Details

Time bar (total: 29.0s)

analyze1.5s (5.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
50%50%0.1%5
50%50%0.1%6
50%50%0.1%7
50%50%0.1%8
50%50%0.1%9
50%50%0.1%10
50%50%0.1%11
50%50%0.1%12
50%50%0.1%13
50%50%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample22.4s (77.2%)

Results
17.5s7585×body8192exit
2.5s1991×body1024valid
959.0ms4463×body128valid
758.0ms1027×body512valid
337.0ms207×body2048valid
260.0ms568×body256valid
Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess26.0ms (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 8 to 6 computations (25% saved)

simplify11.0ms (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)))

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
30.4b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶30.4b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 24 to 18 computations (25% saved)

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓3.0b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series577.0ms (2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
145.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
140.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
139.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
137.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite67.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
721×pow1_binary64
666×add-log-exp_binary64
666×log1p-expm1-u_binary64
666×expm1-log1p-u_binary64
73×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
113818
2181818
Stop Event
1×node limit
Counts
2 → 57
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 (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 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (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 exp.f64 (log.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 expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.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 (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 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 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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.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 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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))

simplify73.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
562×fma-neg_binary64
396×associate-+l+_binary64
328×fma-def_binary64
238×times-frac_binary64
220×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082746
1248742
2902714
34283710
Stop Event
1×node limit
Counts
105 → 89
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 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.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 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (exp.f64 b) 1)
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 1 (+.f64 (exp.f64 b) a))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (exp.f64 a))))
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (+.f64 (exp.f64 a) (*.f64 1/6 (pow.f64 b 3))))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 a (+.f64 1 (exp.f64 b))))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1/2))
(+.f64 (log1p.f64 (exp.f64 b)) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (*.f64 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 b)))))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.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 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 a (+.f64 1 (exp.f64 b))))))) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (log1p.f64 (exp.f64 b))))) (+.f64 (*.f64 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (-.f64 1/6 (/.f64 1/2 (+.f64 1 (exp.f64 b))))) (*.f64 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) -1/2)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (log1p.f64 (exp.f64 b))))) (fma.f64 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (-.f64 1/6 (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) -1/2)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.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 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (fma.f64 1/2 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (fma.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (exp.f64 b) 1)
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a)))
(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 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 1 (+.f64 (exp.f64 b) a))))
(fma.f64 1/2 (*.f64 a a) (fma.f64 1/6 (pow.f64 a 3) (+.f64 1 (+.f64 (exp.f64 b) a))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/6 (pow.f64 a 3) 1)))
(fma.f64 1/6 (pow.f64 a 3) (+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (exp.f64 a))))
(+.f64 (+.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 b (*.f64 b 1/2) b)))
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (+.f64 (exp.f64 a) (*.f64 1/6 (pow.f64 b 3))))))
(+.f64 (+.f64 1 b) (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (*.f64 1/6 (pow.f64 b 3))))
(+.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (fma.f64 1/6 (pow.f64 b 3) (exp.f64 a)))))
(+.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) (fma.f64 1/6 (pow.f64 b 3) (exp.f64 a)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))

prune130.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New85489
Fresh000
Picked101
Done000
Total86490
Error
0.8b
Counts
90 → 4
Alt Table
StatusErrorProgram
30.4b
(log.f64 (/.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))))))
30.4b
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
▶1.6b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
32.2b
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
Compiler

Compiled 1490 to 755 computations (49.3% saved)

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

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

series594.0ms (2.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
132.0ms
a
@-inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
132.0ms
a
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
125.0ms
a
@-inf
(log1p.f64 (exp.f64 a))
123.0ms
a
@inf
(log1p.f64 (exp.f64 a))
28.0ms
b
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite81.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
816×prod-diff_binary64
317×fma-def_binary64
170×expm1-udef_binary64
170×log1p-udef_binary64
153×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118921
2265721
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) 1) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))))))

simplify61.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
969×fma-neg_binary64
403×associate-+l+_binary64
320×associate-*l*_binary64
277×associate-+r+_binary64
255×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042481
1119474
2336462
31237458
43640457
Stop Event
1×node limit
Counts
110 → 94
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 1/2 b))
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b))))) (*.f64 1/4 (*.f64 a b)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (log.f64 2))) (*.f64 1/192 (pow.f64 a 4)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
Outputs
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 1/4 (*.f64 a b)))
(+.f64 (+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b)) (*.f64 -1/4 (*.f64 b a)))
(+.f64 (fma.f64 1/2 a (fma.f64 1/2 b (log.f64 2))) (*.f64 (*.f64 b a) -1/4))
(fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 b (fma.f64 1/2 a (log.f64 2))))
(-.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (fma.f64 b 1/4 -1/2)))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (*.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b))) (*.f64 -1/4 (*.f64 b a)))
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (fma.f64 1/2 b (log.f64 2)))) (*.f64 (*.f64 b a) -1/4))
(fma.f64 a (*.f64 a 1/8) (fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 b (fma.f64 1/2 a (log.f64 2)))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (+.f64 1/2 (fma.f64 a 1/8 (*.f64 b -1/4)))))
(+.f64 (log.f64 2) (fma.f64 1/2 (+.f64 b a) (*.f64 a (fma.f64 a 1/8 (*.f64 b -1/4)))))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b))))) (*.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (*.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b)))) (*.f64 -1/4 (*.f64 b a)))
(+.f64 (+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (log.f64 2))) (*.f64 b (+.f64 1/2 (*.f64 1/48 (pow.f64 a 3))))) (*.f64 (*.f64 b a) -1/4))
(fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2)))))
(+.f64 (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2)) (*.f64 a (+.f64 1/2 (fma.f64 a 1/8 (*.f64 b -1/4)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (log.f64 2)))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))
(fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 a (log.f64 2)))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (log.f64 2))) (*.f64 1/192 (pow.f64 a 4)))
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (log.f64 2))) (*.f64 -1/192 (pow.f64 a 4)))
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (log.f64 2))) (*.f64 (pow.f64 a 4) -1/192))
(fma.f64 (pow.f64 a 4) -1/192 (fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(fma.f64 (pow.f64 a 4) -1/192 (fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 a (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))

prune186.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New91394
Fresh123
Picked011
Done000
Total92698
Error
0.8b
Counts
98 → 6
Alt Table
StatusErrorProgram
✓1.6b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
21.3b
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
30.4b
(log.f64 (/.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))))))
▶2.4b
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
19.9b
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
32.2b
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
Compiler

Compiled 1793 to 1000 computations (44.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1)))
✓0.2b
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
✓0.5b
(pow.f64 (cbrt.f64 b) 2)
✓0.6b
(cbrt.f64 b)

series601.0ms (2.1%)

Counts
4 → 27
Calls

18 calls:

TimeVariablePointExpression
190.0ms
a
@inf
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
185.0ms
a
@-inf
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
39.0ms
b
@-inf
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
34.0ms
a
@inf
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1)))
34.0ms
b
@-inf
(pow.f64 (cbrt.f64 b) 2)

rewrite85.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
547×log-prod_binary64
207×expm1-udef_binary64
207×log1p-udef_binary64
184×log-pow_binary64
166×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01344
126736
2313536
Stop Event
1×node limit
Counts
4 → 105
Calls
Call 1
Inputs
(cbrt.f64 b)
(pow.f64 (cbrt.f64 b) 2)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 b))) (cbrt.f64 (exp.f64 (cbrt.f64 b))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (*.f64 (cbrt.f64 (cbrt.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (*.f64 (pow.f64 b 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 b (cbrt.f64 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 b) 1/3) (pow.f64 (sqrt.f64 b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 b)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 (*.f64 b (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (*.f64 (cbrt.f64 (cbrt.f64 b)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (cbrt.f64 b))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (*.f64 (pow.f64 b 1/6) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 b) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))) (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (/.f64 (+.f64 1 (exp.f64 a)) (cbrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 b 1/6) (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 b 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 b)) (+.f64 -1 (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 b) 1) (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (cbrt.f64 b)) (+.f64 -1 (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 b) -1) (+.f64 -1 (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 b (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (cbrt.f64 b)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (cbrt.f64 b)) (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))))))))

simplify41.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
576×fma-neg_binary64
482×cancel-sign-sub-inv_binary64
416×associate-+l+_binary64
310×associate-+r+_binary64
207×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054447
1157400
2512376
32168372
Stop Event
1×node limit
Counts
132 → 125
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b))))) (*.f64 1/4 (*.f64 a b)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1/2 (pow.f64 b 1/3))
(-.f64 (*.f64 1/2 (pow.f64 b 1/3)) (*.f64 1/4 (*.f64 a (pow.f64 b 1/3))))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 b 1/3)) (*.f64 1/48 (*.f64 (pow.f64 a 3) (pow.f64 b 1/3)))) (*.f64 1/4 (*.f64 a (pow.f64 b 1/3))))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 b 1/3)) (*.f64 1/48 (*.f64 (pow.f64 a 3) (pow.f64 b 1/3)))) (+.f64 (*.f64 1/4 (*.f64 a (pow.f64 b 1/3))) (*.f64 1/480 (*.f64 (pow.f64 a 5) (pow.f64 b 1/3)))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
Outputs
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/2 a (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2))) (*.f64 (*.f64 -1/4 a) b))
(fma.f64 (*.f64 a b) -1/4 (fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2))))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2)))) (*.f64 (*.f64 -1/4 a) b))
(fma.f64 a (*.f64 a 1/8) (fma.f64 (*.f64 a b) -1/4 (fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2)))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (+.f64 1/2 (fma.f64 a 1/8 (*.f64 b -1/4)))))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b))))) (*.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b))))) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (*.f64 a a) (+.f64 (*.f64 b (+.f64 1/2 (*.f64 1/48 (pow.f64 a 3)))) (fma.f64 a 1/2 (log.f64 2)))) (*.f64 (*.f64 -1/4 a) b))
(fma.f64 (*.f64 a b) -1/4 (fma.f64 a 1/2 (fma.f64 a (*.f64 a 1/8) (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2)))))
(+.f64 (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2)) (*.f64 a (+.f64 1/2 (fma.f64 a 1/8 (*.f64 b -1/4)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1/2 (pow.f64 b 1/3))
(*.f64 1/2 (cbrt.f64 b))
(-.f64 (*.f64 1/2 (pow.f64 b 1/3)) (*.f64 1/4 (*.f64 a (pow.f64 b 1/3))))
(+.f64 (*.f64 1/2 (cbrt.f64 b)) (*.f64 -1/4 (*.f64 a (cbrt.f64 b))))
(*.f64 (cbrt.f64 b) (-.f64 1/2 (*.f64 a 1/4)))
(*.f64 (cbrt.f64 b) (+.f64 1/2 (*.f64 a -1/4)))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 b 1/3)) (*.f64 1/48 (*.f64 (pow.f64 a 3) (pow.f64 b 1/3)))) (*.f64 1/4 (*.f64 a (pow.f64 b 1/3))))
(+.f64 (fma.f64 1/2 (cbrt.f64 b) (*.f64 1/48 (*.f64 (pow.f64 a 3) (cbrt.f64 b)))) (*.f64 -1/4 (*.f64 a (cbrt.f64 b))))
(fma.f64 1/2 (cbrt.f64 b) (*.f64 (cbrt.f64 b) (-.f64 (*.f64 1/48 (pow.f64 a 3)) (*.f64 a 1/4))))
(*.f64 (cbrt.f64 b) (-.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (*.f64 a 1/4)))
(*.f64 (cbrt.f64 b) (+.f64 1/2 (*.f64 a (fma.f64 (*.f64 a a) 1/48 -1/4))))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 b 1/3)) (*.f64 1/48 (*.f64 (pow.f64 a 3) (pow.f64 b 1/3)))) (+.f64 (*.f64 1/4 (*.f64 a (pow.f64 b 1/3))) (*.f64 1/480 (*.f64 (pow.f64 a 5) (pow.f64 b 1/3)))))
(-.f64 (fma.f64 1/2 (cbrt.f64 b) (*.f64 1/48 (*.f64 (pow.f64 a 3) (cbrt.f64 b)))) (fma.f64 1/4 (*.f64 a (cbrt.f64 b)) (*.f64 1/480 (*.f64 (cbrt.f64 b) (pow.f64 a 5)))))
(-.f64 (*.f64 (cbrt.f64 b) (+.f64 1/2 (*.f64 1/48 (pow.f64 a 3)))) (*.f64 (cbrt.f64 b) (+.f64 (*.f64 a 1/4) (*.f64 1/480 (pow.f64 a 5)))))
(*.f64 (cbrt.f64 b) (-.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 b 1/3))
(*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))

prune269.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1512153
Fresh044
Picked101
Done011
Total1527159
Error
0.8b
Counts
159 → 7
Alt Table
StatusErrorProgram
30.4b
(log.f64 (/.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))))))
▶2.8b
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 3) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
✓1.6b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
21.3b
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
32.2b
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
26.3b
(fma.f64 (pow.f64 (exp.f64 (log.f64 (cbrt.f64 b))) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
19.9b
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
Compiler

Compiled 3260 to 1744 computations (46.5% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 3) 2)
0.6b
(cbrt.f64 b)
✓0.7b
(cbrt.f64 (cbrt.f64 b))
✓0.7b
(pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)

series840.0ms (2.9%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
259.0ms
b
@-inf
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 3) 2)
245.0ms
b
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)
215.0ms
b
@-inf
(cbrt.f64 (cbrt.f64 b))
25.0ms
b
@0
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 3) 2)
24.0ms
b
@inf
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 3) 2)

rewrite63.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
528×pow1_binary64
501×add-log-exp_binary64
500×log1p-expm1-u_binary64
500×expm1-log1p-u_binary64
486×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
117114
2153414
Stop Event
1×node limit
Counts
3 → 63
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)
(cbrt.f64 (cbrt.f64 b))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 3) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 1/6) (*.f64 (pow.f64 (cbrt.f64 b) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 b (cbrt.f64 b)))) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 b) 1/3) (pow.f64 (sqrt.f64 b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) 2) 3) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 b) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 b) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) 1) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 1/6)) (pow.f64 (cbrt.f64 b) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 b)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 b)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 1/6) (pow.f64 (cbrt.f64 b) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b 1/6) 1/3) (pow.f64 (pow.f64 b 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 b) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 b)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 (*.f64 b (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (*.f64 (cbrt.f64 (cbrt.f64 b)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (cbrt.f64 b))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/6) (*.f64 (pow.f64 b 1/6) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 b) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 b) 1/6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 b) (cbrt.f64 (cbrt.f64 b))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 b) 2)))))))

simplify99.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
676×unswap-sqr_binary64
646×sqr-pow_binary64
293×*-commutative_binary64
268×associate-*l*_binary64
247×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019332
152332
2108332
3299332
41192288
52519288
62703288
73004288
83430288
93905288
104535288
Stop Event
1×node limit
Counts
99 → 72
Calls
Call 1
Inputs
(pow.f64 b 1/3)
(pow.f64 b 1/3)
(pow.f64 b 1/3)
(pow.f64 b 1/3)
(pow.f64 b 1/3)
(pow.f64 b 1/3)
(pow.f64 b 1/3)
(pow.f64 b 1/3)
(*.f64 (pow.f64 (*.f64 -1 b) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 b) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 b) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 b) 1/3) (cbrt.f64 -1))
(pow.f64 b 1/9)
(pow.f64 b 1/9)
(pow.f64 b 1/9)
(pow.f64 b 1/9)
(pow.f64 b 1/9)
(pow.f64 b 1/9)
(pow.f64 b 1/9)
(pow.f64 b 1/9)
(*.f64 (pow.f64 (*.f64 -1 b) 1/9) (pow.f64 (cbrt.f64 -1) 1/3))
(*.f64 (pow.f64 (*.f64 -1 b) 1/9) (pow.f64 (cbrt.f64 -1) 1/3))
(*.f64 (pow.f64 (*.f64 -1 b) 1/9) (pow.f64 (cbrt.f64 -1) 1/3))
(*.f64 (pow.f64 (*.f64 -1 b) 1/9) (pow.f64 (cbrt.f64 -1) 1/3))
(pow.f64 (pow.f64 b 2) 1/3)
(pow.f64 (pow.f64 b 2) 1/3)
(pow.f64 (pow.f64 b 2) 1/3)
(pow.f64 (pow.f64 b 2) 1/3)
(pow.f64 (pow.f64 b 2) 1/3)
(pow.f64 (pow.f64 b 2) 1/3)
(pow.f64 (pow.f64 b 2) 1/3)
(pow.f64 (pow.f64 b 2) 1/3)
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 b 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 b 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 b 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 b 2) 1/3))
Outputs
(pow.f64 b 1/3)
(cbrt.f64 b)
(pow.f64 b 1/3)
(cbrt.f64 b)
(pow.f64 b 1/3)
(cbrt.f64 b)
(pow.f64 b 1/3)
(cbrt.f64 b)
(pow.f64 b 1/3)
(cbrt.f64 b)
(pow.f64 b 1/3)
(cbrt.f64 b)
(pow.f64 b 1/3)
(cbrt.f64 b)
(pow.f64 b 1/3)
(cbrt.f64 b)
(*.f64 (pow.f64 (*.f64 -1 b) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 b)) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 b) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 b)) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 b) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 b)) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 b) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 b)) (cbrt.f64 -1))
(pow.f64 b 1/9)
(*.f64 (pow.f64 b 1/18) (pow.f64 b 1/18))
(pow.f64 (pow.f64 b 1/36) 4)
(pow.f64 b 1/9)
(*.f64 (pow.f64 b 1/18) (pow.f64 b 1/18))
(pow.f64 (pow.f64 b 1/36) 4)
(pow.f64 b 1/9)
(*.f64 (pow.f64 b 1/18) (pow.f64 b 1/18))
(pow.f64 (pow.f64 b 1/36) 4)
(pow.f64 b 1/9)
(*.f64 (pow.f64 b 1/18) (pow.f64 b 1/18))
(pow.f64 (pow.f64 b 1/36) 4)
(pow.f64 b 1/9)
(*.f64 (pow.f64 b 1/18) (pow.f64 b 1/18))
(pow.f64 (pow.f64 b 1/36) 4)
(pow.f64 b 1/9)
(*.f64 (pow.f64 b 1/18) (pow.f64 b 1/18))
(pow.f64 (pow.f64 b 1/36) 4)
(pow.f64 b 1/9)
(*.f64 (pow.f64 b 1/18) (pow.f64 b 1/18))
(pow.f64 (pow.f64 b 1/36) 4)
(pow.f64 b 1/9)
(*.f64 (pow.f64 b 1/18) (pow.f64 b 1/18))
(pow.f64 (pow.f64 b 1/36) 4)
(*.f64 (pow.f64 (*.f64 -1 b) 1/9) (pow.f64 (cbrt.f64 -1) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 b) 1/18) (pow.f64 (neg.f64 b) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 b) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 b) 1/9) (pow.f64 (cbrt.f64 -1) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 b) 1/18) (pow.f64 (neg.f64 b) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 b) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 b) 1/9) (pow.f64 (cbrt.f64 -1) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 b) 1/18) (pow.f64 (neg.f64 b) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 b) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 b) 1/9) (pow.f64 (cbrt.f64 -1) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 b) 1/18) (pow.f64 (neg.f64 b) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 b) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 b 2) 1/3))
(*.f64 (cbrt.f64 (*.f64 b b)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 b 2) 1/3))
(*.f64 (cbrt.f64 (*.f64 b b)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 b 2) 1/3))
(*.f64 (cbrt.f64 (*.f64 b b)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 b 2) 1/3))
(*.f64 (cbrt.f64 (*.f64 b b)) (pow.f64 (cbrt.f64 -1) 2))

prune247.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1262128
Fresh145
Picked101
Done011
Total1287135
Error
0.8b
Counts
135 → 7
Alt Table
StatusErrorProgram
✓1.6b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
21.3b
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
32.2b
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
26.3b
(fma.f64 (pow.f64 (exp.f64 (log.f64 (cbrt.f64 b))) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
30.4b
(log.f64 (/.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))))))
3.4b
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 b))) 3) 3) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
3.1b
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))) 3) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
Compiler

Compiled 3162 to 1708 computations (46% saved)

regimes709.0ms (2.4%)

Accuracy

Total 0.4b remaining (46.2%)

Threshold costs 0.4b (46.2%)

Counts
76 → 1
Compiler

Compiled 8088 to 5860 computations (27.5% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Rules
5×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×distribute-neg-frac_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01644
12444
23144
33344
43444
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (*.f64 b b) (+.f64 (exp.f64 a) 1)) (-.f64 1/2 (/.f64 1/2 (+.f64 (exp.f64 a) 1))))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (*.f64 b b) (+.f64 (exp.f64 a) 1)) (+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 a) 1))))))

end264.0ms (0.9%)

Stop Event
1×fuel
Compiler

Compiled 260 to 177 computations (31.9% saved)

Profiling

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