Details

Time bar (total: 4.4s)

analyze18.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%23.7%76.3%0
0%23.7%76.3%1
11.9%11.9%76.3%2
17.8%5.9%76.3%3
20.8%3%76.3%4
22.2%1.5%76.3%5
23%0.7%76.3%6
23.3%0.4%76.3%7
23.3%0.4%76.3%8
23.4%0.3%76.3%9
23.5%0.2%76.3%10
23.5%0.2%76.3%11
23.5%0.2%76.3%12
23.6%0.2%76.3%13
23.6%0.1%76.3%14
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample4.0s (90.7%)

Results
2.4s4392×body1024valid
918.0ms2153×body512valid
362.0ms471×body2048valid
277.0ms1088×body256valid
21.0ms152×body128valid

preprocess30.0ms (0.7%)

Algorithm
egg-herbie
Rules
410×rule--ab--+aa+ab_binary64
325×rule-a-*a1_binary64
325×rule-a--a0_binary64
325×rule-a-+a0_binary64
320×rule-a-/a1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
16818
226818
3158118
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1)
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
(-.f64 -1 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify20.0ms (0.5%)

Algorithm
egg-herbie
Rules
410×rule--ab--+aa+ab_binary64
325×rule-a-*a1_binary64
325×rule-a--a0_binary64
325×rule-a-+a0_binary64
320×rule-a-/a1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
16818
226818
3158118
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1)
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
(-.f64 -1 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
61.7b
Counts
3 → 2
Alt Table
StatusErrorProgram
63.0b
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
61.9b
(-.f64 -1 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))))
Compiler

Compiled 86 to 61 computations (29.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (log1p.f64 n) (-.f64 -1 n))
62.4b
(fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
n
@-inf
(fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))
1.0ms
n
@0
(fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))
1.0ms
n
@inf
(fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))
0.0ms
n
@-inf
(*.f64 (log1p.f64 n) (-.f64 -1 n))
0.0ms
n
@inf
(*.f64 (log1p.f64 n) (-.f64 -1 n))

rewrite47.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
969×rules-31_binary64
969×rules-32_binary64
969×rules-33_binary64
92×add-sqr-sqrt_binary64
89×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
120824
2282324
Stop Event
node limit
Counts
2 → 81
Calls
Call 1
Inputs
(fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))
(*.f64 (log1p.f64 n) (-.f64 -1 n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) (*.f64 n (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 n)) (-.f64 (*.f64 n (log.f64 n)) (*.f64 n (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))) (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 n (log.f64 n)) (neg.f64 (log1p.f64 n))) (*.f64 n (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))) (cbrt.f64 (pow.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 2)) (cbrt.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))) (sqrt.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 3) (+.f64 (pow.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 2) (+.f64 0 (*.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 3) (+.f64 (pow.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 2) (-.f64 0 (*.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 3)) (+.f64 (*.f64 (*.f64 n (log.f64 n)) (*.f64 n (log.f64 n))) (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 2) (*.f64 (*.f64 n (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 -1 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 n (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 -1 n)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) (*.f64 (log1p.f64 n) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) (*.f64 (-.f64 -1 n) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) (fma.f64 (neg.f64 n) (log1p.f64 n) (*.f64 n (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log1p.f64 n) (-.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) (*.f64 (log1p.f64 n) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) (*.f64 (-.f64 -1 n) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) (*.f64 (log1p.f64 n) (-.f64 -1 n))) (*.f64 (log1p.f64 n) (-.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (neg.f64 (log1p.f64 n)) (neg.f64 (log1p.f64 n))) (+.f64 (neg.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (log1p.f64 n)) (*.f64 (log1p.f64 n) (+.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 n (neg.f64 (log1p.f64 n))) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 n) (/.f64 1 (-.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 n) (/.f64 (+.f64 1 (fma.f64 n n (neg.f64 n))) (-.f64 -1 (pow.f64 n 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 n) (/.f64 1 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 3) (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 2) (+.f64 0 (*.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 3) (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 2) (-.f64 0 (*.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 n 3)) (log1p.f64 n)) (+.f64 1 (fma.f64 n n (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (neg.f64 (log1p.f64 n)) 3) (pow.f64 (*.f64 n (log1p.f64 n)) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (+.f64 (*.f64 (*.f64 n (log1p.f64 n)) (*.f64 n (log1p.f64 n))) (*.f64 (neg.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 n 1) (-.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (-.f64 -1 n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 n) 3) (pow.f64 (log1p.f64 n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 n) (-.f64 -1 n) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log1p.f64 n) (neg.f64 (*.f64 n (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 n) (log1p.f64 n) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (log1p.f64 n)) (+.f64 n 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n)) 2)) (cbrt.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))) (sqrt.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 n) (-.f64 -1 n))))))))

simplify32.0ms (0.7%)

Algorithm
egg-herbie
Rules
394×rule-+ab-+ba_binary64
377×rule-a-*a1_binary64
377×rule-a--a0_binary64
377×rule-a-+a0_binary64
369×rule-a-/a1_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080693
1604535
22300419
Stop Event
node limit
Counts
105 → 128
Calls
Call 1
Inputs
(*.f64 n (-.f64 (log.f64 n) 1))
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (*.f64 n (-.f64 (log.f64 n) 1)))
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/6 (pow.f64 n 3)) (*.f64 n (-.f64 (log.f64 n) 1))))
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/6 (pow.f64 n 3)) (+.f64 (*.f64 n (-.f64 (log.f64 n) 1)) (*.f64 -1/12 (pow.f64 n 4)))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (/.f64 1 n))))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (/.f64 1 n)))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (/.f64 1 n))))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 2))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (/.f64 1 n)))))) (*.f64 1/2 (/.f64 1 n)))
(*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))) 1)
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))) (+.f64 1 (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 2))) (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))))) (+.f64 1 (*.f64 1/2 (/.f64 1 n))))
(*.f64 -1 n)
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (*.f64 -1 n))
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/6 (pow.f64 n 3)) (*.f64 -1 n)))
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/6 (pow.f64 n 3)) (+.f64 (*.f64 -1 n) (*.f64 -1/12 (pow.f64 n 4)))))
(*.f64 n (log.f64 (/.f64 1 n)))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 n (log.f64 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 n (log.f64 (/.f64 1 n)))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 2))) (*.f64 n (log.f64 (/.f64 1 n))))) (*.f64 1/2 (/.f64 1 n)))
(*.f64 -1 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) (+.f64 1 (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))) (+.f64 1 (*.f64 1/2 (/.f64 1 n))))
Outputs
(*.f64 n (-.f64 (log.f64 n) 1))
(*.f64 n (+.f64 (log.f64 n) -1))
(-.f64 (*.f64 n (log.f64 n)) n)
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (*.f64 n (-.f64 (log.f64 n) 1)))
(fma.f64 -1/2 (*.f64 n n) (*.f64 n (+.f64 (log.f64 n) -1)))
(fma.f64 n (+.f64 (log.f64 n) -1) (*.f64 n (*.f64 -1/2 n)))
(fma.f64 n (+.f64 (log.f64 n) -1) (*.f64 n (*.f64 n -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/6 (pow.f64 n 3)) (*.f64 n (-.f64 (log.f64 n) 1))))
(fma.f64 -1/2 (*.f64 n n) (fma.f64 1/6 (pow.f64 n 3) (*.f64 n (+.f64 (log.f64 n) -1))))
(fma.f64 -1/2 (*.f64 n n) (fma.f64 n (+.f64 (log.f64 n) -1) (*.f64 1/6 (pow.f64 n 3))))
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/6 (pow.f64 n 3)) (+.f64 (*.f64 n (-.f64 (log.f64 n) 1)) (*.f64 -1/12 (pow.f64 n 4)))))
(fma.f64 -1/2 (*.f64 n n) (fma.f64 1/6 (pow.f64 n 3) (fma.f64 n (+.f64 (log.f64 n) -1) (*.f64 -1/12 (pow.f64 n 4)))))
(fma.f64 -1/2 (*.f64 n n) (fma.f64 n (+.f64 (log.f64 n) -1) (fma.f64 1/6 (pow.f64 n 3) (*.f64 -1/12 (pow.f64 n 4)))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (/.f64 1 n))))
(*.f64 n (fma.f64 -1 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))))
(*.f64 n (-.f64 (log.f64 n) (log.f64 n)))
0
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (/.f64 1 n)))))
(fma.f64 -1 (+.f64 1 (*.f64 -1 (neg.f64 (log.f64 n)))) (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n)))))
(fma.f64 n (-.f64 (log.f64 n) (log.f64 n)) (+.f64 -1 (neg.f64 (log.f64 n))))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (/.f64 1 n))))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (fma.f64 -1 (+.f64 1 (*.f64 -1 (neg.f64 (log.f64 n)))) (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))))) (/.f64 1/2 n))
(-.f64 (fma.f64 n (-.f64 (log.f64 n) (log.f64 n)) (+.f64 -1 (neg.f64 (log.f64 n)))) (/.f64 1/2 n))
(-.f64 (+.f64 -1 (neg.f64 (log.f64 n))) (/.f64 1/2 n))
(-.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 2))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (/.f64 1 n)))))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (+.f64 (/.f64 1/6 (*.f64 n n)) (fma.f64 -1 (+.f64 1 (*.f64 -1 (neg.f64 (log.f64 n)))) (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n)))))) (/.f64 1/2 n))
(-.f64 (fma.f64 -1 (+.f64 (log.f64 n) 1) (fma.f64 n (-.f64 (log.f64 n) (log.f64 n)) (/.f64 (/.f64 1/6 n) n))) (/.f64 1/2 n))
(fma.f64 -1 (+.f64 (log.f64 n) 1) (-.f64 (/.f64 1/6 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))
(*.f64 n (fma.f64 -1 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))))
(*.f64 n (-.f64 (log.f64 n) (log.f64 n)))
0
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))) 1)
(+.f64 (fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (*.f64 n (*.f64 -1 (fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))))) -1)
(+.f64 (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n))) (fma.f64 n (*.f64 -1 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) 0)) -1))
(+.f64 -1 (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))) (+.f64 1 (*.f64 1/2 (/.f64 1 n))))
(-.f64 (fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (*.f64 n (*.f64 -1 (fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))))) (+.f64 1 (/.f64 1/2 n)))
(-.f64 (fma.f64 n (*.f64 -1 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) 0)) (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n)))) (+.f64 1 (/.f64 1/2 n)))
(-.f64 (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n))) (+.f64 1 (/.f64 1/2 n)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 2))) (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))))) (+.f64 1 (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (/.f64 1/6 (*.f64 n n)) (fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (*.f64 n (*.f64 -1 (fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))))))) (+.f64 1 (/.f64 1/2 n)))
(+.f64 (fma.f64 n (*.f64 -1 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) 0)) (/.f64 (/.f64 1/6 n) n)) (-.f64 (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n))) (+.f64 1 (/.f64 1/2 n))))
(+.f64 (/.f64 1/6 (*.f64 n n)) (-.f64 (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n))) (+.f64 1 (/.f64 1/2 n))))
(*.f64 -1 n)
(*.f64 n -1)
(neg.f64 n)
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (*.f64 -1 n))
(fma.f64 -1/2 (*.f64 n n) (*.f64 n -1))
(fma.f64 -1/2 (*.f64 n n) (neg.f64 n))
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/6 (pow.f64 n 3)) (*.f64 -1 n)))
(fma.f64 -1/2 (*.f64 n n) (fma.f64 1/6 (pow.f64 n 3) (*.f64 n -1)))
(fma.f64 1/6 (pow.f64 n 3) (fma.f64 -1/2 (*.f64 n n) (neg.f64 n)))
(fma.f64 -1/2 (*.f64 n n) (fma.f64 1/6 (pow.f64 n 3) (neg.f64 n)))
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/6 (pow.f64 n 3)) (+.f64 (*.f64 -1 n) (*.f64 -1/12 (pow.f64 n 4)))))
(fma.f64 -1/2 (*.f64 n n) (fma.f64 1/6 (pow.f64 n 3) (fma.f64 -1 n (*.f64 -1/12 (pow.f64 n 4)))))
(fma.f64 -1/2 (*.f64 n n) (fma.f64 1/6 (pow.f64 n 3) (fma.f64 -1/12 (pow.f64 n 4) (neg.f64 n))))
(*.f64 n (log.f64 (/.f64 1 n)))
(*.f64 n (neg.f64 (log.f64 n)))
(*.f64 (log.f64 n) (neg.f64 n))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 n (log.f64 (/.f64 1 n))))
(fma.f64 -1 (+.f64 1 (*.f64 -1 (neg.f64 (log.f64 n)))) (*.f64 n (neg.f64 (log.f64 n))))
(fma.f64 n (neg.f64 (log.f64 n)) (+.f64 -1 (neg.f64 (log.f64 n))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 n (log.f64 (/.f64 1 n)))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (fma.f64 -1 (+.f64 1 (*.f64 -1 (neg.f64 (log.f64 n)))) (*.f64 n (neg.f64 (log.f64 n)))) (/.f64 1/2 n))
(-.f64 (fma.f64 n (neg.f64 (log.f64 n)) (+.f64 -1 (neg.f64 (log.f64 n)))) (/.f64 1/2 n))
(-.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 2))) (*.f64 n (log.f64 (/.f64 1 n))))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (fma.f64 -1 (+.f64 1 (*.f64 -1 (neg.f64 (log.f64 n)))) (+.f64 (/.f64 1/6 (*.f64 n n)) (*.f64 n (neg.f64 (log.f64 n))))) (/.f64 1/2 n))
(-.f64 (fma.f64 -1 (+.f64 (log.f64 n) 1) (fma.f64 n (neg.f64 (log.f64 n)) (/.f64 (/.f64 1/6 n) n))) (/.f64 1/2 n))
(-.f64 (fma.f64 -1 (+.f64 (log.f64 n) 1) (fma.f64 n (neg.f64 (log.f64 n)) (/.f64 1/6 (*.f64 n n)))) (/.f64 1/2 n))
(*.f64 -1 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))))
(*.f64 n (*.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))))
(*.f64 n (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) 1)
(+.f64 (fma.f64 -1 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))) (*.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))) -1)
(+.f64 -1 (*.f64 (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n))) (+.f64 n 1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) (+.f64 1 (*.f64 1/2 (/.f64 1 n))))
(-.f64 (fma.f64 -1 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))) (*.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))) (+.f64 1 (/.f64 1/2 n)))
(-.f64 (*.f64 (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n))) (+.f64 n 1)) (+.f64 1 (/.f64 1/2 n)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))) (+.f64 1 (*.f64 1/2 (/.f64 1 n))))
(-.f64 (fma.f64 -1 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))) (fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (/.f64 1/6 (*.f64 n n)))) (+.f64 1 (/.f64 1/2 n)))
(-.f64 (+.f64 (/.f64 (/.f64 1/6 n) n) (*.f64 (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n))) (+.f64 n 1))) (+.f64 1 (/.f64 1/2 n)))
(-.f64 (+.f64 (/.f64 1/6 (*.f64 n n)) (*.f64 (fma.f64 (log.f64 -1) -1 (log.f64 (/.f64 -1 n))) (+.f64 n 1))) (+.f64 1 (/.f64 1/2 n)))

prune60.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1271128
Fresh101
Picked101
Done000
Total1291130
Error
0.0b
Counts
130 → 1
Alt Table
StatusErrorProgram
0.0b
(-.f64 -1 (+.f64 -1 (neg.f64 (log.f64 n))))
Compiler

Compiled 2522 to 1589 computations (37% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 -1 (neg.f64 (log.f64 n)))
0.0b
(-.f64 -1 (+.f64 -1 (neg.f64 (log.f64 n))))

series42.0ms (0.9%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
19.0ms
n
@0
(-.f64 -1 (+.f64 -1 (neg.f64 (log.f64 n))))
15.0ms
n
@-inf
(-.f64 -1 (+.f64 -1 (neg.f64 (log.f64 n))))
6.0ms
n
@inf
(-.f64 -1 (+.f64 -1 (neg.f64 (log.f64 n))))
0.0ms
n
@0
(+.f64 -1 (neg.f64 (log.f64 n)))
0.0ms
n
@-inf
(+.f64 -1 (neg.f64 (log.f64 n)))

rewrite45.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
776×rules-30_binary64
776×rules-31_binary64
776×rules-32_binary64
776×rules-33_binary64
82×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
118715
2258615
Stop Event
node limit
Counts
2 → 71
Calls
Call 1
Inputs
(-.f64 -1 (+.f64 -1 (neg.f64 (log.f64 n))))
(+.f64 -1 (neg.f64 (log.f64 n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (+.f64 -1 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (+.f64 -1 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) (pow.f64 (cbrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) 2) (cbrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) (sqrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) (-.f64 -1 (+.f64 -1 (log.f64 n)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 -1 (pow.f64 (+.f64 -1 (log.f64 n)) 3)) (-.f64 -1 (pow.f64 (+.f64 -1 (log.f64 n)) 3))) (/.f64 1/2 (+.f64 (pow.f64 (+.f64 -1 (log.f64 n)) 2) (+.f64 1 (+.f64 (log.f64 n) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 3) (+.f64 (pow.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 2) (+.f64 0 (*.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 3) (+.f64 (pow.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 2) (-.f64 0 (*.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (+.f64 -1 (log.f64 n)) 3)) (+.f64 (pow.f64 (+.f64 -1 (log.f64 n)) 2) (+.f64 1 (+.f64 (log.f64 n) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -8 (pow.f64 (+.f64 (log.f64 n) -2) 3)) (+.f64 4 (+.f64 (*.f64 (+.f64 (log.f64 n) -2) (+.f64 (log.f64 n) -2)) (*.f64 -2 (+.f64 (log.f64 n) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 -1) (*.f64 n (exp.f64 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 (+.f64 -1 (log.f64 n))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) 2) (cbrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) (sqrt.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -1 (+.f64 -1 (log.f64 n)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (log.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (log.f64 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (log.f64 n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (log.f64 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 -1 (log.f64 n)) (+.f64 -1 (log.f64 n))) (+.f64 -1 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 n) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (log.f64 n))) (pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 n))) 2) (cbrt.f64 (+.f64 -1 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (log.f64 n))) (sqrt.f64 (+.f64 -1 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 -1 (log.f64 n)) (+.f64 -1 (log.f64 n))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 -1 (pow.f64 (log.f64 n) 3)) (+.f64 -1 (pow.f64 (log.f64 n) 3))) (/.f64 1/2 (+.f64 1 (fma.f64 (log.f64 n) (log.f64 n) (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 n) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 -1 (log.f64 n)) 3) (+.f64 (pow.f64 (+.f64 -1 (log.f64 n)) 2) (+.f64 0 (*.f64 (+.f64 -1 (log.f64 n)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 -1 (log.f64 n)) 3) (+.f64 (pow.f64 (+.f64 -1 (log.f64 n)) 2) (-.f64 0 (*.f64 (+.f64 -1 (log.f64 n)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (log.f64 n) 3)) (+.f64 1 (fma.f64 (log.f64 n) (log.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (log.f64 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (log.f64 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (log.f64 n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (log.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 -1 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 n (exp.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (log.f64 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 n) -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 n) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (log.f64 n)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 n))) 2) (cbrt.f64 (+.f64 -1 (log.f64 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 n)) 2) (cbrt.f64 (log.f64 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -1 (log.f64 n))) (sqrt.f64 (+.f64 -1 (log.f64 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 n)) (sqrt.f64 (log.f64 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (log.f64 n))))))))

simplify24.0ms (0.5%)

Algorithm
egg-herbie
Rules
247×rule-a-*a1_binary64
247×rule-a--a0_binary64
247×rule-a-+a0_binary64
247×rule-a-/a1_binary64
244×rule--ab--+aa+ab_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019144
1128132
2379108
31515108
Stop Event
node limit
Counts
95 → 77
Calls
Call 1
Inputs
(log.f64 n)
(log.f64 n)
(log.f64 n)
(log.f64 n)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(*.f64 -1 (log.f64 (/.f64 1 n)))
(*.f64 -1 (log.f64 (/.f64 1 n)))
(*.f64 -1 (log.f64 (/.f64 1 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(*.f64 -1 (+.f64 1 (log.f64 n)))
(*.f64 -1 (+.f64 1 (log.f64 n)))
(*.f64 -1 (+.f64 1 (log.f64 n)))
(*.f64 -1 (+.f64 1 (log.f64 n)))
(*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))))
(*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))))
(*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))))
(*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))))
(*.f64 -1 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))
(*.f64 -1 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))
(*.f64 -1 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))
(*.f64 -1 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))
Outputs
(log.f64 n)
(log.f64 n)
(log.f64 n)
(log.f64 n)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(log.f64 n)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(log.f64 n)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(log.f64 n)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(log.f64 n)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(log.f64 n)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(log.f64 n)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(log.f64 n)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(log.f64 n)
(*.f64 -1 (+.f64 1 (log.f64 n)))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (log.f64 n)))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (log.f64 n)))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (log.f64 n)))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))
(*.f64 -1 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))
(*.f64 -1 (+.f64 (log.f64 n) 1))
(+.f64 -1 (neg.f64 (log.f64 n)))
(-.f64 -1 (log.f64 n))

prune30.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New76177
Fresh000
Picked101
Done000
Total77178
Error
0b
Counts
78 → 1
Alt Table
StatusErrorProgram
0b
(log.f64 n)
Compiler

Compiled 900 to 670 computations (25.6% saved)

localize3.0ms (0.1%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0b
(log.f64 n)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.4%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts
10 → 1
Compiler

Compiled 178 to 129 computations (27.5% saved)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 n)
Outputs
(log.f64 n)

end17.0ms (0.4%)

Stop Event
done
Compiler

Compiled 8 to 4 computations (50% saved)

Profiling

Loading profile data...