ms
a
@0
(+.f64 1 (exp.f64 a))
4.0ms
b
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms
a
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite82.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
816×prod-diff_binary64
453×log-prod_binary64
317×fma-def_binary64
291×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
118936
2266236
Stop Event
1×node limit
Counts
4 → 192
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 1 (exp.f64 a))
Outputs
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(/.f64 b (+.f64 (exp.f64 a) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 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#<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 pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (exp.f64 (*.f64 3 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) 1) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) 1) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(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 log.f64 (+.f64 1 (expm1.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 (exp.f64 a) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (+.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (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)))))

simplify55.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
746×fma-neg_binary64
529×fma-def_binary64
383×distribute-rgt-in_binary64
314×associate-+l+_binary64
303×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080602
1246560
2938532
34156527
Stop Event
1×node limit
Counts
236 → 224
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 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
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(-.f64 (fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (*.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 (pow.f64 a 3) (*.f64 b 1/48) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 (*.f64 a -1/4) 1/2))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 (*.f64 a -1/4) 1/2))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (*.f64 b (fma.f64 a -1/4 1/2)) (*.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(*.f64 b (-.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 (*.f64 a a) 1/8))
(fma.f64 1/2 a (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))
(fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 a (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 (*.f64 a a) 1/8)))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 (*.f64 a a) 1/8 (*.f64 -1/192 (pow.f64 a 4))))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 1/2 a) a))
(+.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 (+.f64 2 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))
(+.f64 2 (fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 3) 1/6 a)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.7b
(log1p.f64 (exp.f64 b))
Compiler

Compiled 8 to 4 computations (50% saved)

series32.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
18.0ms
b
@-inf
(log1p.f64 (exp.f64 b))
14.0ms
b
@inf
(log1p.f64 (exp.f64 b))
1.0ms
b
@0
(log1p.f64 (exp.f64 b))

rewrite42.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
318×pow1_binary64
312×associate-*l*_binary64
305×add-sqr-sqrt_binary64
300×*-un-lft-identity_binary64
291×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
1735
28195
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/4) (*.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) 1) (+.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 1 (log1p.f64 (exp.f64 b)))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 1 (log1p.f64 (exp.f64 b)))) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) 2))))))

simplify70.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
580×associate-/l/_binary64
556×associate-/r/_binary64
462×associate-*l*_binary64
426×associate-/l*_binary64
421×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02387
15185
29985
324879
468379
5219779
6357479
7401379
8491279
Stop Event
1×node limit
Counts
56 → 53
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (exp.f64 b))
✓1.7b
(log.f64 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 15 to 9 computations (40% saved)

series61.0ms (0.3%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
59.0ms
b
@inf
(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms
b
@0
(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms
b
@-inf
(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms
b
@0
(+.f64 1 (exp.f64 b))
0.0ms
b
@-inf
(+.f64 1 (exp.f64 b))

rewrite50.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
533×pow1_binary64
518×add-sqr-sqrt_binary64
494×add-log-exp_binary64
494×log1p-expm1-u_binary64
494×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
111511
2134511
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.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 (E.f64) (log1p.f64 (exp.f64 b)))))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (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)))))

simplify122.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1923×fma-def_binary64
803×unswap-sqr_binary64
486×sqr-pow_binary64
426×*-commutative_binary64
277×cube-prod_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
02885
17079
216479
346069
4129368
5275268
6423068
7436368
8457668
9484168
10519766
11649366
12716566
13772766
Stop Event
1×node limit
Counts
61 → 66
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
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
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 b (fma.f64 1/2 b 1) 2)
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/6 (pow.f64 b 3) (fma.f64 (fma.f64 1/2 b 1) b 2))
(fma.f64 b (*.f64 b (fma.f64 b 1/6 1/2)) (+.f64 2 b))
(fma.f64 b (fma.f64 b (fma.f64 b 1/6 1/2) 1) 2)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (+.f64 1 b))
✓2.3b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
Compiler

Compiled 23 to 13 computations (43.5% saved)

series42.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
14.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
14.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
10.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite66.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
915×pow1_binary64
851×add-log-exp_binary64
850×log1p-expm1-u_binary64
850×expm1-log1p-u_binary64
834×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
116620
2228420
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (expm1.f64 a) b)) (/.f64 (pow.f64 (+.f64 1 b) 2) (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (/.f64 1 (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (+.f64 (pow.f64 (+.f64 1 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a (log1p.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (-.f64 (expm1.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))) (neg.f64 (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 b 3)) (+.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (-.f64 (*.f64 b b) (*.f64 (+.f64 (exp.f64 a) 1) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (+.f64 1 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (*.f64 b b)) (-.f64 (+.f64 (exp.f64 a) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 b)) 2) (cbrt.f64 (+.f64 1 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)) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 b)) (sqrt.f64 (+.f64 1 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 1 b))))))

simplify53.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
718×associate-*l/_binary64
510×distribute-rgt-in_binary64
505×distribute-lft-in_binary64
403×associate-/r/_binary64
348×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097773
1278743
2865732
33782724
Stop Event
1×node limit
Counts
106 → 98
Calls
Call 1
Inputs
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
Outputs
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (*.f64 (*.f64 1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 1/2 (*.f64 a (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (log.f64 (+.f64 2 b))))
(fma.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (*.f64 a (*.f64 a 1/2)) (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 -1/2 (pow.f64 (+.f64 2 b) 2))) (log.f64 (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(+.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 3 (pow.f64 (+.f64 2 b) 2))))) (*.f64 (*.f64 1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 1/2 (*.f64 a (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 b)) (-.f64 (/.f64 2 (pow.f64 (+.f64 2 b) 3)) (/.f64 3 (pow.f64 (+.f64 2 b) 2)))))))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 b)) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3 (pow.f64 (+.f64 2 b) 2))))) (log.f64 (+.f64 2 b)))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 -1/2 (pow.f64 (+.f64 2 b) 2))) (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 b) 3)) (*.f64 (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -3 (pow.f64 (+.f64 2 b) 2))) 1/6)) (log.f64 (+.f64 2 b)))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (+.f64 (/.f64 (*.f64 b -1/2) (+.f64 1 (exp.f64 a))) 1) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (*.f64 1/3 (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (*.f64 (+.f64 (/.f64 (*.f64 b -1/2) (+.f64 1 (exp.f64 a))) 1) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (+.f64 (/.f64 1 b) (log.f64 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (+.f64 (/.f64 1 b) (log.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b)))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 2 (+.f64 b a))
(+.f64 b (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 b a)))
(+.f64 (+.f64 b a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (+.f64 b a)))
(fma.f64 a (*.f64 a 1/2) (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) (fma.f64 1/6 (pow.f64 a 3) b)))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) b)) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (+.f64 b (fma.f64 1/6 (pow.f64 a 3) a))))
(+.f64 (+.f64 b (fma.f64 1/6 (pow.f64 a 3) a)) (fma.f64 a (*.f64 a 1/2) 2))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))

eval134.0ms (0.7%)

Compiler

Compiled 7041 to 3923 computations (44.3% saved)

prune124.0ms (0.6%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New46619485
Fresh202
Picked101
Done325
Total47221493
Error
1.2b
Counts
493 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
34.5b
(log.f64 (+.f64 2 b))
▶34.9b
(log.f64 2)
▶1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))
1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
▶3.1b
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
✓34.6b
(log1p.f64 (exp.f64 b))
34.4b
(+.f64 (*.f64 1/2 b) (log.f64 2))
21.2b
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))
1.6b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
32.1b
(+.f64 (log1p.f64 (exp.f64 a)) (-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))
✓33.8b
(log1p.f64 (exp.f64 a))
35.0b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
▶34.9b
(+.f64 (*.f64 1/2 a) (log.f64 2))
▶35.3b
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
63.1b
(log.f64 b)
35.4b
(log.f64 (+.f64 2 (+.f64 a b)))
28.4b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
1.6b
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
28.6b
(/.f64 b (+.f64 1 (exp.f64 a)))
Compiler

Compiled 500 to 352 computations (29.6% saved)

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))
✓0.0b
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
✓0.4b
(log1p.f64 (+.f64 (exp.f64 a) 1))
Compiler

Compiled 45 to 25 computations (44.4% saved)

series59.0ms (0.3%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
26.0ms
a
@inf
(log1p.f64 (+.f64 (exp.f64 a) 1))
24.0ms
a
@-inf
(log1p.f64 (+.f64 (exp.f64 a) 1))
1.0ms
a
@0
(log1p.f64 (+.f64 (exp.f64 a) 1))
1.0ms
a
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))
1.0ms
a
@0
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))

rewrite160.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
859×prod-diff_binary64
490×log-prod_binary64
302×fma-def_binary64
267×pow2_binary64
184×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
121139
2289239
Stop Event
1×node limit
Counts
4 → 189
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (exp.f64 a) 1))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))
(/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))
Outputs
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simplify102.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
746×fma-neg_binary64
541×fma-def_binary64
383×distribute-rgt-in_binary64
317×associate-+l+_binary64
303×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081850
1244810
2934784
34212779
Stop Event
1×node limit
Counts
261 → 223
Calls
Call 1
Inputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 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)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
Outputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(fma.f64 1/3 a (log.f64 3))
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 a (*.f64 a 1/9) (log.f64 3)))
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3))))
(fma.f64 1/3 a (fma.f64 1/81 (pow.f64 a 3) (fma.f64 a (*.f64 a 1/9) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
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))
(+.f64 a (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 2 (fma.f64 (*.f64 a a) 1/2 a))
(+.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 (+.f64 a 2) (*.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 a (*.f64 a 1/2) 2))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (-.f64 1/2 (*.f64 b 1/4)) (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (-.f64 1/2 (*.f64 b 1/4)) (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 b (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 a (-.f64 1/2 (*.f64 b 1/4)) (fma.f64 1/2 b (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(-.f64 (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 b (log.f64 2)))) (*.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(fma.f64 1/2 b (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 (pow.f64 a 3) (*.f64 b 1/48) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 a b)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 a b)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 (neg.f64 (pow.f64 a 3)) (+.f64 0 (*.f64 b -1/48)) (fma.f64 -1/4 (*.f64 a b) (*.f64 (*.f64 a a) 0))))
(-.f64 (*.f64 b (fma.f64 a -1/4 1/2)) (*.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(*.f64 b (-.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))

localize7.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 13 computations (18.8% saved)

series6.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
5.0ms
a
@0
(+.f64 (*.f64 1/2 a) (log.f64 2))
1.0ms
a
@inf
(+.f64 (*.f64 1/2 a) (log.f64 2))
0.0ms
a
@-inf
(+.f64 (*.f64 1/2 a) (log.f64 2))

rewrite54.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
728×pow1_binary64
681×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
668×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11507
218707
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 a) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 a (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 a a) 1/4) (-.f64 (*.f64 1/2 a) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 a) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 a (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 a (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) (sqrt.f64 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 a) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 a a) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) (+.f64 (*.f64 (pow.f64 a 3) 1/8) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 a a) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 a a) 1/4) (*.f64 1/2 (*.f64 a (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 a) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 a (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 a (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 a) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 a)) 2) (cbrt.f64 (*.f64 1/2 a)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 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)) (log.f64 2))))))

simplify6.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1711
Stop Event
1×saturated
Counts
38 → 37
Calls
Call 1
Inputs
(log.f64 2)
(*.f64 1/2 a)
(*.f64 1/2 a)
Outputs
(log.f64 2)
(*.f64 1/2 a)
(*.f64 1/2 a)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
✓0.1b
(*.f64 -1/192 (pow.f64 a 4))
✓0.2b
(*.f64 1/8 (pow.f64 a 2))
✓16.7b
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
Compiler

Compiled 72 to 59 computations (18.1% saved)

series5.0ms (0%)

Counts
4 → 12
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
1.0ms
a
@0
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
0.0ms
a
@inf
(*.f64 -1/192 (pow.f64 a 4))
0.0ms
a
@inf
(*.f64 1/8 (pow.f64 a 2))
0.0ms
a
@-inf
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))

rewrite102.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
867×fma-def_binary64
725×log-prod_binary64
444×fma-neg_binary64
288×expm1-udef_binary64
287×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01651
135851
2468149
Stop Event
1×node limit
Counts
4 → 170
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(*.f64 1/8 (pow.f64 a 2))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 a 8) 1/36864) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 -1/8 (*.f64 a a)))) (/.f64 (*.f64 (pow.f64 a 4) 1/64) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 -1/8 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) (pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) 2) (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 a 6) 1/512 (*.f64 (pow.f64 (pow.f64 a 4) 3) -1/7077888)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 a 8) 1/36864 (*.f64 (pow.f64 a 4) 1/64)) (*.f64 -1/192 (*.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 a 8) 1/36864) (*.f64 (pow.f64 a 4) 1/64)) (/.f64 1 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 -1/8 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 a 8) 1/36864 (*.f64 (pow.f64 a 4) 1/64)) (*.f64 -1/192 (*.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))) (fma.f64 (pow.f64 a 6) 1/512 (*.f64 (pow.f64 (pow.f64 a 4) 3) -1/7077888))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 -1/8 (*.f64 a a))) (-.f64 (*.f64 (pow.f64 a 8) 1/36864) (*.f64 (pow.f64 a 4) 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 6) 1/512 (*.f64 (pow.f64 (pow.f64 a 4) 3) -1/7077888)) (-.f64 (fma.f64 (pow.f64 a 8) 1/36864 (*.f64 (pow.f64 a 4) 1/64)) (*.f64 -1/192 (*.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 6) 1/512 (*.f64 (pow.f64 (pow.f64 a 4) 3) -1/7077888)) (fma.f64 (pow.f64 a 4) 1/64 (-.f64 (*.f64 (pow.f64 a 8) 1/36864) (*.f64 -1/192 (*.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a 8) 1/36864) (*.f64 (pow.f64 a 4) 1/64)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 -1/8 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 a 6) 1/512 (*.f64 (pow.f64 (pow.f64 a 4) 3) -1/7077888))) (neg.f64 (-.f64 (fma.f64 (pow.f64 a 8) 1/36864 (*.f64 (pow.f64 a 4) 1/64)) (*.f64 -1/192 (*.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a 8) 1/36864) (*.f64 (pow.f64 a 4) 1/64))) (neg.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 -1/8 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 4) 1/64 (neg.f64 (*.f64 (pow.f64 a 8) 1/36864))) (-.f64 (*.f64 a (*.f64 a 1/8)) (*.f64 -1/192 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/192 (pow.f64 a 4)))) (pow.f64 (pow.f64 (exp.f64 a) a) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 a 4)) -1/192) (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/192 (pow.f64 a 4)))) (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 1/8)))) (pow.f64 (exp.f64 (pow.f64 a 4)) -1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a) a) 1/8) (+.f64 1 (expm1.f64 (*.f64 -1/192 (pow.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 1/8)))) (+.f64 1 (expm1.f64 (*.f64 -1/192 (pow.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a 1/8) (*.f64 -1/192 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 4) -1/192 (*.f64 a (*.f64 a 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/192 (pow.f64 a 4)) 1 (*.f64 a (*.f64 a 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 1/8 (*.f64 -1/192 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) -1/192) (*.f64 a (*.f64 a 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a 1/8)) 1 (*.f64 -1/192 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 a (*.f64 a 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a 1/8)) (*.f64 -1/192 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/192 (pow.f64 a 4))) (cbrt.f64 (*.f64 (pow.f64 a 8) 1/36864)) (*.f64 a (*.f64 a 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 a 8) 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(2) ((x fma.f64 (log.f64 2) 1 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))) 1 (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 1/2) (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 a 1/2 (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)) (fma.f64 a (*.f64 a 1/8) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) 2) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (*.f64 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 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) (pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) 2) (fma.f64 a 1/2 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) 2) (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) (fma.f64 a 1/2 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a 1/2)) (pow.f64 (cbrt.f64 (*.f64 a 1/2)) 2) (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/2)) 2) (cbrt.f64 (*.f64 a 1/2)) (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/2) (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) (fma.f64 a 1/2 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a 1/2)) (sqrt.f64 (*.f64 a 1/2)) (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (-.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) (pow.f64 (log.f64 2) 2))) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 a 6) 1/512 (*.f64 (pow.f64 (pow.f64 a 4) 3) -1/7077888)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 a 8) 1/36864 (*.f64 (pow.f64 a 4) 1/64)) (*.f64 -1/192 (*.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))) (fma.f64 a 1/2 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 2)) (/.f64 1 (-.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (pow.f64 a 8) 1/36864) (*.f64 (pow.f64 a 4) 1/64)) (/.f64 1 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 -1/8 (*.f64 a a)))) (fma.f64 a 1/2 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a 1/2 (log.f64 2)) 1 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))) (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)))) (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))) (fma.f64 a (*.f64 a 1/8) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) (cbrt.f64 (fma.f64 a 1/2 (log.f64 2)))) (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))) (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))) (fma.f64 a (*.f64 a 1/8) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 a 1/2 (log.f64 2))) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))))))

simplify142.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
794×fma-def_binary64
787×sqr-pow_binary64
452×associate-*l*_binary64
444×*-commutative_binary64
355×cube-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018125
140123
280121
3190114
4536114
51894114
63933114
74201114
84469114
94770114
105109114
115474114
125966114
136499114
147123114
157874114
Stop Event
1×node limit
Counts
182 → 182
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 a 2))
(*.f64 -1/192 (pow.f64 a 4))
(*.f64 -1/192 (pow.f64 a 4))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))
Outputs
(*.f64 1/8 (pow.f64 a 2))
(*.f64 1/8 (*.f64 a a))
(*.f64 -1/192 (pow.f64 a 4))
(*.f64 -1/192 (pow.f64 a 4))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 a 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/8 (*.f64 a a)))
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (log.f64 2)))
(fma.f64 1/8 (*.f64 a a) (fma.f64 a 1/2 (log.f64 2)))
(fma.f64 a (fma.f64 1/8 a 1/2) (log.f64 2))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (*.f64 a (fma.f64 (*.f64 a a) -1/192 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))
(fma.f64 1/2 a (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a))))
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4))))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (+.f64 (*.f64 1/8 a) 1/2)))
(fma.f64 a (fma.f64 1/8 a 1/2) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (fma.f64 1/8 a 1/2)))
(*.f64 a (fma.f64 1/8 a (fma.f64 -1/192 (pow.f64 a 3) 1/2)))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (*.f64 a (fma.f64 (*.f64 a a) -1/192 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))
(fma.f64 1/2 a (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a))))
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4))))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (+.f64 (*.f64 1/8 a) 1/2)))
(fma.f64 a (fma.f64 1/8 a 1/2) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (fma.f64 1/8 a 1/2)))
(*.f64 a (fma.f64 1/8 a (fma.f64 -1/192 (pow.f64 a 3) 1/2)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 b (+.f64 (exp.f64 a) 1))
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
✓0.8b
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
✓1.0b
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
Compiler

Compiled 55 to 27 computations (50.9% saved)

series29.0ms (0.1%)

Counts
4 → 80
Calls

24 calls:

TimeVariablePointExpression
7.0ms
b
@0
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
4.0ms
a
@0
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
3.0ms
a
@0
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
2.0ms
a
@inf
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
2.0ms
a
@-inf
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite90.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
810×prod-diff_binary64
521×log-prod_binary64
298×fma-def_binary64
288×pow2_binary64
197×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01259
125859
2316759
Stop Event
1×node limit
Counts
4 → 189
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(/.f64 b (+.f64 (exp.f64 a) 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.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 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (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 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 (*.f64 3 a)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))))))

simplify125.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
744×fma-neg_binary64
457×+-commutative_binary64
340×fma-def_binary64
339×associate-*r*_binary64
273×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02603979
19573466
239933324
372803324
Stop Event
1×node limit
Counts
269 → 185
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3)
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9)))))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (pow.f64 a 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))))
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 7)) 1/9))) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (pow.f64 1 4) 1/9)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))) (pow.f64 b 3)))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 7)) 1/9))) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 a (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(+.f64 (*.f64 a (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (*.f64 2/9 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 8)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))))))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 b) (log.f64 2))))))
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3))
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3))
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3))
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3))
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3))
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3))
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3))
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3))
(*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3))
(+.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)) (*.f64 b (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))))))
(+.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)) (+.f64 (*.f64 b (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))))) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))))))))
(+.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)) (+.f64 (*.f64 b (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))))) (+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9)))))) (*.f64 (+.f64 (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (pow.f64 1 4) 1/9)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))))) (*.f64 -2/27 (*.f64 (/.f64 1 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 1 1/9))))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (pow.f64 1 4) 1/9)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3))))))))) (pow.f64 b 3)))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
Outputs
(pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3)
(cbrt.f64 (fma.f64 1/2 b (log.f64 2)))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))
(+.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 1/2 (*.f64 -1/4 b)) a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 b 1/4)) (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/3 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9)))))
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(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 -1/2 (*.f64 b 0))))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (+.f64 0 (*.f64 b -1/48)) (pow.f64 a 3))))
(-.f64 (*.f64 b (+.f64 1/2 (*.f64 a -1/4))) (*.f64 (*.f64 b -1/48) (pow.f64 a 3)))
(fma.f64 b (+.f64 1/2 (*.f64 a -1/4)) (*.f64 (pow.f64 a 3) (neg.f64 (*.f64 b -1/48))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))

eval549.0ms (2.8%)

Compiler

Compiled 15438 to 10641 computations (31.1% saved)

prune122.0ms (0.6%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New61215627
Fresh10414
Picked101
Done156
Total62424648
Error
1.2b
Counts
648 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
▶34.4b
(+.f64 (*.f64 1/2 b) (log.f64 2))
✓34.9b
(log.f64 2)
29.1b
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))) 3)
✓1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))
28.6b
(/.f64 b (+.f64 (exp.f64 a) 1))
63.1b
(log.f64 b)
35.3b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3)
4.3b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3) 3)
28.4b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
✓34.6b
(log1p.f64 (exp.f64 b))
▶1.6b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
32.1b
(+.f64 (log1p.f64 (exp.f64 a)) (-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))
35.4b
(log.f64 (+.f64 2 (+.f64 a b)))
21.2b
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
✓33.8b
(log1p.f64 (exp.f64 a))
35.0b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
✓34.9b
(+.f64 (*.f64 1/2 a) (log.f64 2))
2.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 3))))
34.5b
(log.f64 (+.f64 2 b))
▶62.3b
(*.f64 1/2 a)
1.6b
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
▶35.3b
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))))
▶1.4b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))))
35.1b
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 a a))))
Compiler

Compiled 504 to 385 computations (23.6% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (expm1.f64 a))
✓0.0b
(/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a))))
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))))
✓0.1b
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))
Compiler

Compiled 58 to 22 computations (62.1% saved)

series12.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))))
1.0ms
a
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))))
1.0ms
b
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))))
1.0ms
a
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))))
1.0ms
a
@-inf
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))

rewrite85.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
670×log-prod_binary64
333×pow2_binary64
300×fma-def_binary64
232×pow1/3_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
127750
2396450
Stop Event
1×node limit
Counts
4 → 173
Calls
Call 1
Inputs
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))))
(/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a))))
(/.f64 1 (expm1.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 a) (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2) (/.f64 (expm1.f64 a) (cbrt.f64 (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 (/.f64 0 0))) (/.f64 (expm1.f64 a) (sqrt.f64 (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (/.f64 0 0))) (neg.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 (/.f64 0 0)) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (pow.f64 (cbrt.f64 (expm1.f64 a)) 2)) (cbrt.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (expm1.f64 (/.f64 0 0))) (neg.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (/.f64 0 0)) -1) (neg.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (/.f64 0 0))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (expm1.f64 (/.f64 0 0)) 3) (pow.f64 (expm1.f64 a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (expm1.f64 (/.f64 0 0)) 3) (pow.f64 (/.f64 1 (expm1.f64 a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (expm1.f64 a)) 3) (pow.f64 (expm1.f64 (/.f64 0 0)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (/.f64 0 0)) 3) (pow.f64 (expm1.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (expm1.f64 (/.f64 0 0)) 3) (pow.f64 (/.f64 1 (expm1.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (expm1.f64 a)) 3) (pow.f64 (expm1.f64 (/.f64 0 0)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 a))) 1))))))
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simplify68.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
558×associate--r-_binary64
526×cancel-sign-sub-inv_binary64
526×fma-neg_binary64
429×fma-def_binary64
398×associate--l-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0951357
12731310
28421214
34307966
Stop Event
1×node limit
Counts
245 → 215
Calls
Call 1
Inputs
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)))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 a)) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 a)) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 a)) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 a)) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1) (-.f64 (exp.f64 a) 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 a (-.f64 (+.f64 1/2 (*.f64 1/4 b)) (*.f64 1/2 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1/8 (*.f64 1/12 b))) (+.f64 (*.f64 1/3 b) (*.f64 1/4 b))) (pow.f64 a 2)) (+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 a (-.f64 (+.f64 1/2 (*.f64 1/4 b)) (*.f64 1/2 b))))))
(+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/3 b) (+.f64 (*.f64 1/48 b) (*.f64 1/4 b))) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/6 b) (+.f64 (*.f64 2/3 (-.f64 (*.f64 1/4 b) (*.f64 1/2 b))) (*.f64 1/12 b)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1/8 (*.f64 1/12 b))) (+.f64 (*.f64 1/3 b) (*.f64 1/4 b))) (pow.f64 a 2)) (+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 a (-.f64 (+.f64 1/2 (*.f64 1/4 b)) (*.f64 1/2 b)))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 a (-.f64 (*.f64 1/4 b) (*.f64 1/2 b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 a (-.f64 (*.f64 1/4 b) (*.f64 1/2 b))) (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 b) (*.f64 1/12 b)) (+.f64 (*.f64 1/3 b) (*.f64 1/4 b))))))
(+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/3 b) (+.f64 (*.f64 1/48 b) (*.f64 1/4 b))) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/6 b) (+.f64 (*.f64 2/3 (-.f64 (*.f64 1/4 b) (*.f64 1/2 b))) (*.f64 1/12 b)))))) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 a (-.f64 (*.f64 1/4 b) (*.f64 1/2 b))) (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 b) (*.f64 1/12 b)) (+.f64 (*.f64 1/3 b) (*.f64 1/4 b)))))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1))
(/.f64 1 a)
(-.f64 (/.f64 1 a) 1/2)
(-.f64 (+.f64 (*.f64 1/12 a) (/.f64 1 a)) 1/2)
(-.f64 (+.f64 (*.f64 1/12 a) (+.f64 (*.f64 -1/720 (pow.f64 a 3)) (/.f64 1 a))) 1/2)
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (-.f64 (exp.f64 a) 1))
Outputs
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) a))
(+.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 (+.f64 2 a) (*.f64 1/6 (pow.f64 a 3))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (fma.f64 1/6 (pow.f64 a 3) a)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 a)) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (expm1.f64 (*.f64 2 a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 (exp.f64 (*.f64 2 a)) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (expm1.f64 (*.f64 2 a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 (exp.f64 (*.f64 2 a)) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (expm1.f64 (*.f64 2 a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 (exp.f64 (*.f64 2 a)) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (expm1.f64 (*.f64 2 a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (expm1.f64 (*.f64 2 a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (expm1.f64 (*.f64 2 a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (expm1.f64 (*.f64 2 a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1) (-.f64 (exp.f64 a) 1))
(/.f64 (expm1.f64 (*.f64 2 a)) (expm1.f64 a))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 a (-.f64 (+.f64 1/2 (*.f64 1/4 b)) (*.f64 1/2 b)))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (+.f64 1/2 (*.f64 b -1/4))))
(fma.f64 1/2 b (fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (log.f64 2)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1/8 (*.f64 1/12 b))) (+.f64 (*.f64 1/3 b) (*.f64 1/4 b))) (pow.f64 a 2)) (+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 a (-.f64 (+.f64 1/2 (*.f64 1/4 b)) (*.f64 1/2 b))))))
(fma.f64 (-.f64 (fma.f64 1/2 b (+.f64 1/8 (*.f64 b 1/12))) (*.f64 b 7/12)) (*.f64 a a) (+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (+.f64 1/2 (*.f64 b -1/4)))))
(fma.f64 (*.f64 a a) (+.f64 (fma.f64 1/2 b 1/8) (*.f64 b -1/2)) (fma.f64 1/2 b (fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (log.f64 2))))
(fma.f64 a (*.f64 a 1/8) (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (log.f64 2))))
(+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/3 b) (+.f64 (*.f64 1/48 b) (*.f64 1/4 b))) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/6 b) (+.f64 (*.f64 2/3 (-.f64 (*.f64 1/4 b) (*.f64 1/2 b))) (*.f64 1/12 b)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1/8 (*.f64 1/12 b))) (+.f64 (*.f64 1/3 b) (*.f64 1/4 b))) (pow.f64 a 2)) (+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 a (-.f64 (+.f64 1/2 (*.f64 1/4 b)) (*.f64 1/2 b)))))))
(fma.f64 (pow.f64 a 3) (-.f64 (fma.f64 1/3 b (*.f64 b 13/48)) (fma.f64 1/2 b (fma.f64 1/6 b (fma.f64 2/3 (*.f64 b -1/4) (*.f64 b 1/12))))) (fma.f64 (-.f64 (fma.f64 1/2 b (+.f64 1/8 (*.f64 b 1/12))) (*.f64 b 7/12)) (*.f64 a a) (+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (+.f64 1/2 (*.f64 b -1/4))))))
(fma.f64 (pow.f64 a 3) (-.f64 (*.f64 b 29/48) (+.f64 (fma.f64 b 1/12 (*.f64 b -1/6)) (*.f64 b 2/3))) (fma.f64 (*.f64 a a) (+.f64 (fma.f64 1/2 b 1/8) (*.f64 b -1/2)) (fma.f64 1/2 b (fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (log.f64 2)))))
(fma.f64 a (*.f64 a 1/8) (fma.f64 (pow.f64 a 3) (+.f64 (*.f64 b 1/48) 0) (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (log.f64 2)))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (+.f64 (fma.f64 b -1/4 1/2) (*.f64 a (+.f64 (*.f64 a (*.f64 b 1/48)) 1/8)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b)
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 2 a)) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 2 a)) 1))) b))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 2 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 2 a)) b)))
(fma.f64 (/.f64 b (expm1.f64 (*.f64 2 a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 a (-.f64 (*.f64 1/4 b) (*.f64 1/2 b))))
(fma.f64 1/2 b (*.f64 a (*.f64 b -1/4)))
(fma.f64 a (*.f64 b -1/4) (*.f64 1/2 b))
(*.f64 b (+.f64 (*.f64 a -1/4) 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 a (-.f64 (*.f64 1/4 b) (*.f64 1/2 b))) (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 b) (*.f64 1/12 b)) (+.f64 (*.f64 1/3 b) (*.f64 1/4 b))))))
(fma.f64 1/2 b (*.f64 a (*.f64 b -1/4)))
(fma.f64 a (*.f64 b -1/4) (*.f64 1/2 b))
(*.f64 b (+.f64 (*.f64 a -1/4) 1/2))
(+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/3 b) (+.f64 (*.f64 1/48 b) (*.f64 1/4 b))) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/6 b) (+.f64 (*.f64 2/3 (-.f64 (*.f64 1/4 b) (*.f64 1/2 b))) (*.f64 1/12 b)))))) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 a (-.f64 (*.f64 1/4 b) (*.f64 1/2 b))) (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 b) (*.f64 1/12 b)) (+.f64 (*.f64 1/3 b) (*.f64 1/4 b)))))))
(fma.f64 (pow.f64 a 3) (-.f64 (fma.f64 1/3 b (*.f64 b 13/48)) (fma.f64 1/2 b (fma.f64 1/6 b (fma.f64 2/3 (*.f64 b -1/4) (*.f64 b 1/12))))) (fma.f64 1/2 b (fma.f64 a (*.f64 b -1/4) (*.f64 (*.f64 a a) (-.f64 (*.f64 b 7/12) (*.f64 b 7/12))))))
(fma.f64 (pow.f64 a 3) (-.f64 (*.f64 b 29/48) (+.f64 (fma.f64 b 1/12 (*.f64 b -1/6)) (*.f64 b 2/3))) (fma.f64 1/2 b (fma.f64 a (*.f64 b -1/4) (*.f64 a (*.f64 a 0)))))
(fma.f64 (pow.f64 a 3) (+.f64 (*.f64 b 1/48) 0) (*.f64 b (+.f64 (*.f64 a -1/4) 1/2)))
(fma.f64 (pow.f64 a 3) (*.f64 b 1/48) (*.f64 b (+.f64 (*.f64 a -1/4) 1/2)))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (*.f64 2 a)) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (*.f64 b (-.f64 (exp.f64 a) 1)) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 a))) 1))
(*.f64 b (-.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (+.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 2 a))) (/.f64 -1 (expm1.f64 (*.f64 2 a)))))
(*.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 1 a)
(-.f64 (/.f64 1 a) 1/2)
(+.f64 (/.f64 1 a) -1/2)
(-.f64 (+.f64 (*.f64 1/12 a) (/.f64 1 a)) 1/2)
(+.f64 (fma.f64 1/12 a (/.f64 1 a)) -1/2)
(+.f64 (fma.f64 a 1/12 (/.f64 1 a)) -1/2)
(+.f64 (/.f64 1 a) (fma.f64 a 1/12 -1/2))
(-.f64 (+.f64 (*.f64 1/12 a) (+.f64 (*.f64 -1/720 (pow.f64 a 3)) (/.f64 1 a))) 1/2)
(+.f64 (fma.f64 1/12 a (fma.f64 -1/720 (pow.f64 a 3) (/.f64 1 a))) -1/2)
(+.f64 (fma.f64 a 1/12 (fma.f64 (pow.f64 a 3) -1/720 (/.f64 1 a))) -1/2)
(+.f64 (fma.f64 (pow.f64 a 3) -1/720 (/.f64 1 a)) (fma.f64 a 1/12 -1/2))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (expm1.f64 a))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (expm1.f64 a))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (expm1.f64 a))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (expm1.f64 a))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (expm1.f64 a))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (expm1.f64 a))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (expm1.f64 a))
(/.f64 1 (-.f64 (exp.f64 a) 1))
(/.f64 1 (expm1.f64 a))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
2.0ms
b
@0
(+.f64 (*.f64 1/2 b) (log.f64 2))
0.0ms
b
@inf
(+.f64 (*.f64 1/2 b) (log.f64 2))
0.0ms
b
@-inf
(+.f64 (*.f64 1/2 b) (log.f64 2))

rewrite53.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
728×pow1_binary64
681×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
668×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11507
218707
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 b b) 1/4) (-.f64 (*.f64 1/2 b) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 b) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 b (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 b) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))) (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)) (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 1/2 (*.f64 b (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 b b) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 b (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 b) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 b)) 2) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))))))

simplify6.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1711
Stop Event
1×saturated
Counts
38 → 37
Calls
Call 1
Inputs
(log.f64 2)
(*.f64 1/2 b)
(*.f64 1/2 b)
Outputs
(log.f64 2)
(*.f64 1/2 b)
(*.f64 1/2 b)

localize39.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))))
0.1b
(*.f64 -1/192 (pow.f64 a 4))
✓16.7b
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))
Compiler

Compiled 86 to 67 computations (22.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
a
@0
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))
0.0ms
a
@inf
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))
0.0ms
a
@-inf
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))
0.0ms
a
@-inf
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))))
0.0ms
a
@inf
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))))

rewrite114.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
779×log-prod_binary64
519×fma-neg_binary64
305×expm1-udef_binary64
304×log1p-udef_binary64
237×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01837
141137
2531837
Stop Event
1×node limit
Counts
2 → 98
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 a 8) 1/36864) (-.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 a (*.f64 a 1/8)))) (/.f64 (*.f64 (pow.f64 a 4) 1/64) (-.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) (pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) 2) (cbrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) (sqrt.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 4) 3) -1/7077888) (*.f64 (pow.f64 (*.f64 a a) 3) 1/512)) (/.f64 1 (+.f64 (*.f64 (pow.f64 a 8) 1/36864) (-.f64 (*.f64 (pow.f64 a 4) 1/64) (*.f64 -1/192 (*.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 a 8) 1/36864) (*.f64 (pow.f64 a 4) 1/64)) (/.f64 1 (-.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 a 8) 1/36864) (-.f64 (*.f64 (pow.f64 a 4) 1/64) (*.f64 -1/192 (*.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 a 4) 3) -1/7077888) (*.f64 (pow.f64 (*.f64 a a) 3) 1/512))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/192 (pow.f64 a 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(*.f64 a (*.f64 a 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 1/8)) (*.f64 a (sqrt.f64 1/8)) (*.f64 -1/192 (pow.f64 a 4)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 a a) 1/4) (-.f64 (fma.f64 a 1/2 (log1p.f64 -1/2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))) (/.f64 (pow.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) 2) (-.f64 (fma.f64 a 1/2 (log1p.f64 -1/2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))) 2) (cbrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))) (sqrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 1/4) (*.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) (-.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) (*.f64 a 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1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/4) (*.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) (-.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) (*.f64 a 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) 2))) (neg.f64 (-.f64 (fma.f64 a 1/2 (log1p.f64 -1/2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a 1/2 (log.f64 2)) 3) (pow.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 3)) (+.f64 (*.f64 (fma.f64 a 1/2 (log.f64 2)) (fma.f64 a 1/2 (log.f64 2))) (-.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 2) (*.f64 (fma.f64 a 1/2 (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) 2) (*.f64 (*.f64 a a) 1/4)) (-.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 a 1/2 (log.f64 2)) (fma.f64 a 1/2 (log.f64 2))) (pow.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) 2)) (-.f64 (fma.f64 a 1/2 (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) (exp.f64 (fma.f64 a 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))) (exp.f64 (fma.f64 a 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) (*.f64 (pow.f64 (exp.f64 a) 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))) (*.f64 (pow.f64 (exp.f64 a) 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/2))) (*.f64 2 (exp.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) 1/2) (+.f64 1 (fma.f64 2 (exp.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/2))) (+.f64 1 (fma.f64 2 (exp.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (fma.f64 2 (exp.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) -1)) (pow.f64 (exp.f64 a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 2 (exp.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))) (+.f64 1 (expm1.f64 (*.f64 a 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (fma.f64 2 (exp.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) -1)) (+.f64 1 (expm1.f64 (*.f64 a 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 a) 1/2) 2) (exp.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 a 1/2 (log.f64 2))) (+.f64 1 (expm1.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 a) 1/2) 2) (+.f64 1 (expm1.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (fma.f64 a 1/2 (log.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/2 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 a (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 1/2) (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2))) 2) (cbrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2))) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 1/4)) (cbrt.f64 (*.f64 a 1/2)) (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2))) (sqrt.f64 (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2))) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a 1/2)) (sqrt.f64 (*.f64 a 1/2)) (+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8))) (log.f64 2)))))))

simplify154.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
787×sqr-pow_binary64
460×*-commutative_binary64
440×associate-*l*_binary64
420×fma-def_binary64
355×cube-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020320
148318
2103310
3249294
4670294
52129294
63464294
73732294
84000294
94397294
104890294
115415294
125947294
136478294
147110294
157863294
Stop Event
1×node limit
Counts
122 → 112
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 a 2))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
Outputs
(*.f64 1/8 (pow.f64 a 2))
(*.f64 1/8 (*.f64 a a))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 a 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/8 (*.f64 a a)))
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (log.f64 2)))
(fma.f64 1/8 (*.f64 a a) (fma.f64 a 1/2 (log.f64 2)))
(fma.f64 a (fma.f64 1/8 a 1/2) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a))))
(+.f64 (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4))) (fma.f64 a 1/2 (log.f64 2)))
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(fma.f64 a (fma.f64 1/8 a 1/2) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))
(fma.f64 1/2 a (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a))))
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4))))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (+.f64 1/2 (*.f64 1/8 a))))
(fma.f64 a (fma.f64 1/8 a 1/2) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (fma.f64 1/8 a 1/2)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a))))
(+.f64 (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4))) (fma.f64 a 1/2 (log.f64 2)))
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(fma.f64 a (fma.f64 1/8 a 1/2) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)))
(*.f64 -1/192 (pow.f64 a 4))
(+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (*.f64 a (fma.f64 a (*.f64 a -1/192) 1/8)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (*.f64 1/8 a)))
(*.f64 a (fma.f64 1/8 a (*.f64 -1/192 (pow.f64 a 3))))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))
(fma.f64 1/2 a (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a))))
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4))))
(fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (+.f64 1/2 (*.f64 1/8 a))))
(fma.f64 a (fma.f64 1/8 a 1/2) (*.f64 -1/192 (pow.f64 a 4)))
(*.f64 a (fma.f64 -1/192 (pow.f64 a 3) (fma.f64 1/8 a 1/2)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a))))
(+.f64 (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4))) (fma.f64 a 1/2 (log.f64 2)))
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(fma.f64 a (fma.f64 1/8 a 1/2) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (exp.f64 a))
0.0b
(/.f64 b (+.f64 (exp.f64 a) 1))
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
✓0.0b
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
Compiler

Compiled 47 to 25 computations (46.8% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
b
@0
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
0.0ms
a
@0
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
0.0ms
b
@inf
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
0.0ms
a
@0
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
0.0ms
b
@-inf
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite83.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
490×log-prod_binary64
378×exp-prod_binary64
319×fma-def_binary64
310×pow-prod-down_binary64
267×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
121225
2289625
Stop Event
1×node limit
Counts
2 → 134
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) -2) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) 1) -1/2) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 (*.f64 3 a)))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (+.f64 -1 (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (hypot.f64 1 (sqrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (+.f64 1 (*.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) 1) (+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))) (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 b) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) -2) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 (exp.f64 a) 1) -1/2) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (+.f64 1 (exp.f64 (*.f64 3 a)))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))))))

simplify62.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
746×fma-neg_binary64
429×fma-def_binary64
383×distribute-rgt-in_binary64
305×associate--l+_binary64
295×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060657
1194619
2791593
33790588
Stop Event
1×node limit
Counts
182 → 154
Calls
Call 1
Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (*.f64 b (fma.f64 a -1/4 1/2)) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(*.f64 b (-.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (log.f64 2)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 b 1/2 (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(-.f64 (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 b 1/2 (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(fma.f64 b 1/2 (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 (pow.f64 a 3) (*.f64 b 1/48) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))

eval228.0ms (1.2%)

Compiler

Compiled 12332 to 7883 computations (36.1% saved)

prune102.0ms (0.5%)

Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New60914623
Fresh6814
Picked101
Done369
Total61928647
Error
1.2b
Counts
647 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.4b
(+.f64 (*.f64 1/2 b) (log.f64 2))
21.9b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
✓34.9b
(log.f64 2)
28.6b
(/.f64 b (+.f64 (exp.f64 a) 1))
22.2b
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 3))
56.0b
(*.f64 1/2 b)
35.3b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3)
✓34.6b
(log1p.f64 (exp.f64 b))
28.4b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
32.1b
(+.f64 (log1p.f64 (exp.f64 a)) (-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))
35.4b
(log.f64 (+.f64 2 (+.f64 a b)))
59.1b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (exp.f64 (neg.f64 (log.f64 (expm1.f64 a)))))))
34.4b
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
34.4b
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)) (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log.f64 2) 2))))
✓35.3b
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))))
34.4b
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))) (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (log.f64 2) 3))))
28.8b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (*.f64 1/2 b))))
34.4b
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
33.3b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 a))))
35.1b
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 a a))))
✓33.8b
(log1p.f64 (exp.f64 a))
35.0b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
✓34.9b
(+.f64 (*.f64 1/2 a) (log.f64 2))
2.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 3))))
34.5b
(log.f64 (+.f64 2 b))
44.7b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (pow.f64 (pow.f64 (/.f64 1 (expm1.f64 a)) 3) 1/3))))
4.3b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3) 3)
34.7b
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
Compiler

Compiled 368 to 291 computations (20.9% saved)

regimes127.0ms (0.6%)

Counts
56 → 1
Calls
Call 1
Inputs
(*.f64 1/2 b)
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 (exp.f64 a) 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(log.f64 (+.f64 2 (+.f64 a b)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 a a))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 a a))))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3)
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 a))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)) (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log.f64 2) 2))))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (*.f64 1/2 b))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 1 (expm1.f64 a)))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(+.f64 (log1p.f64 (exp.f64 a)) (-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))
(+.f64 (log1p.f64 (exp.f64 a)) (-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 b b) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))) (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (log.f64 2) 3))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 3))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (exp.f64 (neg.f64 (log.f64 (expm1.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (pow.f64 (pow.f64 (/.f64 1 (expm1.f64 a)) 3) 1/3))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 3))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3) 3)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))) 3)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Calls

9 calls:

30.0ms
b
28.0ms
a
11.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
ErrorSegmentsBranch
1.4b1a
1.4b1b
1.4b1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.4b1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.4b1(+.f64 (exp.f64 a) (exp.f64 b))
1.4b1(+.f64 (exp.f64 a) (exp.f64 b))
1.4b1(exp.f64 a)
1.4b1(exp.f64 b)
1.4b1(exp.f64 b)
Compiler

Compiled 681 to 384 computations (43.6% saved)

regimes116.0ms (0.6%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 (exp.f64 a) 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(log.f64 (+.f64 2 (+.f64 a b)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 a a))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 a a))))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 0 (*.f64 a (*.f64 a 1/8))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3)
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
Outputs
(/.f64 b (+.f64 (exp.f64 a) 1))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
Calls

9 calls:

45.0ms
b
23.0ms
a
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 b)
6.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
1.4b2a
19.7b4b
1.7b2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.7b2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.7b2(+.f64 (exp.f64 a) (exp.f64 b))
1.7b2(+.f64 (exp.f64 a) (exp.f64 b))
1.4b2(exp.f64 a)
27.4b3(exp.f64 b)
27.4b3(exp.f64 b)
Compiler

Compiled 201 to 140 computations (30.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9995077291254005
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes75.0ms (0.4%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 (exp.f64 a) 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(log.f64 (+.f64 2 (+.f64 a b)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 a a))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 a a))))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
Outputs
(/.f64 b (+.f64 (exp.f64 a) 1))
(log.f64 (+.f64 2 (+.f64 a b)))
Calls

6 calls:

32.0ms
b
17.0ms
a
6.0ms
(exp.f64 a)
6.0ms
(exp.f64 b)
6.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
1.6b2a
20.5b4b
1.6b2(exp.f64 a)
1.6b2(exp.f64 a)
27.5b3(exp.f64 b)
27.5b3(exp.f64 b)
Compiler

Compiled 116 to 81 computations (30.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9995077291254005
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes41.0ms (0.2%)

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

4 calls:

21.0ms
b
11.0ms
a
3.0ms
(exp.f64 a)
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
2.0b2a
20.8b4b
2.0b2(exp.f64 a)
2.0b2(exp.f64 a)
Compiler

Compiled 54 to 41 computations (24.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9995077291254005
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes37.0ms (0.2%)

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

3 calls:

20.0ms
b
11.0ms
a
5.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
2.0b2a
20.8b4b
2.0b2(exp.f64 a)
Compiler

Compiled 44 to 33 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9995077291254005
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes15.0ms (0.1%)

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

2 calls:

9.0ms
a
5.0ms
b
Results
ErrorSegmentsBranch
29.4b2a
34.4b1b
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch56.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
56.0ms
-40297023.42007726
-0.0004923920796851986
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes16.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(*.f64 1/2 a)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
Outputs
(*.f64 1/2 b)
(log.f64 (+.f64 2 b))
Calls

2 calls:

10.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
29.5b2a
34.5b1b
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch56.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
56.0ms
-40297023.42007726
-0.0004923920796851986
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes13.0ms (0.1%)

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

2 calls:

7.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
29.8b2a
34.9b1b
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch58.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
57.0ms
-40297023.42007726
-0.0004923920796851986
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes112.0ms (0.6%)

Accuracy

Total -6.3b remaining (-11.3%)

Threshold costs -6.3b (-11.3%)

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

2 calls:

108.0ms
a
3.0ms
b
Results
ErrorSegmentsBranch
56.0b1a
56.0b1b
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify8.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038174
151174
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 2 (+.f64 a b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -173074397715377888/4294967296) (*.f64 1/2 b) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -173074397715377888/4294967296) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -173074397715377888/4294967296) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 2 (+.f64 a b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 a 1/2) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log.f64 2) (*.f64 b 1/2)))
(if (<=.f64 a -173074397715377888/4294967296) (*.f64 1/2 b) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -5408574928605559/134217728) (*.f64 b 1/2) (+.f64 (log.f64 2) (*.f64 b 1/2)))
(if (<=.f64 a -173074397715377888/4294967296) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -5408574928605559/134217728) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -173074397715377888/4294967296) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -5408574928605559/134217728) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)
Compiler

Compiled 133 to 97 computations (27.1% saved)

soundness54.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
679×distribute-rgt-in_binary64
670×distribute-lft-in_binary64
483×associate-*l/_binary64
432×associate-*r/_binary64
377×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074440
1214434
2668428
33076416
Stop Event
1×node limit
Compiler

Compiled 26 to 18 computations (30.8% saved)

end207.0ms (1.1%)

Compiler

Compiled 141 to 93 computations (34% saved)

Profiling

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