Details

Time bar (total: 17.0s)

analyze257.0ms (1.5%)

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

Compiled 9 to 7 computations (22.2% saved)

sample13.3s (78.1%)

Results
10.4s8036×body8192exit
1.5s2001×body1024valid
790.0ms5064×body256valid
313.0ms986×body512valid
254.0ms205×body2048valid
Bogosity

preprocess19.0ms (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
32.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.0b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓4.5b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series85.0ms (0.5%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
27.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
19.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite60.0ms (0.4%)

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))))))

simplify51.0ms (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
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)))

eval23.0ms (0.1%)

Compiler

Compiled 1332 to 669 computations (49.8% saved)

prune18.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New80686
Fresh000
Picked011
Done000
Total80787
Error
0.2b
Counts
87 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
32.0b
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
▶34.5b
(log1p.f64 (exp.f64 b))
▶34.6b
(log1p.f64 (exp.f64 a))
▶33.5b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓32.0b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶34.5b
(log.f64 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 104 to 80 computations (23.1% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 14 computations (53.3% saved)

series24.0ms (0.1%)

Counts
2 → 8
Calls

9 calls:

TimeVariablePointExpression
20.0ms
a
@-inf
(/.f64 b (+.f64 1 (exp.f64 a)))
1.0ms
b
@inf
(/.f64 b (+.f64 1 (exp.f64 a)))
1.0ms
b
@0
(/.f64 b (+.f64 1 (exp.f64 a)))
1.0ms
a
@inf
(/.f64 b (+.f64 1 (exp.f64 a)))
1.0ms
a
@0
(/.f64 b (+.f64 1 (exp.f64 a)))

rewrite60.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
764×pow1_binary64
709×add-log-exp_binary64
709×log1p-expm1-u_binary64
709×expm1-log1p-u_binary64
694×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114315
2190115
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(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 -.f64 (+.f64 1 (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))))

simplify53.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
560×cancel-sign-sub-inv_binary64
521×associate-+l+_binary64
510×fma-neg_binary64
304×fma-def_binary64
297×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043110
113391
252974
3252571
4799971
Stop Event
1×node limit
Counts
71 → 76
Calls
Call 1
Inputs
(*.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)))))
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 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 -1/4 a)))
(*.f64 b (fma.f64 -1/4 a 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 -1/4 a)))
(*.f64 b (fma.f64 -1/4 a 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)))))
(fma.f64 (pow.f64 a 3) (neg.f64 (*.f64 b -1/48)) (*.f64 b (fma.f64 -1/4 a 1/2)))
(*.f64 b (-.f64 (fma.f64 -1/4 a 1/2) (*.f64 (pow.f64 a 3) -1/48)))
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 2 (fma.f64 1/2 (*.f64 a a) a))
(+.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 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 a (*.f64 1/2 a) 2))

localize18.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.0b
(log1p.f64 (exp.f64 b))
Compiler

Compiled 8 to 4 computations (50% saved)

series26.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
13.0ms
b
@-inf
(log1p.f64 (exp.f64 b))
13.0ms
b
@inf
(log1p.f64 (exp.f64 b))
1.0ms
b
@0
(log1p.f64 (exp.f64 b))

rewrite45.0ms (0.3%)

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))))))

simplify62.0ms (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))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.0b
(log.f64 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 15 to 9 computations (40% saved)

series24.0ms (0.1%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
23.0ms
b
@inf
(log.f64 (+.f64 1 (exp.f64 b)))
1.0ms
b
@0
(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms
b
@-inf
(log.f64 (+.f64 1 (exp.f64 b)))

rewrite70.0ms (0.4%)

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
065
11155
213455
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.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))))))))

simplify146.0ms (0.9%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01947
14445
29445
324139
466139
5212839
6345139
7371939
8398839
9438539
10487639
11540139
12593439
13646539
14708939
15783839
Stop Event
1×node limit
Counts
24 → 27
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)))))
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)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (+.f64 1 b))
✓3.1b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
Compiler

Compiled 23 to 13 computations (43.5% saved)

series82.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
63.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
14.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
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)))
1.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite62.0ms (0.4%)

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))))))

simplify54.0ms (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)))

eval79.0ms (0.5%)

Compiler

Compiled 3552 to 2099 computations (40.9% saved)

prune48.0ms (0.3%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New24212254
Fresh101
Picked011
Done145
Total24417261
Error
0.2b
Counts
261 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
33.9b
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)
35.9b
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
▶35.2b
(+.f64 (*.f64 1/2 b) (log.f64 2))
1.7b
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
✓0.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶0.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
29.5b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
▶3.4b
(log1p.f64 (+.f64 b (exp.f64 a)))
✓34.5b
(log1p.f64 (exp.f64 b))
✓34.6b
(log1p.f64 (exp.f64 a))
33.5b
(log.f64 (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1))
✓33.5b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓32.0b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
36.7b
(log.f64 (+.f64 b (+.f64 2 a)))
▶35.4b
(log.f64 (+.f64 2 b))
63.0b
(log.f64 b)
▶35.6b
(log.f64 2)
Compiler

Compiled 265 to 207 computations (21.9% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 45 to 25 computations (44.4% saved)

series36.0ms (0.2%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
13.0ms
a
@-inf
(log1p.f64 (+.f64 1 (exp.f64 a)))
13.0ms
a
@inf
(log1p.f64 (+.f64 1 (exp.f64 a)))
7.0ms
a
@-inf
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
1.0ms
a
@0
(log1p.f64 (+.f64 1 (exp.f64 a)))
0.0ms
a
@0
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))

rewrite65.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
846×pow1_binary64
784×add-log-exp_binary64
784×expm1-log1p-u_binary64
783×log1p-expm1-u_binary64
767×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
116323
2210923
Stop Event
1×node limit
Counts
3 → 82
Calls
Call 1
Inputs
(log1p.f64 (+.f64 1 (exp.f64 a)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 2 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 2 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 3) 1) (+.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) 1) (+.f64 (+.f64 2 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (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 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))))

simplify45.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
562×cancel-sign-sub-inv_binary64
541×associate-+l+_binary64
510×fma-neg_binary64
358×fma-def_binary64
330×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060447
1167428
2606411
32745408
Stop Event
1×node limit
Counts
130 → 104
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 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 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 2 (fma.f64 (*.f64 a a) 1/2 (fma.f64 (pow.f64 a 3) 1/6 a)))
(+.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 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 (-.f64 (fma.f64 -1/4 (*.f64 a b) (*.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 (pow.f64 a 3) -1/48)))
(/.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))

localize4.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite42.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
547×pow1_binary64
513×add-log-exp_binary64
512×log1p-expm1-u_binary64
512×expm1-log1p-u_binary64
505×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11086
213406
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.f64 2 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 2 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 2 b))))))))

simplify57.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
511×associate-*l*_binary64
499×fma-def_binary64
482×fma-neg_binary64
385×cancel-sign-sub-inv_binary64
344×associate--l-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049189
1139159
2347159
31025153
42981153
57960153
Stop Event
1×node limit
Counts
32 → 39
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 b))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (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 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 -1/8 (*.f64 b b)))
(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 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 b b)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (fma.f64 -1/8 (*.f64 b b) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (fma.f64 b (*.f64 b -1/8) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b (fma.f64 b 1/24 -1/8)) (log.f64 2)))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b)))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b))))
(+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (log.f64 b) (/.f64 2 (*.f64 b b)))))
(+.f64 (log.f64 b) (-.f64 (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (-.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 2 (*.f64 b 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 (log.f64 -1) (*.f64 2 (/.f64 1 b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b))))
(+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (log.f64 b) (/.f64 2 (*.f64 b b)))))
(+.f64 (log.f64 b) (-.f64 (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (-.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 2 (*.f64 b b)))))

localize9.0ms (0.1%)

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)

series4.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
3.0ms
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))

rewrite67.0ms (0.4%)

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)

localize7.0ms (0%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval66.0ms (0.4%)

Compiler

Compiled 3197 to 2017 computations (36.9% saved)

prune37.0ms (0.2%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New2152217
Fresh347
Picked011
Done189
Total21915234
Error
0.2b
Counts
234 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.9b
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)
▶35.9b
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
✓35.2b
(+.f64 (*.f64 1/2 b) (log.f64 2))
✓0.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶55.9b
(*.f64 1/2 b)
✓3.4b
(log1p.f64 (+.f64 b (exp.f64 a)))
✓34.5b
(log1p.f64 (exp.f64 b))
✓34.6b
(log1p.f64 (exp.f64 a))
▶33.5b
(log.f64 (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1))
✓33.5b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓32.0b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶36.7b
(log.f64 (+.f64 b (+.f64 2 a)))
✓35.4b
(log.f64 (+.f64 2 b))
✓35.6b
(log.f64 2)
35.3b
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
Compiler

Compiled 184 to 148 computations (19.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (+.f64 1 b))
✓0.0b
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓0.0b
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1)
✓2.9b
(log.f64 (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1))
Compiler

Compiled 45 to 29 computations (35.6% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite90.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
636×fma-def_binary64
449×log-prod_binary64
348×pow-prod-down_binary64
319×fma-neg_binary64
272×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
122929
2351429
Stop Event
1×node limit
Counts
3 → 265
Calls
Call 1
Inputs
(log.f64 (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1)
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 (-.f64 1 (+.f64 1 b)) (exp.f64 a))) (/.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) 2) (-.f64 (-.f64 1 (+.f64 1 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a)))) 2) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a)))) 1))))) 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b)) (exp.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 b))) (exp.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (expm1.f64 (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (+.f64 (+.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 b) (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (+.f64 (exp.f64 a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (exp.f64 a)) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 a) 1 (+.f64 (+.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 b) 1 (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 b)) (pow.f64 (cbrt.f64 (+.f64 1 b)) 2) (+.f64 1 (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)) (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 2) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (+.f64 a a))) (+.f64 (+.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) (+.f64 (+.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 b)) (sqrt.f64 (+.f64 1 b)) (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 (+.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a))) 2) (+.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) 2))) 1)))) 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(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) 2)) 2) (cbrt.f64 (+.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) 2)) (sqrt.f64 (+.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (+.f64 1 b) (+.f64 1 (exp.f64 a)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 a) b))))) 1)))))

simplify64.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
728×associate-*l/_binary64
510×distribute-rgt-in_binary64
505×distribute-lft-in_binary64
401×associate-+l+_binary64
400×associate-/r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0104980
1301950
2935939
33955931
Stop Event
1×node limit
Counts
337 → 314
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))
(+.f64 3 b)
(+.f64 3 (+.f64 a b))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 3 (+.f64 a b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 3 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (exp.f64 a))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
b
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
b
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.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 (*.f64 a 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 (log.f64 (+.f64 2 b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 -1/2 (pow.f64 (+.f64 2 b) 2))) (/.f64 a (+.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 (/.f64 1 (+.f64 2 b)) (/.f64 2 (pow.f64 (+.f64 2 b) 3))) (/.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 (fma.f64 1/2 (*.f64 (*.f64 a 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 a (+.f64 2 b))))
(+.f64 (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))))) (log.f64 (+.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)))) (/.f64 a (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 (pow.f64 a 3) (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 2 (pow.f64 (+.f64 2 b) 3))) 1/6) (/.f64 -1/2 (pow.f64 (+.f64 2 b) 2))) (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)))))
(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 (/.f64 b (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 (+.f64 1 (exp.f64 a))) -1/2) 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 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (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 (+.f64 1 (exp.f64 a))) -1/2) 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 1 b) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) 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 (log.f64 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)) (/.f64 (exp.f64 a) 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)) (/.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 (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 (log.f64 b) (+.f64 (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 (exp.f64 a) 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 (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 (log.f64 b) (/.f64 (exp.f64 a) 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 1 b) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) 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 (log.f64 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)) (/.f64 (exp.f64 a) 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)) (/.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 (/.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 (log.f64 b) (+.f64 (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 (exp.f64 a) 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 (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 (log.f64 b) (/.f64 (exp.f64 a) b)))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 2 (+.f64 b 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)))
(+.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 b (+.f64 (fma.f64 a (*.f64 a 1/2) 2) (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.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 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 3 b)
(+.f64 b 3)
(+.f64 3 (+.f64 a b))
(+.f64 (+.f64 3 a) b)
(+.f64 b (+.f64 a 3))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 3 (+.f64 a b)))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 3 a) b))
(+.f64 (+.f64 b a) (fma.f64 1/2 (*.f64 a a) 3))
(+.f64 b (+.f64 a (fma.f64 a (*.f64 a 1/2) 3)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 3 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 3 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) 3))
(+.f64 b (+.f64 (fma.f64 a (*.f64 a 1/2) 3) (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (exp.f64 a))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
b
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
b
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))
(+.f64 2 (+.f64 (exp.f64 a) b))
(+.f64 2 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 2 (exp.f64 a)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 12 computations (36.8% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(log.f64 (+.f64 b (+.f64 2 a)))
1.0ms
b
@0
(log.f64 (+.f64 b (+.f64 2 a)))
1.0ms
a
@inf
(log.f64 (+.f64 b (+.f64 2 a)))
1.0ms
b
@inf
(log.f64 (+.f64 b (+.f64 2 a)))
1.0ms
b
@-inf
(log.f64 (+.f64 b (+.f64 2 a)))

rewrite56.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
924×pow1_binary64
865×add-log-exp_binary64
864×log1p-expm1-u_binary64
864×expm1-log1p-u_binary64
850×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11599
222369
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.f64 b (+.f64 2 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a)))) (log.f64 (sqrt.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 2 a))) 2)) (log.f64 (cbrt.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 b (+.f64 2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2))) (log.f64 (-.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))) (log.f64 (fma.f64 b b (*.f64 (+.f64 2 a) (-.f64 (+.f64 2 a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 b (+.f64 2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 b (+.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) 2) (cbrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) (sqrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 b (+.f64 2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 b (+.f64 2 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 b (+.f64 2 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 b (+.f64 2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 b (+.f64 2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 b (+.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 b (+.f64 2 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 b (+.f64 2 a)))))))))

simplify52.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
683×fma-neg_binary64
502×associate-+l+_binary64
368×fma-def_binary64
362×distribute-rgt-in_binary64
360×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0104656
1314588
21066564
34566560
Stop Event
1×node limit
Counts
44 → 57
Calls
Call 1
Inputs
(log.f64 (+.f64 2 a))
(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (+.f64 (/.f64 b (+.f64 2 a)) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))))
(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) (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2))) (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 a)))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 2 (/.f64 1 a)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2))))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2)))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (/.f64 b a) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 a)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2)))))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2))))))))
Outputs
(log.f64 (+.f64 2 a))
(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))))
(+.f64 (/.f64 b (+.f64 2 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (log.f64 (+.f64 2 a))))
(+.f64 (log.f64 (+.f64 2 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (/.f64 b (+.f64 2 a))))
(+.f64 (log.f64 (+.f64 2 a)) (*.f64 (+.f64 (/.f64 (*.f64 b -1/2) (+.f64 2 a)) 1) (/.f64 b (+.f64 2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (+.f64 (/.f64 b (+.f64 2 a)) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (+.f64 (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3)))))
(+.f64 (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3)) (/.f64 b (+.f64 2 a))) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (log.f64 (+.f64 2 a))))
(+.f64 (log.f64 (+.f64 2 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 2 a) 2)) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 2 a)) 3) (/.f64 b (+.f64 2 a)))))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 2 a)) 3) (log.f64 (+.f64 2 a))) (*.f64 (+.f64 (/.f64 (*.f64 b -1/2) (+.f64 2 a)) 1) (/.f64 b (+.f64 2 a))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (/.f64 a b) (+.f64 (log.f64 b) (/.f64 2 b)))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b))))))
(+.f64 (log.f64 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (/.f64 2 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 a b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 2 b))))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)))))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 a) b) 3) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (+.f64 (log.f64 b) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 a) b) 3) (/.f64 2 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 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b)))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (/.f64 a b) (+.f64 (log.f64 b) (/.f64 2 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b))))))
(+.f64 (log.f64 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (/.f64 2 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 a b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 2 b))))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)))))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3)) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)))))
(+.f64 (/.f64 2 b) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 a) b) 3) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (*.f64 b b)) (/.f64 a b)) (+.f64 (log.f64 b) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 a) b) 3) (/.f64 2 b))))
(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) (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)) (pow.f64 (+.f64 2 b) 2)))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 2)) (log.f64 (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 2 b)) (fma.f64 -1/2 (*.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) a) (/.f64 a (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 2 b)) (*.f64 (+.f64 (/.f64 (*.f64 a -1/2) (+.f64 2 b)) 1) (/.f64 a (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2))) (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))))))
(+.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (fma.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 2)) (/.f64 (*.f64 1/3 (pow.f64 a 3)) (pow.f64 (+.f64 2 b) 3))))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 2)) (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3))))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 -1/2 (*.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) a) (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (log.f64 (+.f64 2 b)))))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (log.f64 (+.f64 2 b))) (*.f64 (+.f64 (/.f64 (*.f64 a -1/2) (+.f64 2 b)) 1) (/.f64 a (+.f64 2 b))))
(*.f64 -1 (log.f64 (/.f64 1 a)))
(neg.f64 (neg.f64 (log.f64 a)))
(log.f64 a)
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a))))
(+.f64 (/.f64 b a) (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)))
(+.f64 (log.f64 a) (+.f64 (/.f64 b a) (/.f64 2 a)))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 2 (/.f64 1 a)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)))))
(+.f64 (log.f64 a) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a)) (/.f64 b a)))
(+.f64 (/.f64 2 a) (+.f64 (log.f64 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 b a))))
(+.f64 (log.f64 a) (+.f64 (/.f64 b a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2)))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a))))))
(+.f64 (log.f64 a) (+.f64 (+.f64 (/.f64 2 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))))) (/.f64 b a)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 b) a) 3) (/.f64 2 a)) (+.f64 (log.f64 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 b a))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(neg.f64 (neg.f64 (log.f64 a)))
(log.f64 a)
(+.f64 (/.f64 b a) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 a)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (/.f64 b a) (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)))
(+.f64 (log.f64 a) (+.f64 (/.f64 b a) (/.f64 2 a)))
(+.f64 (/.f64 b a) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2)))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)))))
(+.f64 (log.f64 a) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a)) (/.f64 b a)))
(+.f64 (/.f64 2 a) (+.f64 (log.f64 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 b a))))
(+.f64 (log.f64 a) (+.f64 (/.f64 b a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 2 a))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 a 2))))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a))))))
(+.f64 (log.f64 a) (+.f64 (+.f64 (/.f64 2 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 a 3))))) (/.f64 b a)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 2 b) a) 3) (/.f64 2 a)) (+.f64 (log.f64 a) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 a a)) (/.f64 b a))))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 27 to 18 computations (33.3% saved)

series9.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

TimeVariablePointExpression
3.0ms
a
@0
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
1.0ms
a
@inf
(/.f64 a (+.f64 2 b))
1.0ms
a
@0
(/.f64 a (+.f64 2 b))
1.0ms
a
@-inf
(/.f64 a (+.f64 2 b))
1.0ms
b
@inf
(/.f64 a (+.f64 2 b))

rewrite65.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
802×prod-diff_binary64
440×log-prod_binary64
294×fma-def_binary64
278×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
118322
2265122
Stop Event
1×node limit
Counts
2 → 108
Calls
Call 1
Inputs
(/.f64 a (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 a (+.f64 2 b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (+.f64 2 b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (+.f64 2 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (cbrt.f64 (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (+.f64 (neg.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) -2) (/.f64 a (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 b) -1/2) (/.f64 a (sqrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 2 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (+.f64 8 (pow.f64 b 3))) (fma.f64 b (-.f64 b 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 4 (*.f64 b b))) (-.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 b) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 2 b) a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (+.f64 (neg.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 2 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 a (+.f64 2 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 a (+.f64 2 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 b) a)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))) (/.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))) 2) (cbrt.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))) (sqrt.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -3) (pow.f64 (log.f64 (+.f64 2 b)) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2)) (/.f64 1 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (+.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -3) (pow.f64 (log.f64 (+.f64 2 b)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -3) (pow.f64 (log.f64 (+.f64 2 b)) 3)) (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -3) (pow.f64 (log.f64 (+.f64 2 b)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (/.f64 (log.f64 (+.f64 2 b)) (/.f64 (+.f64 2 b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2)) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -3) (pow.f64 (log.f64 (+.f64 2 b)) 3))) (neg.f64 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2))) (neg.f64 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (+.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -3) (pow.f64 (log.f64 (+.f64 2 b)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) (-.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2) (pow.f64 (log.f64 (+.f64 2 b)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 2 b) (exp.f64 (/.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (fma.f64 (+.f64 2 b) (exp.f64 (/.f64 a (+.f64 2 b))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))) (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 a (+.f64 2 b))) (+.f64 1 (-.f64 (+.f64 2 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))) (+.f64 1 (-.f64 (+.f64 2 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 b) 1)) (exp.f64 (/.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 2 b) (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 b) 1)) (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 (+.f64 2 b) (exp.f64 (/.f64 a (+.f64 2 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (/.f64 1 (+.f64 2 b)) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a (+.f64 2 b)) 1 (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (+.f64 2 b)) 1 (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 (+.f64 2 b))) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 b) a) -2)) (cbrt.f64 (/.f64 a (+.f64 2 b))) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))) (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (+.f64 2 b))) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (/.f64 a (+.f64 2 b))) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))) (/.f64 a (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 a) (/.f64 1 (+.f64 (neg.f64 b) -2)) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 2 b)) a (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (+.f64 2 b)) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 2 b)) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) -2) (/.f64 a (cbrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (/.f64 a (+.f64 2 b))) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 b) -1/2) (/.f64 a (sqrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 2 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 2 b))) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a (+.f64 8 (pow.f64 b 3))) (fma.f64 b (-.f64 b 2) 4) (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a (-.f64 4 (*.f64 b b))) (-.f64 2 b) (log.f64 (+.f64 2 b)))))))

simplify53.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
546×associate-*l*_binary64
546×fma-def_binary64
543×fma-neg_binary64
364×associate-+l+_binary64
361×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0110576
1318528
2932501
33724470
Stop Event
1×node limit
Counts
135 → 146
Calls
Call 1
Inputs
(*.f64 1/2 a)
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/8 (*.f64 a (pow.f64 b 2))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/8 (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 -1/16 (*.f64 a (pow.f64 b 3))))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(log.f64 (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 (-.f64 1/2 (*.f64 1/4 a)) b)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/8 (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (*.f64 (-.f64 1/2 (*.f64 1/4 a)) b))))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/8 (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 1/24 (*.f64 1/16 a))) (*.f64 (-.f64 1/2 (*.f64 1/4 a)) b)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 a b))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))))) (*.f64 -4 (/.f64 a (pow.f64 b 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b)))))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (log.f64 -1) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 b 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b)))))))
Outputs
(*.f64 1/2 a)
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 a (*.f64 (*.f64 -1/4 a) b))
(fma.f64 1/2 a (*.f64 -1/4 (*.f64 a b)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/8 (*.f64 a (pow.f64 b 2))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 -1/4 a) b)))
(fma.f64 1/2 a (fma.f64 -1/4 (*.f64 a b) (*.f64 a (*.f64 (*.f64 b b) 1/8))))
(fma.f64 a (*.f64 b (*.f64 b 1/8)) (*.f64 a (+.f64 1/2 (*.f64 -1/4 b))))
(*.f64 a (+.f64 1/2 (*.f64 b (+.f64 -1/4 (*.f64 1/8 b)))))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/8 (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 -1/16 (*.f64 a (pow.f64 b 3))))))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 a (*.f64 b b)) (fma.f64 -1/4 (*.f64 a b) (*.f64 (*.f64 -1/16 a) (pow.f64 b 3)))))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 a (*.f64 b b)) (fma.f64 -1/4 (*.f64 a b) (*.f64 a (*.f64 (pow.f64 b 3) -1/16)))))
(fma.f64 1/2 a (fma.f64 a (*.f64 b (*.f64 b 1/8)) (*.f64 a (+.f64 (*.f64 -1/4 b) (*.f64 -1/16 (pow.f64 b 3))))))
(*.f64 a (+.f64 (+.f64 1/2 (*.f64 -1/4 b)) (*.f64 (*.f64 b b) (+.f64 (*.f64 b -1/16) 1/8))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b))
(*.f64 (+.f64 (/.f64 -2 b) 1) (/.f64 a b))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b)))
(+.f64 (/.f64 a b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -2 (/.f64 4 b))))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(+.f64 (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b)) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -2 (/.f64 4 b))))
(+.f64 (/.f64 a b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 (/.f64 4 b) (+.f64 -2 (/.f64 (/.f64 -8 b) b)))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b))
(*.f64 (+.f64 (/.f64 -2 b) 1) (/.f64 a b))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b)))
(+.f64 (/.f64 a b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -2 (/.f64 4 b))))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(+.f64 (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b)) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -2 (/.f64 4 b))))
(+.f64 (/.f64 a b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 (/.f64 4 b) (+.f64 -2 (/.f64 (/.f64 -8 b) b)))))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b 2))
(/.f64 a (+.f64 2 b))
(/.f64 a (+.f64 b 2))
(/.f64 a (+.f64 2 b))
(/.f64 a (+.f64 b 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 (-.f64 1/2 (*.f64 1/4 a)) b)))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 b (+.f64 1/2 (*.f64 -1/4 a))))
(fma.f64 1/2 a (fma.f64 b (+.f64 1/2 (*.f64 a -1/4)) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 b (fma.f64 a -1/4 1/2) (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/8 (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (*.f64 (-.f64 1/2 (*.f64 1/4 a)) b))))
(fma.f64 1/2 a (fma.f64 -1 (*.f64 (*.f64 b b) (+.f64 1/8 (*.f64 a -1/8))) (+.f64 (log.f64 2) (*.f64 b (+.f64 1/2 (*.f64 -1/4 a))))))
(fma.f64 1/2 a (-.f64 (fma.f64 b (+.f64 1/2 (*.f64 a -1/4)) (log.f64 2)) (*.f64 b (*.f64 b (fma.f64 a -1/8 1/8)))))
(-.f64 (fma.f64 1/2 a (fma.f64 b (fma.f64 a -1/4 1/2) (log.f64 2))) (*.f64 b (*.f64 b (fma.f64 a -1/8 1/8))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 b (-.f64 (fma.f64 a -1/4 1/2) (*.f64 b (fma.f64 a -1/8 1/8)))))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/8 (*.f64 -1/8 a)) (pow.f64 b 2))) (+.f64 (log.f64 2) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 1/24 (*.f64 1/16 a))) (*.f64 (-.f64 1/2 (*.f64 1/4 a)) b)))))
(fma.f64 1/2 a (fma.f64 -1 (*.f64 (*.f64 b b) (+.f64 1/8 (*.f64 a -1/8))) (+.f64 (log.f64 2) (fma.f64 (pow.f64 b 3) (+.f64 1/24 (*.f64 -1/16 a)) (*.f64 b (+.f64 1/2 (*.f64 -1/4 a)))))))
(fma.f64 1/2 a (+.f64 (-.f64 (fma.f64 b (+.f64 1/2 (*.f64 a -1/4)) (log.f64 2)) (*.f64 b (*.f64 b (fma.f64 a -1/8 1/8)))) (*.f64 (pow.f64 b 3) (+.f64 1/24 (*.f64 a -1/16)))))
(-.f64 (fma.f64 1/2 a (fma.f64 b (fma.f64 a -1/4 1/2) (fma.f64 (pow.f64 b 3) (fma.f64 a -1/16 1/24) (log.f64 2)))) (*.f64 b (*.f64 b (fma.f64 a -1/8 1/8))))
(fma.f64 1/2 a (+.f64 (fma.f64 b (fma.f64 a -1/4 1/2) (log.f64 2)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b (fma.f64 a -1/16 1/24)) (fma.f64 a -1/8 1/8)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b)) (/.f64 2 b))
(+.f64 (/.f64 a b) (+.f64 (/.f64 2 b) (log.f64 b)))
(+.f64 (/.f64 a b) (+.f64 (log.f64 b) (/.f64 2 b)))
(+.f64 (log.f64 b) (/.f64 (+.f64 a 2) b))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 a b))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 a 2)) (*.f64 b b)) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b))))
(+.f64 (+.f64 (/.f64 a b) (log.f64 b)) (-.f64 (/.f64 2 b) (/.f64 (fma.f64 a 2 2) (*.f64 b b))))
(+.f64 (log.f64 b) (-.f64 (/.f64 (+.f64 a 2) b) (/.f64 (fma.f64 a 2 2) (*.f64 b b))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))))) (*.f64 -4 (/.f64 a (pow.f64 b 3))))
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 a 2)) (*.f64 b b)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b)) (/.f64 8/3 (pow.f64 b 3)))) (/.f64 (*.f64 -4 a) (pow.f64 b 3))))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (+.f64 (+.f64 (/.f64 a b) (log.f64 b)) (-.f64 (/.f64 2 b) (/.f64 (fma.f64 a 2 2) (*.f64 b b)))) (/.f64 8/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 b) (+.f64 (-.f64 (log.f64 b) (/.f64 (fma.f64 a 2 2) (*.f64 b b))) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (fma.f64 4 (/.f64 a (pow.f64 b 3)) (/.f64 a b)))))
(+.f64 (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 (+.f64 a 2) b)) (fma.f64 4 (/.f64 a (pow.f64 b 3)) (-.f64 (log.f64 b) (/.f64 (fma.f64 a 2 2) (*.f64 b 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 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b)) (/.f64 2 b))
(+.f64 (/.f64 a b) (+.f64 (/.f64 2 b) (log.f64 b)))
(+.f64 (/.f64 a b) (+.f64 (log.f64 b) (/.f64 2 b)))
(+.f64 (log.f64 b) (/.f64 (+.f64 a 2) b))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b)))))
(+.f64 (/.f64 2 b) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 a 2)) (*.f64 b b)) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b))))
(+.f64 (+.f64 (/.f64 a b) (log.f64 b)) (-.f64 (/.f64 2 b) (/.f64 (fma.f64 a 2 2) (*.f64 b b))))
(+.f64 (log.f64 b) (-.f64 (/.f64 (+.f64 a 2) b) (/.f64 (fma.f64 a 2 2) (*.f64 b b))))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 a)) (pow.f64 b 2))) (+.f64 (log.f64 -1) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 b 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 2) b)))))))
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 a 2)) (*.f64 b b)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b)) (/.f64 8/3 (pow.f64 b 3)))) (/.f64 (*.f64 -4 a) (pow.f64 b 3))))
(+.f64 (*.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (+.f64 (+.f64 (/.f64 a b) (log.f64 b)) (-.f64 (/.f64 2 b) (/.f64 (fma.f64 a 2 2) (*.f64 b b)))) (/.f64 8/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 b) (+.f64 (-.f64 (log.f64 b) (/.f64 (fma.f64 a 2 2) (*.f64 b b))) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (fma.f64 4 (/.f64 a (pow.f64 b 3)) (/.f64 a b)))))
(+.f64 (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 (+.f64 a 2) b)) (fma.f64 4 (/.f64 a (pow.f64 b 3)) (-.f64 (log.f64 b) (/.f64 (fma.f64 a 2 2) (*.f64 b b)))))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
0.0b
(+.f64 (exp.f64 a) (+.f64 1 b))
3.1b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓3.5b
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)
Compiler

Compiled 43 to 27 computations (37.2% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite74.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
830×prod-diff_binary64
579×fma-def_binary64
451×log-prod_binary64
282×fma-neg_binary64
184×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031
122725
2341019
Stop Event
1×node limit
Counts
2 → 119
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)
(+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (+.f64 b (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 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 1 (-.f64 (expm1.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))) (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(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 1 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a)))) (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))) (*.f64 2 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (/.f64 1 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))))))) 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(2) ((x pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)))))))) (#(struct:change #<rule 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(+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 b (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(log1p.f64 (+.f64 b (exp.f64 a))) -1)) (cbrt.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1))) (cbrt.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1)) (sqrt.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1) (-.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) (/.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) (-.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3)) (/.f64 1 (fma.f64 (log1p.f64 (+.f64 b (exp.f64 a))) (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log1p.f64 (+.f64 b (exp.f64 a))) (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) (-.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3)) (fma.f64 (log1p.f64 (+.f64 b (exp.f64 a))) (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) (-.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)) (-.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))) (neg.f64 (fma.f64 (log1p.f64 (+.f64 b (exp.f64 a))) (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))) (neg.f64 (-.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1) (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3)) 1) (fma.f64 (log1p.f64 (+.f64 b (exp.f64 a))) (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)) 1) (-.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log1p.f64 (+.f64 b (exp.f64 a))) (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) (-.f64 1 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (+.f64 b (exp.f64 a))) (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) (/.f64 1 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))) (cbrt.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)) (sqrt.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))) 1)))))

simplify63.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
673×associate-+l+_binary64
547×associate-+r+_binary64
488×distribute-rgt-in_binary64
469×distribute-lft-in_binary64
407×associate-/r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01151204
13361144
210771122
346871118
Stop Event
1×node limit
Counts
167 → 177
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 1 (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 1 (log.f64 (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 1 (+.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 1 (+.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 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1)
(+.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1)
(+.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1)
(+.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1)
(+.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1)
(+.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1)
(+.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1)
(+.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 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 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 1 (+.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 (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 1 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))
(+.f64 1 (+.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 1 (+.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))) (+.f64 1 (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (+.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 1 (+.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)))))))
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 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))) (log.f64 (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 2 b)) (fma.f64 (*.f64 a a) (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2)))) (/.f64 a (+.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))))))))
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(+.f64 (/.f64 1 b) (+.f64 (+.f64 1 (/.f64 (exp.f64 a) b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (log.f64 b))))
(+.f64 1 (+.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 1 (+.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 (log.f64 b) (/.f64 (exp.f64 a) b)) (+.f64 (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))) 1))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b)) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (log.f64 b)) 1)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b)) (+.f64 (+.f64 1 (/.f64 (exp.f64 a) b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (log.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 -1)))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 b))))
(+.f64 1 (log.f64 b))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b)))))
(+.f64 1 (+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b))))
(+.f64 1 (+.f64 (log.f64 b) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 1 (log.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (+.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 1 (+.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 1 (+.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 1 (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (log.f64 b)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(+.f64 (/.f64 1 b) (+.f64 (+.f64 1 (/.f64 (exp.f64 a) b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (log.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (+.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 1 (+.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 (log.f64 b) (/.f64 (exp.f64 a) b)) (+.f64 (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))) 1))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b)) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (log.f64 b)) 1)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b)) (+.f64 (+.f64 1 (/.f64 (exp.f64 a) b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (log.f64 b))))

eval305.0ms (1.8%)

Compiler

Compiled 15928 to 10396 computations (34.7% saved)

prune136.0ms (0.8%)

Pruning

21 alts after pruning (10 fresh and 11 done)

PrunedKeptTotal
New8719880
Fresh011
Picked101
Done21113
Total87421895
Error
0.2b
Counts
895 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
34.0b
(-.f64 (-.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1) 1)
33.9b
(-.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)
36.3b
(+.f64 (/.f64 a (+.f64 2 b)) (-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1))
33.5b
(+.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1)
✓35.2b
(+.f64 (*.f64 1/2 b) (log.f64 2))
36.0b
(+.f64 (*.f64 1/2 a) (log.f64 2))
✓0.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
3.5b
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
✓55.9b
(*.f64 1/2 b)
✓3.4b
(log1p.f64 (+.f64 b (exp.f64 a)))
✓34.5b
(log1p.f64 (exp.f64 b))
✓34.6b
(log1p.f64 (exp.f64 a))
36.7b
(log.f64 (-.f64 (+.f64 b (+.f64 a 3)) 1))
33.5b
(log.f64 (-.f64 (+.f64 b (+.f64 2 (exp.f64 a))) 1))
✓33.5b
(log.f64 (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1))
✓33.5b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓32.0b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓35.4b
(log.f64 (+.f64 2 b))
36.9b
(log.f64 (+.f64 2 a))
✓35.6b
(log.f64 2)
35.3b
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
Compiler

Compiled 188 to 153 computations (18.6% saved)

regimes69.0ms (0.4%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (-.f64 (+.f64 b (+.f64 a 3)) 1))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
(log.f64 (-.f64 (+.f64 b (+.f64 2 (exp.f64 a))) 1))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1)
(-.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)
(log.f64 (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1))
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)
(-.f64 (-.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1) 1)
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Calls

9 calls:

16.0ms
b
15.0ms
a
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
ErrorSegmentsBranch
0.8b1a
0.8b1b
0.8b1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
0.8b1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
0.8b1(+.f64 (exp.f64 a) (exp.f64 b))
0.8b1(+.f64 (exp.f64 a) (exp.f64 b))
0.8b1(exp.f64 a)
0.8b1(exp.f64 b)
0.8b1(exp.f64 b)
Compiler

Compiled 270 to 172 computations (36.3% saved)

regimes89.0ms (0.5%)

Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (-.f64 (+.f64 b (+.f64 a 3)) 1))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
(log.f64 (-.f64 (+.f64 b (+.f64 2 (exp.f64 a))) 1))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1)
(-.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)
(log.f64 (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1))
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)
(-.f64 (-.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1) 1)
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
Outputs
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

9 calls:

29.0ms
b
14.0ms
a
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
ErrorSegmentsBranch
3.4b1a
2.0b2b
2.1b2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.1b2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.1b2(+.f64 (exp.f64 a) (exp.f64 b))
2.1b2(+.f64 (exp.f64 a) (exp.f64 b))
3.4b1(exp.f64 a)
2.0b2(exp.f64 b)
2.0b2(exp.f64 b)
Compiler

Compiled 228 to 149 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000000049
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes71.0ms (0.4%)

Counts
24 → 3
Calls
Call 1
Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (-.f64 (+.f64 b (+.f64 a 3)) 1))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
(log.f64 (-.f64 (+.f64 b (+.f64 2 (exp.f64 a))) 1))
(*.f64 3 (*.f64 1/3 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) -1) 1)
(-.f64 (+.f64 1 (log1p.f64 (+.f64 b (exp.f64 a)))) 1)
(log.f64 (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1))
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)
(-.f64 (-.f64 (+.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1) 1)
Outputs
(log1p.f64 (+.f64 b (exp.f64 a)))
(log1p.f64 (exp.f64 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
Calls

5 calls:

34.0ms
b
13.0ms
a
8.0ms
(exp.f64 b)
7.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
3.4b1a
2.3b3b
3.4b1(exp.f64 a)
2.3b3(exp.f64 b)
2.3b3(exp.f64 b)
Compiler

Compiled 184 to 122 computations (33.7% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.1381194107151784e+200
+inf
0.0ms
1.000646707900862
1.0959902681113027
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes45.0ms (0.3%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (-.f64 (+.f64 b (+.f64 a 3)) 1))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
Outputs
(*.f64 1/2 b)
(log1p.f64 (exp.f64 b))
Calls

4 calls:

16.0ms
a
14.0ms
b
7.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
29.7b2a
33.0b2b
29.7b2(exp.f64 a)
33.2b2(exp.f64 b)
Compiler

Compiled 92 to 68 computations (26.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.0538163077009213
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes28.0ms (0.2%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (-.f64 (+.f64 b (+.f64 a 3)) 1))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1))
(log1p.f64 (exp.f64 a))
Outputs
(*.f64 1/2 b)
(log1p.f64 (exp.f64 a))
Calls

3 calls:

13.0ms
a
8.0ms
b
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
29.7b2a
34.6b1b
29.7b2(exp.f64 a)
Compiler

Compiled 80 to 60 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.0538163077009213
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes22.0ms (0.1%)

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

2 calls:

12.0ms
a
7.0ms
b
Results
ErrorSegmentsBranch
30.1b2a
35.2b1b
Compiler

Compiled 73 to 55 computations (24.7% saved)

bsearch23.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
23.0ms
-2.922178740627614
-0.062125248560472
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes18.0ms (0.1%)

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

2 calls:

10.0ms
a
5.0ms
b
Results
ErrorSegmentsBranch
30.1b2a
35.2b1b
Compiler

Compiled 49 to 37 computations (24.5% saved)

bsearch23.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
23.0ms
-2.922178740627614
-0.062125248560472
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes18.0ms (0.1%)

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

2 calls:

11.0ms
a
5.0ms
b
Results
ErrorSegmentsBranch
30.1b2a
35.2b1b
Compiler

Compiled 41 to 31 computations (24.4% saved)

bsearch22.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
-2.922178740627614
-0.062125248560472
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes15.0ms (0.1%)

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

2 calls:

10.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
30.3b2a
35.4b1b
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch22.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
-2.922178740627614
-0.062125248560472
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes11.0ms (0.1%)

Accuracy

Total -32.5b remaining (-106.3%)

Threshold costs -32.5b (-106.3%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
Outputs
(*.f64 1/2 b)
(log.f64 2)
Calls

2 calls:

6.0ms
a
3.0ms
b
Results
ErrorSegmentsBranch
30.6b2a
35.6b1b
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch107.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
107.0ms
-5592228.68625379
-2.922178740627614
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
055213
171213
272213
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 b) 1) (log1p.f64 (+.f64 b (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 b) 4728779608739021/4503599627370496) (log1p.f64 (+.f64 b (exp.f64 a))) (if (<=.f64 (exp.f64 b) 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896) (log1p.f64 (exp.f64 b)) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 0) (*.f64 1/2 b) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (*.f64 1/2 b) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 1/2 b) (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 1/2 b) (log.f64 (-.f64 (+.f64 b (+.f64 a 3)) 1)))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 1/2 b) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 1/2 b) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -1501152457450817/268435456) (*.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 b) 1) (log1p.f64 (+.f64 b (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 b) 1) (log1p.f64 (+.f64 (exp.f64 a) b)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 b) 4728779608739021/4503599627370496) (log1p.f64 (+.f64 b (exp.f64 a))) (if (<=.f64 (exp.f64 b) 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896) (log1p.f64 (exp.f64 b)) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 b) 4728779608739021/4503599627370496) (log1p.f64 (+.f64 (exp.f64 a) b)) (if (<=.f64 (exp.f64 b) 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896) (log1p.f64 (exp.f64 b)) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 0) (*.f64 1/2 b) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (*.f64 b 1/2) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (*.f64 1/2 b) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 0) (*.f64 b 1/2) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 1/2 b) (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 b 1/2) (+.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2))))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 1/2 b) (log.f64 (-.f64 (+.f64 b (+.f64 a 3)) 1)))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 b 1/2) (log.f64 (+.f64 (+.f64 b (+.f64 a 3)) -1)))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 1/2 b) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 b 1/2) (log.f64 (+.f64 b (+.f64 a 2))))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 1/2 b) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -3290080771850127/1125899906842624) (*.f64 b 1/2) (log.f64 (+.f64 a 2)))
(if (<=.f64 a -1501152457450817/268435456) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -1501152457450817/268435456) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)
Compiler

Compiled 162 to 117 computations (27.8% 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)

end125.0ms (0.7%)

Compiler

Compiled 166 to 103 computations (38% saved)

Profiling

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