Details

Time bar (total: 5.9s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
33.3%25%50%0%0%25%0%3
75%37.5%12.5%0%12.5%37.5%0%4
87.5%43.7%6.2%0%12.5%37.5%0%5
93.8%46.9%3.1%0%12.5%37.5%0%6
96.9%48.4%1.6%0%12.5%37.5%0%7
98.4%49.2%0.8%0%12.5%37.5%0%8
99.2%49.6%0.4%0%12.5%37.5%0%9
99.6%49.8%0.2%0%12.5%37.5%0%10
99.8%49.9%0.1%0%12.5%37.5%0%11
99.9%49.9%0%0%12.5%37.5%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample3.0s (50.3%)

Results
1.2s2046×body1024valid
1.1s4886×body256valid
400.0ms1071×body512valid
263.0ms253×body2048valid
Bogosity

preprocess22.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
80×fma-def
44×associate--r+
38×associate-+l-
30×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
610415
714315
818915
923215
1025615
1125815
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 9 to 7 computations (22.2% saved)

simplify34.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
80×fma-def
44×associate--r+
38×associate-+l-
30×+-commutative
24×associate--l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
610415
714315
818915
923215
1025615
1125815
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))

eval1.0ms (0%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
29.6b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.6b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 4 computations (63.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms
N
@inf
(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms
N
@0
(-.f64 (log1p.f64 N) (log.f64 N))

rewrite90.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1528×add-sqr-sqrt
1512×*-un-lft-identity
1410×add-cube-cbrt
1394×add-cbrt-cube
1380×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114415
2186715
Stop Event
1×node limit
Counts
1 → 36
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 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (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 (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 (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 (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 (-.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 (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 (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 (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 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 (-.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 (-.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) (*.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) 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 (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 (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 pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(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 pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(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 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 expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(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 log1p.f64 (-.f64 (/.f64 (+.f64 N 1) 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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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)))))))

simplify69.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1272×associate-+l+
1176×associate-*r*
936×associate-*l*
826×fma-def
666×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01281430
13511342
213301336
356041336
Stop Event
1×node limit
Counts
48 → 70
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.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)))
(+.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)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.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))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.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))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.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)))))
(/.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))))
(/.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))))))
(/.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))))
(/.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))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (-.f64 (*.f64 (*.f64 -1/2 N) N) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (*.f64 -1/2 N) N)))
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(/.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 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 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.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 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.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))))))
(*.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.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))))
(*.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.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)))))
(*.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.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))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.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))))))
(*.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.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))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.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))))))
(*.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))

eval14.0ms (0.2%)

Compiler

Compiled 903 to 435 computations (51.8% saved)

prune13.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New64670
Fresh000
Picked101
Done000
Total65671
Error
0.0b
Counts
71 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
29.6b
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
▶30.7b
(/.f64 1 N)
▶31.9b
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶31.2b
(-.f64 N (log.f64 N))
▶32.0b
(neg.f64 (log.f64 N))
▶29.5b
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 92 to 62 computations (32.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 N 1) N)
✓1.9b
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite63.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1728×add-sqr-sqrt
1712×*-un-lft-identity
1598×add-cube-cbrt
1580×add-cbrt-cube
164×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
116428
2213528
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (log.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(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 (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 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.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 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (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 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(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 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))))) (#(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 cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(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 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 log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N 1) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 N) -1) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (+.f64 N 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.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 neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))))))

simplify72.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
796×distribute-lft-in
740×distribute-rgt-in
694×unswap-sqr
646×fma-def
574×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01721609
14241559
217121547
368861547
Stop Event
1×node limit
Counts
85 → 107
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (log.f64 (/.f64 1 N)))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (/.f64 1 N) (+.f64 N 1))
(*.f64 (+.f64 (neg.f64 N) -1) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(pow.f64 (/.f64 (+.f64 N 1) N) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)
(pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (/.f64 N (+.f64 N 1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (-.f64 (*.f64 (*.f64 -1/2 N) N) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (*.f64 -1/2 N) N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(/.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 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 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (log.f64 (/.f64 1 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log1p.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log1p.f64 (+.f64 -1 (+.f64 1 (/.f64 1 N))))
(log1p.f64 (+.f64 (/.f64 1 N) 0))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(+.f64 1 (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 N 1) N))
(+.f64 1 (/.f64 1 N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(+.f64 1 (/.f64 1 N))
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(+.f64 1 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 1 N) (+.f64 N 1))
(+.f64 1 (/.f64 1 N))
(*.f64 (+.f64 (neg.f64 N) -1) (/.f64 1 (neg.f64 N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (+.f64 N 1) (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (+.f64 N 1) (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)))
(pow.f64 (/.f64 (+.f64 N 1) N) 1)
(+.f64 1 (/.f64 1 N))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(+.f64 1 (/.f64 1 N))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)
(+.f64 1 (/.f64 1 N))
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)
(+.f64 1 (/.f64 1 N))
(pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 1 (/.f64 1 N))
(pow.f64 (/.f64 N (+.f64 N 1)) -1)
(+.f64 1 (/.f64 1 N))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 1 (/.f64 1 N))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 1 (/.f64 1 N))
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))
(+.f64 1 (/.f64 1 N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(+.f64 1 (/.f64 1 N))
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 1 (/.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 1 (/.f64 1 N))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))
(+.f64 1 (/.f64 1 N))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 1 (/.f64 1 N))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 1 (/.f64 1 N))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 1 (/.f64 1 N))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓0.4b
(/.f64 1/2 (*.f64 N N))
Compiler

Compiled 24 to 13 computations (45.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
N
@0
(/.f64 1/2 (*.f64 N N))
0.0ms
N
@0
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
0.0ms
N
@inf
(/.f64 1/2 (*.f64 N N))
0.0ms
N
@-inf
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
0.0ms
N
@inf
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))

rewrite91.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1220×associate-/r*
884×*-commutative
748×unswap-sqr
518×associate-/l*
494×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
120432
2285632
Stop Event
1×node limit
Counts
2 → 216
Calls
Call 1
Inputs
(/.f64 1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
Outputs
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simplify168.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
978×+-commutative
764×associate-*r*
674×fma-def
630×*-commutative
630×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056011102
116029798
268899798
Stop Event
1×node limit
Counts
240 → 356
Calls
Call 1
Inputs
(/.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))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/2 N) N))) 1)
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 (/.f64 1/2 N) N) 1)
(*.f64 1 (/.f64 (/.f64 1/2 N) N))
(*.f64 (/.f64 1 N) (/.f64 1/2 N))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (/.f64 (/.f64 1/2 N) N)))
(*.f64 (pow.f64 N -2) 1/2)
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(*.f64 (*.f64 (pow.f64 N -2) -1/2) -1)
(*.f64 -1/2 (neg.f64 (pow.f64 N -2)))
(*.f64 (neg.f64 (pow.f64 N -2)) -1/2)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (/.f64 1/2 N) (sqrt.f64 N)) (pow.f64 N -1/2))
(*.f64 (/.f64 1/2 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (pow.f64 N -1/2) (sqrt.f64 (/.f64 1/2 N))) (*.f64 (pow.f64 N -1/2) (sqrt.f64 (/.f64 1/2 N))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 N) -1) (sqrt.f64 (/.f64 1/2 N))) (*.f64 (pow.f64 (sqrt.f64 N) -1) (sqrt.f64 (/.f64 1/2 N))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N))) (cbrt.f64 (/.f64 (/.f64 1/2 N) N))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N))) (cbrt.f64 (/.f64 (/.f64 1/2 N) N))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) N)) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) N)) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N)))) (*.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) N))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) N))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 N)) (pow.f64 N -1/2)) (*.f64 (sqrt.f64 (/.f64 1/2 N)) (pow.f64 N -1/2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 N)) (pow.f64 (sqrt.f64 N) -1)) (*.f64 (sqrt.f64 (/.f64 1/2 N)) (pow.f64 (sqrt.f64 N) -1)))
(pow.f64 (/.f64 (/.f64 1/2 N) N) 1)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N)) 3)
(pow.f64 (*.f64 N (/.f64 N 1/2)) -1)
(pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)) 1/3)
(neg.f64 (*.f64 (pow.f64 N -2) -1/2))
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/2 N) N))))
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1/2 N) N)))
(exp.f64 (log.f64 (/.f64 (/.f64 1/2 N) N)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1/2 N) N)))
(+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (/.f64 (/.f64 1/2 N) N))))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (/.f64 (/.f64 1/2 N) N))))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (/.f64 (/.f64 1/2 N) N))))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (/.f64 (/.f64 1/2 N) N))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (/.f64 (/.f64 1/2 N) N)))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (/.f64 (/.f64 1/2 N) N)))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (/.f64 (/.f64 1/2 N) N)))
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(/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (*.f64 N N))
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(/.f64 (-.f64 (pow.f64 N 4) (*.f64 (*.f64 N N) 1/4)) (*.f64 (pow.f64 N 3) (*.f64 N (+.f64 N 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 1/64 (*.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (pow.f64 N -2) 3)))) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2))) (+.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (pow.f64 N -2) -1/2) 3)) (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (neg.f64 (/.f64 1/2 (pow.f64 N 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 1/4 (pow.f64 N 4)) 3)) (*.f64 (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1 N)) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (*.f64 1/2 N) 3)) (*.f64 (pow.f64 N 3) (+.f64 (pow.f64 N 4) (*.f64 (*.f64 1/2 N) (*.f64 N (+.f64 N 1/2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)) 3)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2))) (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)) (+.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)))))))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (*.f64 N (/.f64 N 1/2)) N) (*.f64 N (*.f64 N (/.f64 N 1/2))))
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
(/.f64 (*.f64 N (neg.f64 (-.f64 N 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (*.f64 N N) -2) N) (*.f64 (*.f64 N (/.f64 N 1/2)) (neg.f64 N)))
(/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N -2)) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (neg.f64 (/.f64 1 N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3)))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4))) 1) (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1 N)))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) 1) (pow.f64 N 3))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (sqrt.f64 N)) (*.f64 (*.f64 N N) (sqrt.f64 N)))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N N) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4))) (sqrt.f64 (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1 N)))) (sqrt.f64 (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1 N))))
(/.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1 N))) (cbrt.f64 (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1 N))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1 N))))
(/.f64 (/.f64 (+.f64 (pow.f64 N -3) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3))) 1) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2))))
(/.f64 (/.f64 (+.f64 (pow.f64 N -3) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2))))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 N -3) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2)))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2)))))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2)))))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 N N)) N)
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (sqrt.f64 (pow.f64 N 3))) (sqrt.f64 (pow.f64 N 3)))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 N (sqrt.f64 N))) (*.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 (*.f64 N N) (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 N (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N) N)
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 (cbrt.f64 (pow.f64 N 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 N (/.f64 N 1/2)) N) N) (*.f64 N (/.f64 N 1/2)))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) N) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) 1) (*.f64 N N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (*.f64 N (neg.f64 (-.f64 N 1/2))) N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (*.f64 N (neg.f64 (-.f64 N 1/2))) (neg.f64 N)) (*.f64 N N))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 N N) -2) N) (neg.f64 N)) (*.f64 N (/.f64 N 1/2)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) N) (neg.f64 N))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) 1) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (neg.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) -1) (*.f64 N N))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (neg.f64 N)) N)
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (sqrt.f64 (*.f64 N (neg.f64 N)))) (sqrt.f64 (*.f64 N (neg.f64 N))))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (*.f64 (cbrt.f64 (*.f64 N (neg.f64 N))) (cbrt.f64 (*.f64 N (neg.f64 N))))) (cbrt.f64 (*.f64 N (neg.f64 N))))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (neg.f64 (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (neg.f64 N)) (*.f64 N (neg.f64 N)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4))) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (neg.f64 (/.f64 1 N)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 N -3) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2))))))
(neg.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (neg.f64 (pow.f64 N 3))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(fma.f64 1 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) -1/2))
Outputs
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) 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 N -1/2) (*.f64 N 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 N -1/2) (*.f64 N 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 N -1/2) (*.f64 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 N -1/2) (*.f64 N 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 N -1/2) (*.f64 N 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 N -1/2) (*.f64 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 N -1/2) (*.f64 N 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 N -1/2) (*.f64 N 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 N -1/2) (*.f64 N N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/2 N) N))) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (*.f64 N N))
(*.f64 (/.f64 (/.f64 1/2 N) N) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1 (/.f64 (/.f64 1/2 N) N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 1 N) (/.f64 1/2 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 N N))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (/.f64 (/.f64 1/2 N) N)))
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 N N))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (pow.f64 N -2) 1/2)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (*.f64 (pow.f64 N -2) -1/2) -1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 -1/2 (neg.f64 (pow.f64 N -2)))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (neg.f64 (pow.f64 N -2)) -1/2)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (/.f64 1/2 N) (sqrt.f64 N)) (pow.f64 N -1/2))
(*.f64 (/.f64 1/2 (*.f64 N (sqrt.f64 N))) (pow.f64 N -1/2))
(*.f64 (/.f64 1/2 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (/.f64 1 (cbrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/2 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(*.f64 (*.f64 (pow.f64 N -1/2) (sqrt.f64 (/.f64 1/2 N))) (*.f64 (pow.f64 N -1/2) (sqrt.f64 (/.f64 1/2 N))))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 N) -1) (sqrt.f64 (/.f64 1/2 N))) (*.f64 (pow.f64 (sqrt.f64 N) -1) (sqrt.f64 (/.f64 1/2 N))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 N)) (/.f64 1 (sqrt.f64 N))) (*.f64 (sqrt.f64 (/.f64 1/2 N)) (/.f64 1 (sqrt.f64 N))))
(*.f64 (/.f64 1/2 N) (pow.f64 (sqrt.f64 N) -2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N))) (cbrt.f64 (/.f64 (/.f64 1/2 N) N))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1/2 N) N))) (cbrt.f64 (/.f64 (/.f64 1/2 N) N))))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
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(*.f64 (+.f64 (pow.f64 N -3) (*.f64 (pow.f64 (pow.f64 N -2) 3) -1/8)) (/.f64 1 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (/.f64 1/2 (pow.f64 N 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 N -2) 3) -1/8 (pow.f64 N -3)) (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 N N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (+.f64 N -1/2) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (sqrt.f64 (pow.f64 N 3))) (sqrt.f64 (pow.f64 N 3)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 N (sqrt.f64 N))) (*.f64 N (sqrt.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 (*.f64 N N) (sqrt.f64 N))) (sqrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 N (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (+.f64 N -1/2) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (+.f64 N -1/2) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (+.f64 N -1/2) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 (cbrt.f64 (pow.f64 N 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (fabs.f64 (cbrt.f64 N))))
(/.f64 (/.f64 (-.f64 (*.f64 N (/.f64 N 1/2)) N) N) (*.f64 N (/.f64 N 1/2)))
(/.f64 (-.f64 (*.f64 N (/.f64 N 1/2)) N) (*.f64 N (*.f64 N (/.f64 N 1/2))))
(/.f64 (+.f64 (/.f64 N 1/2) -1) (*.f64 N (/.f64 N 1/2)))
(/.f64 (+.f64 -1 (/.f64 N 1/2)) (*.f64 N (/.f64 N 1/2)))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) N) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) 1) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (+.f64 N -1/2) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (+.f64 N -1/2) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (/.f64 (*.f64 N (neg.f64 (-.f64 N 1/2))) N) (*.f64 N (neg.f64 N)))
(/.f64 (*.f64 N (neg.f64 (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (*.f64 N (neg.f64 (-.f64 N 1/2))) (neg.f64 N)) (*.f64 N N))
(/.f64 (*.f64 N (neg.f64 (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 N N) -2) N) (neg.f64 N)) (*.f64 N (/.f64 N 1/2)))
(/.f64 (fma.f64 (*.f64 N N) -2 N) (*.f64 (*.f64 N (/.f64 N 1/2)) (neg.f64 N)))
(/.f64 (fma.f64 N (*.f64 N -2) N) (/.f64 (neg.f64 (pow.f64 N 3)) 1/2))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) N) (neg.f64 N))
(/.f64 (*.f64 N (neg.f64 (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) 1) (*.f64 N (neg.f64 N)))
(/.f64 (*.f64 N (neg.f64 (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (neg.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 (neg.f64 N) (/.f64 (*.f64 1/2 N) N)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (-.f64 1/2 N) (*.f64 (cbrt.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) -1) (*.f64 N N))
(/.f64 (*.f64 N (neg.f64 (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (neg.f64 N)) N)
(/.f64 (*.f64 N (neg.f64 (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (sqrt.f64 (*.f64 N (neg.f64 N)))) (sqrt.f64 (*.f64 N (neg.f64 N))))
(/.f64 (*.f64 N (neg.f64 (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (*.f64 (cbrt.f64 (*.f64 N (neg.f64 N))) (cbrt.f64 (*.f64 N (neg.f64 N))))) (cbrt.f64 (*.f64 N (neg.f64 N))))
(/.f64 (*.f64 N (neg.f64 (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (neg.f64 (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (+.f64 (neg.f64 N) (/.f64 (*.f64 1/2 N) N)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (-.f64 1/2 N) (*.f64 (cbrt.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (neg.f64 N)) (*.f64 N (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(neg.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4))) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (neg.f64 (/.f64 1 N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4)))) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 -1 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4)))) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1 N)))
(neg.f64 (/.f64 (+.f64 (pow.f64 N -3) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (*.f64 (pow.f64 (pow.f64 N -2) 3) -1/8))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (/.f64 1/2 (pow.f64 N 3))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 N -3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 N -3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (-.f64 (/.f64 -1/2 (pow.f64 N 3)) (pow.f64 N -2))))
(neg.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (neg.f64 (pow.f64 N 3))))
(/.f64 (*.f64 N (neg.f64 (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))
(fabs.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 1 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))

localize6.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 N (log.f64 N))
Compiler

Compiled 8 to 3 computations (62.5% saved)

series8.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
5.0ms
N
@0
(-.f64 N (log.f64 N))
2.0ms
N
@-inf
(-.f64 N (log.f64 N))
1.0ms
N
@inf
(-.f64 N (log.f64 N))

rewrite59.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1382×add-sqr-sqrt
1366×*-un-lft-identity
1276×add-cube-cbrt
1262×add-cbrt-cube
1250×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
112511
2166911
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 N (log.f64 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.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 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 (-.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 (neg.f64 (log.f64 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2) (cbrt.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N)))))))

simplify64.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1612×associate-+r+
1208×associate-*r*
1052×associate-*l*
1030×associate-+l+
614×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109827
1283773
21110773
35588773
Stop Event
1×node limit
Counts
47 → 47
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(+.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.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)))
(+.f64 (neg.f64 (log.f64 N)) N)
(*.f64 (-.f64 N (log.f64 N)) 1)
(*.f64 1 (-.f64 N (log.f64 N)))
(*.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2) (cbrt.f64 (-.f64 N (log.f64 N))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))))
(/.f64 1 (/.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(pow.f64 (-.f64 N (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))
(log.f64 (/.f64 (exp.f64 N) N))
(cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))
(exp.f64 (log.f64 (-.f64 N (log.f64 N))))
(log1p.f64 (expm1.f64 (-.f64 N (log.f64 N))))
(fma.f64 1 N (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N)))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 -1 N)) (-.f64 N (log.f64 -1)))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 -1 N)) (-.f64 N (log.f64 -1)))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 -1 N)) (-.f64 N (log.f64 -1)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.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)))
(-.f64 N (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) N)
(-.f64 N (log.f64 N))
(*.f64 (-.f64 N (log.f64 N)) 1)
(-.f64 N (log.f64 N))
(*.f64 1 (-.f64 N (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2))
(-.f64 N (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2) (cbrt.f64 (-.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))))
(-.f64 N (log.f64 N))
(/.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))))
(-.f64 N (log.f64 N))
(/.f64 1 (/.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N))))
(-.f64 N (log.f64 N))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(pow.f64 (-.f64 N (log.f64 N)) 1)
(-.f64 N (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2)
(-.f64 N (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)
(-.f64 N (log.f64 N))
(pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3)
(-.f64 N (log.f64 N))
(sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (exp.f64 N) N))
(-.f64 N (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3))
(-.f64 N (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(exp.f64 (log.f64 (-.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(log1p.f64 (expm1.f64 (-.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(fma.f64 1 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))

eval184.0ms (3.1%)

Compiler

Compiled 9700 to 6810 computations (29.8% saved)

prune84.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5073510
Fresh011
Picked011
Done224
Total5097516
Error
0.0b
Counts
516 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.6b
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
▶45.9b
(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓30.7b
(/.f64 1 N)
✓31.2b
(-.f64 N (log.f64 N))
✓32.0b
(neg.f64 (log.f64 N))
▶0.0b
(log1p.f64 (+.f64 (/.f64 1 N) 0))
61.1b
N
Compiler

Compiled 46 to 31 computations (32.6% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (+.f64 (/.f64 1 N) 0))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@-inf
(log1p.f64 (+.f64 (/.f64 1 N) 0))
0.0ms
N
@inf
(log1p.f64 (+.f64 (/.f64 1 N) 0))
0.0ms
N
@0
(log1p.f64 (+.f64 (/.f64 1 N) 0))

rewrite55.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1312×add-sqr-sqrt
1290×*-un-lft-identity
1210×add-cube-cbrt
1198×add-cbrt-cube
1186×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
118311
2197311
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (/.f64 1 N) 0))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))))))

simplify58.0ms (1%)

Algorithm
1×egg-herbie
Rules
900×fma-def
878×associate-/r*
830×*-commutative
774×associate-*r/
660×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063717
1152619
2582523
32222515
45340515
Stop Event
1×node limit
Counts
27 → 47
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 N (*.f64 N -1/2)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 N (*.f64 N -1/2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) 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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.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 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(+.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 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.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 1/2 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.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 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(+.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 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓14.1b
(/.f64 (+.f64 N -1/2) (*.f64 N N))
Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@0
(/.f64 (+.f64 N -1/2) (*.f64 N N))
0.0ms
N
@-inf
(/.f64 (+.f64 N -1/2) (*.f64 N N))
0.0ms
N
@inf
(/.f64 (+.f64 N -1/2) (*.f64 N N))

rewrite65.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1794×add-sqr-sqrt
1766×*-un-lft-identity
1668×add-cube-cbrt
1652×add-cbrt-cube
158×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115919
2226319
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (+.f64 N -1/2) (*.f64 N N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N -1/2) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 N -1/2)) (*.f64 (sqrt.f64 (+.f64 N -1/2)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) (/.f64 (sqrt.f64 (+.f64 N -1/2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 N -1/2)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) (+.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (neg.f64 N)) (/.f64 1 (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 N -1/2) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) 1) (/.f64 (sqrt.f64 (+.f64 N -1/2)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N -1/2)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 (sqrt.f64 (+.f64 N -1/2)) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) N) (/.f64 (cbrt.f64 (+.f64 N -1/2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 N -1/2) (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 N -1/2)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))))

simplify62.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1768×associate-+r+
1590×associate-+l+
820×associate-*r/
606×unswap-sqr
580×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0961157
12551145
2934911
35068911
Stop Event
1×node limit
Counts
45 → 47
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1)
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(*.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(*.f64 (sqrt.f64 (+.f64 N -1/2)) (*.f64 (sqrt.f64 (+.f64 N -1/2)) (pow.f64 N -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) (/.f64 (sqrt.f64 (+.f64 N -1/2)) N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 N -1/2)) (pow.f64 N -2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(*.f64 (+.f64 1/2 (neg.f64 N)) (/.f64 1 (*.f64 N (neg.f64 N))))
(*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 N -1/2) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) 1) (/.f64 (sqrt.f64 (+.f64 N -1/2)) (*.f64 N N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N -1/2)) (*.f64 N N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 (sqrt.f64 (+.f64 N -1/2)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) N) (/.f64 (cbrt.f64 (+.f64 N -1/2)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3) 1/3)
(pow.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) -1)
(neg.f64 (/.f64 (+.f64 N -1/2) (*.f64 N (neg.f64 N))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 N -1/2)) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(*.f64 -1/2 (pow.f64 N -2))
(-.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 -1/2 N) (pow.f64 N -2))
(-.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 -1/2 N) (pow.f64 N -2))
(-.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 -1/2 N) (pow.f64 N -2))
(/.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 -1/2 N) (pow.f64 N -2))
(-.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 -1/2 N) (pow.f64 N -2))
(-.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 -1/2 N) (pow.f64 N -2))
(/.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 -1/2 N) (pow.f64 N -2))
(-.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 -1/2 N) (pow.f64 N -2))
(-.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 -1/2 N) (pow.f64 N -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 (+.f64 N -1/2) (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 -1/2 N) (pow.f64 N -2))
(*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 1 (*.f64 (+.f64 N -1/2) (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 -1/2 N) (pow.f64 N -2))
(*.f64 (sqrt.f64 (+.f64 N -1/2)) (*.f64 (sqrt.f64 (+.f64 N -1/2)) (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 -1/2 N) (pow.f64 N -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) (/.f64 (sqrt.f64 (+.f64 N -1/2)) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 N -1/2)) (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 -1/2 N) (pow.f64 N -2))
(*.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 N -1/2) (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 -1/2 N) (pow.f64 N -2))
(*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 (+.f64 1/2 (neg.f64 N)) (/.f64 1 (*.f64 N (neg.f64 N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 N -1/2) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (+.f64 -1/2 N) (*.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) 1) (/.f64 (sqrt.f64 (+.f64 N -1/2)) (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N -1/2)) (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 (sqrt.f64 (+.f64 N -1/2)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (+.f64 -1/2 N) (*.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) N) (/.f64 (cbrt.f64 (+.f64 N -1/2)) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2) (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 -1/2 N) (pow.f64 N -2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) (cbrt.f64 (pow.f64 N 4))))
(pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(pow.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3) 1/3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(pow.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) -1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(neg.f64 (/.f64 (+.f64 N -1/2) (*.f64 N (neg.f64 N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 -1/2 N) 2) (pow.f64 N 4)))
(fabs.f64 (*.f64 (+.f64 -1/2 N) (pow.f64 N -2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 N -1/2)) (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 -1/2 N) (pow.f64 N -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (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 -1/2 N) (pow.f64 N -2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (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 -1/2 N) (pow.f64 N -2))
(exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (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 -1/2 N) (pow.f64 N -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (+.f64 -1/2 N) (pow.f64 N -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N -1/2) (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 -1/2 N) (pow.f64 N -2))

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
✓0.3b
(pow.f64 (log1p.f64 N) 2)
✓0.5b
(pow.f64 (log.f64 N) 2)
✓1.7b
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
Compiler

Compiled 44 to 20 computations (54.5% saved)

series47.0ms (0.8%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
18.0ms
N
@-inf
(pow.f64 (log.f64 N) 2)
16.0ms
N
@0
(pow.f64 (log.f64 N) 2)
5.0ms
N
@inf
(pow.f64 (log.f64 N) 2)
4.0ms
N
@-inf
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
1.0ms
N
@inf
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))

rewrite116.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1892×associate-/r*
1740×associate-/l*
1258×associate-/r/
278×add-sqr-sqrt
272×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01296
126864
2383364
Stop Event
1×node limit
Counts
4 → 251
Calls
Call 1
Inputs
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
(pow.f64 (log.f64 N) 2)
(pow.f64 (log1p.f64 N) 2)
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2))))))) 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simplify158.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1342×associate-*r*
1082×associate-*l*
872×+-commutative
768×associate-+r+
742×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079121029
1235020721
Stop Event
1×node limit
Counts
295 → 470
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 11/12 (pow.f64 N 4)) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 N 2)
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 3)))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 11/12 (pow.f64 N 4))))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (+.f64 (*.f64 -5/6 (pow.f64 N 5)) (*.f64 11/12 (pow.f64 N 4)))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))) (/.f64 1 (pow.f64 N 3)))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
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(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.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 (log.f64 N) (log1p.f64 N)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(neg.f64 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (*.f64 N N) (*.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2))))
(+.f64 (*.f64 N N) (*.f64 -1 (+.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3))))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 11/12 (pow.f64 N 4)) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(+.f64 (*.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (*.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)))))
(+.f64 (*.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (*.f64 -1 (+.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)))))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))
(/.f64 (*.f64 2 (log.f64 N)) N)
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))
(+.f64 (/.f64 (*.f64 2 (log.f64 N)) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 1 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (/.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 1 (*.f64 N N))) (-.f64 (/.f64 (*.f64 2 (log.f64 N)) N) (/.f64 1 (pow.f64 N 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (/.f64 (*.f64 (log.f64 N) -1/2) (pow.f64 N 4)) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 1 (*.f64 N N)))) (/.f64 (*.f64 2 (log.f64 N)) N)) (-.f64 (/.f64 11/12 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 3)))))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (/.f64 1 (*.f64 N N))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 3)))
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 N 3)))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 11/12 (pow.f64 N 4))))
(+.f64 (*.f64 N N) (fma.f64 -1 (pow.f64 N 3) (*.f64 11/12 (pow.f64 N 4))))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (+.f64 (*.f64 -5/6 (pow.f64 N 5)) (*.f64 11/12 (pow.f64 N 4)))))
(+.f64 (*.f64 N N) (fma.f64 -1 (pow.f64 N 3) (fma.f64 -5/6 (pow.f64 N 5) (*.f64 11/12 (pow.f64 N 4)))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (pow.f64 (neg.f64 (log.f64 N)) 2))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))
(+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (/.f64 1 (*.f64 N N)) (pow.f64 (neg.f64 (log.f64 N)) 2))))
(+.f64 (/.f64 (*.f64 2 (log.f64 N)) N) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (pow.f64 (neg.f64 (log.f64 N)) 2)) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (/.f64 1 (*.f64 N N)) (pow.f64 (neg.f64 (log.f64 N)) 2))))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (/.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 (*.f64 2 (log.f64 N)) N) (+.f64 (/.f64 1 (*.f64 N N)) (pow.f64 (neg.f64 (log.f64 N)) 2))) (-.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 1 (pow.f64 N 3)))))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))))
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(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(/.f64 1 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))

eval279.0ms (4.7%)

Compiler

Compiled 17555 to 9769 computations (44.4% saved)

prune86.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5613564
Fresh011
Picked101
Done235
Total5647571
Error
0b
Counts
571 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.3b
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
✓45.9b
(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓30.7b
(/.f64 1 N)
✓32.0b
(neg.f64 (log.f64 N))
▶0.0b
(log1p.f64 (/.f64 1 N))
▶20.1b
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
61.1b
N
Compiler

Compiled 39 to 30 computations (23.1% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (/.f64 1 N))
✓0.5b
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
✓20.2b
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 24 to 19 computations (20.8% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
N
@0
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
0.0ms
N
@inf
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
0.0ms
N
@-inf
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
0.0ms
N
@0
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
0.0ms
N
@inf
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))

rewrite69.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1516×add-sqr-sqrt
1480×*-un-lft-identity
1398×add-cube-cbrt
1384×add-cbrt-cube
1368×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
120239
2203039
Stop Event
1×node limit
Counts
3 → 62
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(log1p.f64 (/.f64 1 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (/.f64 1 N))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 N)) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1) (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 3) (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))))))

simplify82.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1492×distribute-lft-in
1172×fma-def
1100×+-commutative
862×*-commutative
700×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01573226
14172866
215842506
346782492
Stop Event
1×node limit
Counts
98 → 103
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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 (pow.f64 (log.f64 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (*.f64 -2 (log.f64 N))))) (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))))))
(+.f64 (*.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (*.f64 2 (log.f64 N)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (-.f64 (*.f64 -2/3 (log.f64 N)) 1))) (*.f64 1/3 (pow.f64 (log.f64 N) 2)))))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (*.f64 -2 (log.f64 N))))) (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(log1p.f64 (/.f64 1 N))
(-.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(*.f64 (log1p.f64 (/.f64 1 N)) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (log1p.f64 (/.f64 1 N)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1) (log1p.f64 (/.f64 1 N)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 3) (log1p.f64 (/.f64 1 N)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (-.f64 (*.f64 N (*.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 -1/2 (*.f64 N N) N) (log.f64 N))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 N (*.f64 N -1/2))))
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(/.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 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 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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.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 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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(neg.f64 (pow.f64 (log.f64 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2))))
(fma.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 3)))
(*.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 N 3) (log.f64 N)))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (*.f64 -2 (log.f64 N))))) (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (*.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (*.f64 (log.f64 N) -2))) (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)))))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 (log.f64 N) -2) (fma.f64 (log.f64 N) (log.f64 N) (log.f64 N)))) (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)))) (pow.f64 (log.f64 N) 3))
(fma.f64 N (*.f64 N (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1))))) (*.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 N 3) (log.f64 N))))
(fma.f64 N (*.f64 N (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (-.f64 -3 (log.f64 N))))) (*.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 N 3) (log.f64 N))))
(+.f64 (*.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (*.f64 2 (log.f64 N)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (-.f64 (*.f64 -2/3 (log.f64 N)) 1))) (*.f64 1/3 (pow.f64 (log.f64 N) 2)))))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (*.f64 -2 (log.f64 N))))) (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))))
(fma.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 2 (log.f64 N) (fma.f64 -1 (*.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1)) (*.f64 1/3 (pow.f64 (log.f64 N) 2))))) (fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (*.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (*.f64 (log.f64 N) -2))) (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2))))))
(fma.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 (log.f64 N) 2 (fma.f64 (neg.f64 (log.f64 N)) (fma.f64 (log.f64 N) -2/3 -1) (*.f64 1/3 (pow.f64 (log.f64 N) 2))))) (-.f64 (fma.f64 (*.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 (log.f64 N) -2) (fma.f64 (log.f64 N) (log.f64 N) (log.f64 N)))) (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)))) (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (-.f64 2 (fma.f64 (log.f64 N) -2/3 -1))))) (fma.f64 N (*.f64 N (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1))))) (*.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 N 3) (log.f64 N)))))
(fma.f64 (pow.f64 N 3) (+.f64 (*.f64 (log.f64 N) (-.f64 3 (*.f64 (log.f64 N) -2/3))) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) 1)) (fma.f64 N (*.f64 N (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (-.f64 -3 (log.f64 N))))) (*.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 N 3) (log.f64 N)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))) (/.f64 -15/8 (pow.f64 N 6))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 -3/2 (pow.f64 N 4)) (/.f64 -15/8 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))) (/.f64 -15/8 (pow.f64 N 6))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 -3/2 (pow.f64 N 4)) (/.f64 -15/8 (pow.f64 N 6)))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (-.f64 (*.f64 N (*.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 -1/2 (*.f64 N N) N) (log.f64 N))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
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(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
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(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
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(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
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(log1p.f64 (/.f64 1 N))
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(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
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(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
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(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
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(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
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(log1p.f64 (/.f64 1 N))
(log1p.f64 (/.f64 1 N))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
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(-.f64 (+.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1))
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(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1))
(+.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 0)
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(*.f64 (log1p.f64 (/.f64 1 N)) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1))
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(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1))
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(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1))
(+.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 0)
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
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(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (log1p.f64 (/.f64 1 N)))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1))
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(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1) (log1p.f64 (/.f64 1 N)))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1))
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(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1))
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(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 4))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 3) (log1p.f64 (/.f64 1 N)))
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(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 6))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1))
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(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
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(log1p.f64 (/.f64 1 N))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
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(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
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(log1p.f64 (/.f64 1 N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
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(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
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(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
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(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
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(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
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(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
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localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 1 N))
Compiler

Compiled 10 to 7 computations (30% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 1 N))
✓0.6b
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
✓0.7b
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
Compiler

Compiled 23 to 18 computations (21.7% saved)

series8.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
4.0ms
N
@0
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
1.0ms
N
@inf
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
1.0ms
N
@-inf
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
1.0ms
N
@0
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
0.0ms
N
@inf
(cbrt.f64 (log1p.f64 (/.f64 1 N)))

rewrite82.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1516×add-sqr-sqrt
1480×*-un-lft-identity
1398×add-cube-cbrt
1384×add-cbrt-cube
1368×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120226
2203026
Stop Event
1×node limit
Counts
2 → 41
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (pow.f64 N -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 N -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) (*.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -1))) (sqrt.f64 (log1p.f64 (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) 1) (cbrt.f64 (log1p.f64 (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6)) (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))) 3) (cbrt.f64 (log1p.f64 (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (pow.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 N -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (pow.f64 N -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log1p.f64 (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -1))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 N -1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 N -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))))))

simplify150.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1582×fma-def
904×unswap-sqr
862×distribute-lft-in
856×distribute-rgt-in
486×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02024337
15914047
222603839
377493839
Stop Event
1×node limit
Counts
49 → 81
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))
(+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3))))
(+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))))
(+.f64 (*.f64 (pow.f64 N 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 2)) 1/9) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))) (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (cbrt.f64 -1)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))))))) (+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3))))))
(*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 N (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 N (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3)))))
(+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (pow.f64 N 3) (-.f64 1/3 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 N (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3))))))
(-.f64 (+.f64 1 (log1p.f64 (pow.f64 N -1))) 1)
(*.f64 1 (log1p.f64 (pow.f64 N -1)))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)))
(*.f64 (log1p.f64 (pow.f64 N -1)) 1)
(*.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) (*.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -1))) (sqrt.f64 (log1p.f64 (pow.f64 N -1))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 N -1))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) 1) (cbrt.f64 (log1p.f64 (pow.f64 N -1))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6)) (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))) 3) (cbrt.f64 (log1p.f64 (pow.f64 N -1))))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))
(log.f64 (+.f64 1 (pow.f64 N -1)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 N -1))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 N -1))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 N -1))) 1))
(log1p.f64 (pow.f64 N -1))
(-.f64 (+.f64 1 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (pow.f64 N -1))))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1))) 1)
(*.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (pow.f64 N -1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -1))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -1))) 1/3))
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1))) 1)
(pow.f64 (log1p.f64 (pow.f64 N -1)) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) 1))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 N -1))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
Outputs
(*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))
(neg.f64 (log.f64 N))
(+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3))))
(fma.f64 N (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (neg.f64 (log.f64 N)))
(-.f64 (*.f64 N (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (log.f64 N))
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) N) (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18))) (log.f64 N))
(+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))))
(fma.f64 (*.f64 N N) (fma.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 -1/3 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (fma.f64 N (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (neg.f64 (log.f64 N))))
(fma.f64 (*.f64 N N) (fma.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 -1) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/2) (cbrt.f64 -1)))))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 2/9 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/2) -1/3))) (-.f64 (*.f64 N (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (log.f64 N)))
(-.f64 (*.f64 N (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1)))) (*.f64 N (fma.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (log.f64 N)) (fma.f64 -2/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (cbrt.f64 -1)) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (*.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)))))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2/9) (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) -1/3)))))) (log.f64 N))
(+.f64 (*.f64 (pow.f64 N 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 2)) 1/9) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))) (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (cbrt.f64 -1)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))))))) (+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3))))))
(fma.f64 (pow.f64 N 3) (fma.f64 -2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18)) (*.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/18)) (*.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (*.f64 1/3 (-.f64 1/3 (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18)) (*.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))))))) (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 -1) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (-.f64 1/3 (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18)) (*.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))))) (cbrt.f64 -1))) (*.f64 -2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 8)) 1/18)) (*.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))))))))))) (fma.f64 (*.f64 N N) (fma.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 -1/3 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (fma.f64 N (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (neg.f64 (log.f64 N)))))
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(+.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 0)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -1)) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
(+.f64 1 (-.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 0)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
(+.f64 1 (-.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 0)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
(+.f64 1 (-.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 0)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))) 1))
(+.f64 1 (-.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 0)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 N -1))) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 0)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -1)))))
(+.f64 1 (-.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 0)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))

eval125.0ms (2.1%)

Compiler

Compiled 6028 to 4844 computations (19.6% saved)

prune23.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1860186
Fresh011
Picked011
Done055
Total1867193
Error
0b
Counts
193 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.3b
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
✓45.9b
(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓30.7b
(/.f64 1 N)
✓32.0b
(neg.f64 (log.f64 N))
✓0.0b
(log1p.f64 (/.f64 1 N))
✓20.1b
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
61.1b
N
Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes17.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(neg.f64 (log.f64 N))
(log1p.f64 (/.f64 1 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(log1p.f64 (+.f64 (/.f64 1 N) 0))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

10.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
ErrorSegmentsBranch
0.0b1N
0.0b1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 95 to 59 computations (37.9% saved)

regimes9.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(neg.f64 (log.f64 N))
Outputs
(neg.f64 (log.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
Calls

1 calls:

8.0ms
N
Results
ErrorSegmentsBranch
0.8b2N
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch45.0ms (0.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
44.0ms
0.00012864408196244432
24.65053372520299
Results
43.0ms144×body256valid
Compiler

Compiled 156 to 117 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -31.9b remaining (-103.8%)

Threshold costs -31.9b (-103.8%)

Counts
4 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
Outputs
(/.f64 1 N)
Calls

1 calls:

4.0ms
N
Results
ErrorSegmentsBranch
30.7b1N
Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×sub-neg
6×+-commutative
4×neg-mul-1
4×*-commutative
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01962
12662
23462
33762
43862
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(/.f64 1 N)
N
Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
N
Compiler

Compiled 28 to 20 computations (28.6% saved)

soundness201.0ms (3.4%)

Algorithm
3×egg-herbie
Rules
900×fma-def
878×associate-/r*
830×*-commutative
796×distribute-lft-in
774×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
610415
714315
818915
923215
1025615
1125815
01721609
14241559
217121547
368861547
063717
1152619
2582523
32222515
45340515
Stop Event
1×node limit
1×node limit
1×saturated
Compiler

Compiled 154 to 123 computations (20.1% saved)

end26.0ms (0.4%)

Compiler

Compiled 25 to 17 computations (32% saved)

Profiling

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