Details

Time bar (total: 3.0s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.0s (64.6%)

Results
870.0ms2060×body1024valid
535.0ms4493×body128valid
286.0ms955×body512valid
160.0ms267×body2048valid
96.0ms481×body256valid
Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess19.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1128
2178
3248
4338
5508
6878
71238
81648
92008
102268
112288
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify9.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
1128
2178
3248
4338
5508
6878
71238
81648
92008
102268
112288
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
29.5b
Counts
3 → 2
Alt Table
StatusErrorProgram
29.5b
(-.f64 (log1p.f64 N) (log.f64 N))
▶29.5b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 41 to 28 computations (31.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.5b
(log.f64 (+.f64 N 1))
✓1.7b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
N
@inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms
N
@-inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms
N
@0
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
0.0ms
N
@0
(log.f64 (+.f64 N 1))
0.0ms
N
@-inf
(log.f64 (+.f64 N 1))

rewrite40.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
800×pow1_binary64
745×log1p-expm1-u_binary64
745×expm1-log1p-u_binary64
77×add-sqr-sqrt_binary64
75×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
115011
2204611
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(log.f64 (+.f64 N 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 N)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 N)))))))

simplify25.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
565×fma-def_binary64
324×fma-neg_binary64
270×associate--l+_binary64
260×cancel-sign-sub-inv_binary64
249×associate-+l-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056376
1164350
2474346
31508335
Stop Event
1×node limit
Counts
82 → 91
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)))
(-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
N
(-.f64 N (*.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (*.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N 4))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(-.f64 (/.f64 1 N) (log.f64 (/.f64 1 N)))
(-.f64 (/.f64 1 N) (+.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1 N) (log.f64 -1)) (log.f64 (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1 N) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)))
(-.f64 N (fma.f64 1/2 (*.f64 N N) (log.f64 N)))
(-.f64 N (fma.f64 N (*.f64 N 1/2) (log.f64 N)))
(-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)))
(+.f64 N (-.f64 (*.f64 1/3 (pow.f64 N 3)) (fma.f64 1/2 (*.f64 N N) (log.f64 N))))
(-.f64 (fma.f64 1/3 (pow.f64 N 3) N) (fma.f64 1/2 (*.f64 N N) (log.f64 N)))
(-.f64 (fma.f64 1/3 (pow.f64 N 3) N) (fma.f64 N (*.f64 N 1/2) (log.f64 N)))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(-.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 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(-.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))))
N
(-.f64 N (*.f64 1/2 (pow.f64 N 2)))
(+.f64 N (*.f64 -1/2 (*.f64 N N)))
(+.f64 N (*.f64 (*.f64 N N) -1/2))
(fma.f64 (*.f64 N N) -1/2 N)
(*.f64 (fma.f64 N -1/2 1) N)
(-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (*.f64 1/2 (pow.f64 N 2)))
(+.f64 N (-.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 1/2 (*.f64 N N))))
(+.f64 N (fma.f64 1/3 (pow.f64 N 3) (*.f64 (*.f64 N N) -1/2)))
(fma.f64 (*.f64 N N) -1/2 (fma.f64 1/3 (pow.f64 N 3) N))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) N)
(-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N 4))))
(+.f64 N (-.f64 (*.f64 1/3 (pow.f64 N 3)) (fma.f64 1/2 (*.f64 N N) (*.f64 1/4 (pow.f64 N 4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N 3) N) (fma.f64 1/2 (*.f64 N N) (*.f64 1/4 (pow.f64 N 4))))
(+.f64 (fma.f64 1/3 (pow.f64 N 3) N) (fma.f64 (*.f64 N N) -1/2 (*.f64 (pow.f64 N 4) -1/4)))
(fma.f64 (pow.f64 N 4) -1/4 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) N))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(-.f64 (/.f64 1 N) (log.f64 (/.f64 1 N)))
(-.f64 (/.f64 1 N) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (/.f64 1 N) (+.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (neg.f64 (log.f64 N))))
(-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (log.f64 N) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (neg.f64 (log.f64 N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (log.f64 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(-.f64 (+.f64 (/.f64 1 N) (log.f64 -1)) (log.f64 (/.f64 -1 N)))
(-.f64 (/.f64 1 N) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (log.f64 -1)) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (neg.f64 (log.f64 N))))
(-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (log.f64 N) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (neg.f64 (log.f64 N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (log.f64 N) (/.f64 -1/2 (*.f64 N N))))

prune46.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh011
Picked011
Done000
Total89493
Error
0.0b
Counts
93 → 4
Alt Table
StatusErrorProgram
▶29.5b
(-.f64 (log1p.f64 N) (log.f64 N))
✓29.5b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
30.8b
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
32.1b
(-.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))))
Compiler

Compiled 1224 to 634 computations (48.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.7b
(-.f64 (log1p.f64 N) (log.f64 N))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@0
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
N
@-inf
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
N
@inf
(-.f64 (log1p.f64 N) (log.f64 N))

rewrite34.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
581×pow1_binary64
541×add-log-exp_binary64
541×expm1-log1p-u_binary64
540×log1p-expm1-u_binary64
529×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
11068
214498
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))))

simplify23.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
736×fma-neg_binary64
511×cancel-sign-sub-inv_binary64
415×times-frac_binary64
223×fma-def_binary64
191×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034186
194184
2235184
3685181
42172181
Stop Event
1×node limit
Counts
47 → 49
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)))
(-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)))
(-.f64 N (fma.f64 1/2 (*.f64 N N) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)))
(-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (fma.f64 1/2 (*.f64 N N) (log.f64 N)))
(-.f64 (fma.f64 1/3 (pow.f64 N 3) N) (fma.f64 1/2 (*.f64 N N) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N (fma.f64 N 1/3 -1/2)) N) (log.f64 N))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))) (/.f64 1/4 (pow.f64 N 4)))

prune22.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh022
Picked011
Done011
Total49453
Error
0.0b
Counts
53 → 4
Alt Table
StatusErrorProgram
✓29.5b
(-.f64 (log1p.f64 N) (log.f64 N))
✓29.5b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶30.8b
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
32.1b
(-.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))))
Compiler

Compiled 717 to 344 computations (52% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (cbrt.f64 (log.f64 N)) 2)
✓0.5b
(cbrt.f64 (log.f64 N))
1.7b
(-.f64 (log1p.f64 N) (log.f64 N))
✓61.1b
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))

series264.0ms (8.7%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
108.0ms
N
@0
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))
102.0ms
N
@-inf
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))
43.0ms
N
@inf
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))
9.0ms
N
@0
(cbrt.f64 (log.f64 N))
1.0ms
N
@inf
(cbrt.f64 (log.f64 N))

rewrite43.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
562×pow1_binary64
521×add-log-exp_binary64
520×log1p-expm1-u_binary64
520×expm1-log1p-u_binary64
509×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0833
116219
2182819
Stop Event
1×node limit
Counts
3 → 70
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))
(cbrt.f64 (log.f64 N))
(pow.f64 (cbrt.f64 (log.f64 N)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 N N))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 N N))) 2) (cbrt.f64 (log.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 N N))) (sqrt.f64 (log.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (log.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 N N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 N N))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 2) (cbrt.f64 (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 N) 1/6) (pow.f64 (log.f64 N) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 N) 1/6) (neg.f64 (pow.f64 (log.f64 N) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log.f64 N)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 N) 1/6)) (pow.f64 (log.f64 N) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (log.f64 N) 1/6)) (pow.f64 (log.f64 N) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (log.f64 N)) (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 0 (cbrt.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 N) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 N))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (pow.f64 (log.f64 N) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 N) 1/6) (*.f64 (pow.f64 (log.f64 N) 1/6) (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))))))))

simplify34.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
482×unswap-sqr_binary64
428×fma-def_binary64
271×unsub-neg_binary64
267×fma-neg_binary64
229×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027236
169228
2127228
3384228
41494228
54139228
Stop Event
1×node limit
Counts
106 → 79
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
(pow.f64 (log.f64 N) 1/3)
(pow.f64 (log.f64 N) 1/3)
(pow.f64 (log.f64 N) 1/3)
(pow.f64 (log.f64 N) 1/3)
(*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 1/3) (cbrt.f64 -1))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1/3)
(pow.f64 (pow.f64 (log.f64 N) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 N) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 N) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 N) 2) 1/3)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) 1/3)
Outputs
0
0
0
0
0
0
0
0
0
0
0
0
(pow.f64 (log.f64 N) 1/3)
(cbrt.f64 (log.f64 N))
(pow.f64 (log.f64 N) 1/3)
(cbrt.f64 (log.f64 N))
(pow.f64 (log.f64 N) 1/3)
(cbrt.f64 (log.f64 N))
(pow.f64 (log.f64 N) 1/3)
(cbrt.f64 (log.f64 N))
(*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 -1))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1/3)
(cbrt.f64 (log.f64 N))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1/3)
(cbrt.f64 (log.f64 N))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1/3)
(cbrt.f64 (log.f64 N))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1/3)
(cbrt.f64 (log.f64 N))
(pow.f64 (pow.f64 (log.f64 N) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 N) 2))
(pow.f64 (pow.f64 (log.f64 N) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 N) 2))
(pow.f64 (pow.f64 (log.f64 N) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 N) 2))
(pow.f64 (pow.f64 (log.f64 N) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 N) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 N)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 N)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 N)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 N)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 N) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 N) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 N) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 N) 2))

prune78.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1650165
Fresh011
Picked011
Done022
Total1654169
Error
0.0b
Counts
169 → 4
Alt Table
StatusErrorProgram
✓29.5b
(-.f64 (log1p.f64 N) (log.f64 N))
✓29.5b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓30.8b
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
▶32.1b
(-.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))))
Compiler

Compiled 3792 to 1378 computations (63.7% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 1/2 (*.f64 N N))
✓0.5b
(/.f64 1/3 (pow.f64 N 3))
✓21.0b
(-.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
✓25.3b
(-.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))))

series7.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
N
@inf
(-.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))))
1.0ms
N
@0
(-.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))))
1.0ms
N
@0
(/.f64 1/3 (pow.f64 N 3))
1.0ms
N
@0
(/.f64 1/2 (*.f64 N N))
1.0ms
N
@0
(-.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))

rewrite49.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
212×add-sqr-sqrt_binary64
204×add-log-exp_binary64
204×log1p-expm1-u_binary64
204×expm1-log1p-u_binary64
203×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01867
143763
Stop Event
1×node limit
Counts
4 → 123
Calls
Call 1
Inputs
(-.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 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/2 (*.f64 N N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/4 (pow.f64 N -4)) (neg.f64 (-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (*.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N))) (*.f64 1/3 (pow.f64 N -3))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (*.f64 1/3 (pow.f64 N -3))))) (sqrt.f64 (-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (*.f64 1/3 (pow.f64 N -3)))) (-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (*.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N))) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/4 (pow.f64 N -4) (neg.f64 (*.f64 (-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (*.f64 1/3 (pow.f64 N -3))) 1))) (fma.f64 (neg.f64 (-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) 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simplify31.0ms (1%)

Algorithm
1×egg-herbie
Rules
820×times-frac_binary64
426×associate-/l/_binary64
378×fma-neg_binary64
374×fma-def_binary64
261×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036492
199492
2232492
3564492
41787492
Stop Event
1×node limit
Counts
159 → 145
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))
(-.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 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 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 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 -1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 -1/2 N) N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 -1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 -1/2 N) N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 -1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 -1/2 N) N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))))
(/.f64 -1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))
(-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1/3 (pow.f64 N 3)))
(-.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 1/2 (*.f64 N N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)) (/.f64 1/3 (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 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(-.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (-.f64 (/.f64 1/2 (*.f64 N N)) (/.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 1/2 (*.f64 N N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)) (/.f64 1/3 (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 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(-.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (-.f64 (/.f64 1/2 (*.f64 N N)) (/.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 1/2 (*.f64 N N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)) (/.f64 1/3 (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 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(-.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3)))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))

prune134.0ms (4.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1441145
Fresh000
Picked011
Done033
Total1445149
Error
0b
Counts
149 → 5
Alt Table
StatusErrorProgram
54.7b
(-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 N 4)) (pow.f64 N -2)) (/.f64 (pow.f64 N 3) 1/3)) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 -1 N)) 1)) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 -1 N)) (/.f64 (pow.f64 N 3) 1/3))))
✓29.5b
(-.f64 (log1p.f64 N) (log.f64 N))
✓29.5b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓30.8b
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
✓32.1b
(-.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))))
Compiler

Compiled 4952 to 3993 computations (19.4% saved)

regimes60.0ms (2%)

Accuracy

Total 0.0b remaining (51.6%)

Threshold costs 0.0b (51.6%)

Counts
23 → 2
Compiler

Compiled 337 to 246 computations (27% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Calls

1 calls:

0.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Steps
ItersPointRange
2e-5
∈ [
1.1747681542217947e-5
, 
0.08724255336486175
]
Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
7×sub-neg_binary64
5×*-commutative_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02954
14354
25754
36554
47054
57154
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (fma.f64 1/2 (pow.f64 N -2) (-.f64 (/.f64 -1 N) (*.f64 1/3 (pow.f64 N -3))))) (log.f64 (/.f64 (+.f64 N 1) N)))
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (fma.f64 1/2 (pow.f64 N -2) (-.f64 (/.f64 -1 N) (*.f64 1/3 (pow.f64 N -3))))) (log.f64 (/.f64 (+.f64 N 1) N)))

end109.0ms (3.6%)

Stop Event
1×fuel
Compiler

Compiled 179 to 136 computations (24% saved)

Profiling

Loading profile data...