Details

Time bar (total: 4.2s)

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)

sample3.9s (92.2%)

Results
2.3s4270×body1024valid
894.0ms2219×body512valid
366.0ms488×body2048valid
278.0ms1095×body256valid
23.0ms184×body128valid
Compiler

Compiled 38 to 28 computations (26.3% saved)

preprocess37.0ms (0.9%)

Algorithm
egg-herbie
Rules
898×fma-def_binary64
818×fma-neg_binary64
335×distribute-rgt-in_binary64
291×distribute-lft-in_binary64
157×distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
12618
26218
315018
434617
568517
6118417
7206317
8273017
9315717
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 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (log1p.f64 n) -1))
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify32.0ms (0.8%)

Algorithm
egg-herbie
Rules
898×fma-def_binary64
818×fma-neg_binary64
335×distribute-rgt-in_binary64
291×distribute-lft-in_binary64
157×distribute-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01023
12618
26218
315018
434617
568517
6118417
7206317
8273017
9315717
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 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (log1p.f64 n) -1))
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
44.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
44.2b
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))
Compiler

Compiled 51 to 31 computations (39.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))
0.7b
(fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)
3.1b
(-.f64 (log.f64 n) (log1p.f64 n))

series8.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

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

rewrite53.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
915×expm1-log1p-u_binary64
914×log1p-expm1-u_binary64
89×add-sqr-sqrt_binary64
88×pow1_binary64
87×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0837
117037
2237937
Stop Event
node limit
Counts
3 → 97
Calls
Call 1
Inputs
(-.f64 (log.f64 n) (log1p.f64 n))
(fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 2) (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) 3) 1) (+.f64 (*.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n)))) (-.f64 1 (*.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n)))) 1) (-.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (*.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (fma.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 1 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 2) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 2) (cbrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (sqrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 2)) (/.f64 1 (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (-.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))) (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 2)) (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 2))) (neg.f64 (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (*.f64 (log1p.f64 n) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))) (-.f64 (log1p.f64 n) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 n) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 1))))))

simplify32.0ms (0.8%)

Algorithm
egg-herbie
Rules
569×cancel-sign-sub-inv_binary64
419×fma-neg_binary64
350×sub-neg_binary64
278×associate-*l*_binary64
263×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080563
1244531
2730525
32326523
Stop Event
node limit
Counts
133 → 142
Calls
Call 1
Inputs
(log.f64 n)
(-.f64 (log.f64 n) n)
(-.f64 (+.f64 (log.f64 n) (*.f64 1/2 (pow.f64 n 2))) n)
(-.f64 (+.f64 (log.f64 n) (*.f64 1/2 (pow.f64 n 2))) (+.f64 n (*.f64 1/3 (pow.f64 n 3))))
(/.f64 -1 n)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))))
(/.f64 -1 n)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))))
1
(+.f64 1 (*.f64 n (log.f64 n)))
(-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (pow.f64 n 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 n 3)) (*.f64 n (log.f64 n)))) (pow.f64 n 2))
(/.f64 1/2 n)
(-.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))))
(/.f64 1/2 n)
(-.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))))
-1
(-.f64 n (+.f64 1 (*.f64 n (log.f64 n))))
(-.f64 (+.f64 n (*.f64 1/2 (pow.f64 n 2))) (+.f64 1 (*.f64 n (log.f64 n))))
(-.f64 (+.f64 n (*.f64 1/2 (pow.f64 n 2))) (+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 n 3)) (*.f64 n (log.f64 n)))))
(*.f64 -1 (log.f64 (/.f64 1 n)))
(-.f64 (*.f64 1/2 (/.f64 1 n)) (log.f64 (/.f64 1 n)))
(-.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/12 (/.f64 1 (pow.f64 n 3)))) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (log.f64 -1)) (log.f64 (/.f64 -1 n)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (log.f64 -1) (*.f64 1/12 (/.f64 1 (pow.f64 n 3))))) (+.f64 (log.f64 (/.f64 -1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
Outputs
(log.f64 n)
(-.f64 (log.f64 n) n)
(-.f64 (+.f64 (log.f64 n) (*.f64 1/2 (pow.f64 n 2))) n)
(+.f64 (log.f64 n) (-.f64 (*.f64 1/2 (*.f64 n n)) n))
(-.f64 (fma.f64 1/2 (*.f64 n n) (log.f64 n)) n)
(-.f64 (fma.f64 n (*.f64 n 1/2) (log.f64 n)) n)
(-.f64 (+.f64 (log.f64 n) (*.f64 1/2 (pow.f64 n 2))) (+.f64 n (*.f64 1/3 (pow.f64 n 3))))
(+.f64 (log.f64 n) (-.f64 (*.f64 1/2 (*.f64 n n)) (+.f64 n (*.f64 1/3 (pow.f64 n 3)))))
(-.f64 (fma.f64 1/2 (*.f64 n n) (log.f64 n)) (fma.f64 1/3 (pow.f64 n 3) n))
(-.f64 (fma.f64 n (*.f64 n 1/2) (log.f64 n)) (fma.f64 1/3 (pow.f64 n 3) n))
(fma.f64 n (*.f64 n (-.f64 1/2 (*.f64 n 1/3))) (-.f64 (log.f64 n) n))
(/.f64 -1 n)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1 n))
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1 n))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))))
(-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1 n)) (/.f64 1/3 (pow.f64 n 3)))
(+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 -1 n) (/.f64 1/3 (pow.f64 n 3))))
(+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 n 3))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))))
(+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1 n)) (/.f64 1/3 (pow.f64 n 3))))
(+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3)))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 -1 n))) (/.f64 1/3 (pow.f64 n 3)))
(+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 n 3)))))
(/.f64 -1 n)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1 n))
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1 n))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))))
(-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1 n)) (/.f64 1/3 (pow.f64 n 3)))
(+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 -1 n) (/.f64 1/3 (pow.f64 n 3))))
(+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 n 3))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))))
(+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1 n)) (/.f64 1/3 (pow.f64 n 3))))
(+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3)))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 -1 n))) (/.f64 1/3 (pow.f64 n 3)))
(+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 n 3)))))
1
(+.f64 1 (*.f64 n (log.f64 n)))
(fma.f64 n (log.f64 n) 1)
(-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (pow.f64 n 2))
(+.f64 1 (-.f64 (*.f64 n (log.f64 n)) (*.f64 n n)))
(+.f64 1 (*.f64 n (-.f64 (log.f64 n) n)))
(fma.f64 n (-.f64 (log.f64 n) n) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 n 3)) (*.f64 n (log.f64 n)))) (pow.f64 n 2))
(+.f64 1 (-.f64 (fma.f64 1/2 (pow.f64 n 3) (*.f64 n (log.f64 n))) (*.f64 n n)))
(+.f64 (+.f64 1 (*.f64 1/2 (pow.f64 n 3))) (*.f64 n (-.f64 (log.f64 n) n)))
(+.f64 (*.f64 n (-.f64 (log.f64 n) n)) (fma.f64 1/2 (pow.f64 n 3) 1))
(+.f64 1 (fma.f64 1/2 (pow.f64 n 3) (*.f64 n (-.f64 (log.f64 n) n))))
(/.f64 1/2 n)
(-.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n)))
(+.f64 (/.f64 1/2 n) (/.f64 -1/3 (*.f64 n n)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))) (/.f64 1/3 (*.f64 n n)))
(+.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 -1/3 (*.f64 n n))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))))
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/5 (pow.f64 n 4)))))
(-.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))) (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/5 (pow.f64 n 4))))
(+.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (/.f64 -1/3 (*.f64 n n)) (/.f64 -1/5 (pow.f64 n 4)))))
(+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))) (+.f64 (/.f64 -1/3 (*.f64 n n)) (/.f64 -1/5 (pow.f64 n 4))))
(/.f64 1/2 n)
(-.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n)))
(+.f64 (/.f64 1/2 n) (/.f64 -1/3 (*.f64 n n)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))) (/.f64 1/3 (*.f64 n n)))
(+.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 -1/3 (*.f64 n n))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))))
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/5 (pow.f64 n 4)))))
(-.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))) (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/5 (pow.f64 n 4))))
(+.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (/.f64 -1/3 (*.f64 n n)) (/.f64 -1/5 (pow.f64 n 4)))))
(+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))) (+.f64 (/.f64 -1/3 (*.f64 n n)) (/.f64 -1/5 (pow.f64 n 4))))
-1
(-.f64 n (+.f64 1 (*.f64 n (log.f64 n))))
(-.f64 n (fma.f64 n (log.f64 n) 1))
(-.f64 (+.f64 n (*.f64 1/2 (pow.f64 n 2))) (+.f64 1 (*.f64 n (log.f64 n))))
(-.f64 (+.f64 n (*.f64 1/2 (*.f64 n n))) (+.f64 1 (*.f64 n (log.f64 n))))
(-.f64 (fma.f64 1/2 (*.f64 n n) n) (fma.f64 n (log.f64 n) 1))
(+.f64 n (fma.f64 n (-.f64 (*.f64 n 1/2) (log.f64 n)) -1))
(-.f64 (+.f64 n (*.f64 1/2 (pow.f64 n 2))) (+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 n 3)) (*.f64 n (log.f64 n)))))
(+.f64 n (-.f64 (*.f64 1/2 (*.f64 n n)) (+.f64 1 (fma.f64 1/6 (pow.f64 n 3) (*.f64 n (log.f64 n))))))
(-.f64 (-.f64 (fma.f64 1/2 (*.f64 n n) n) (fma.f64 n (log.f64 n) (*.f64 (pow.f64 n 3) 1/6))) 1)
(-.f64 (fma.f64 1/2 (*.f64 n n) n) (fma.f64 n (log.f64 n) (fma.f64 (pow.f64 n 3) 1/6 1)))
(*.f64 -1 (log.f64 (/.f64 1 n)))
(log.f64 n)
(-.f64 (*.f64 1/2 (/.f64 1 n)) (log.f64 (/.f64 1 n)))
(-.f64 (/.f64 1/2 n) (neg.f64 (log.f64 n)))
(+.f64 (log.f64 n) (/.f64 1/2 n))
(-.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(-.f64 (/.f64 1/2 n) (+.f64 (neg.f64 (log.f64 n)) (/.f64 1/6 (*.f64 n n))))
(-.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n)))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n))))
(+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (*.f64 n n))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/12 (/.f64 1 (pow.f64 n 3)))) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(-.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 (neg.f64 (log.f64 n)) (/.f64 1/6 (*.f64 n n))))
(+.f64 (/.f64 1/12 (pow.f64 n 3)) (-.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n))))
(+.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (+.f64 (log.f64 n) (/.f64 -1/6 (*.f64 n n)))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(log.f64 n)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (log.f64 -1)) (log.f64 (/.f64 -1 n)))
(-.f64 (/.f64 1/2 n) (neg.f64 (log.f64 n)))
(+.f64 (log.f64 n) (/.f64 1/2 n))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(-.f64 (/.f64 1/2 n) (+.f64 (neg.f64 (log.f64 n)) (/.f64 1/6 (*.f64 n n))))
(-.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n)))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n))))
(+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (*.f64 n n))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (log.f64 -1) (*.f64 1/12 (/.f64 1 (pow.f64 n 3))))) (+.f64 (log.f64 (/.f64 -1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(-.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 (neg.f64 (log.f64 n)) (/.f64 1/6 (*.f64 n n))))
(+.f64 (/.f64 1/12 (pow.f64 n 3)) (-.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n))))
(+.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (+.f64 (log.f64 n) (/.f64 -1/6 (*.f64 n n)))))

prune60.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1411142
Fresh000
Picked101
Done000
Total1421143
Error
0b
Counts
143 → 1
Alt Table
StatusErrorProgram
0b
(-.f64 (log1p.f64 n) (/.f64 1/2 n))
Compiler

Compiled 2663 to 1249 computations (53.1% saved)

localize4.0ms (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
(-.f64 (log1p.f64 n) (/.f64 1/2 n))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes18.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
4 → 1
Compiler

Compiled 199 to 139 computations (30.2% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
distribute-neg-frac_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
189
2169
3189
4199
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 n) (/.f64 1/2 n))
Outputs
(-.f64 (log1p.f64 n) (/.f64 1/2 n))
(+.f64 (log1p.f64 n) (/.f64 -1/2 n))

end50.0ms (1.2%)

Stop Event
done
Compiler

Compiled 21 to 15 computations (28.6% saved)

Profiling

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