2log (problem 3.3.6)

Time bar (total: 5.4s)

analyze2.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (27.3%)

Results
614.0ms4836×body256valid
587.0ms2178×body1024valid
183.0ms1024×body512valid
90.0ms218×body2048valid
1.0ms10×body256invalid
Bogosity

preprocess393.0ms (7.2%)

Algorithm
1×egg-herbie
Rules
7864×fma-def
962×distribute-rgt-in
884×fma-neg
838×distribute-lft-in
788×associate-+r+
Problems
128×(log.f64 (+.f64 N 1))
127×(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1×No Errors
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01689
12771
24571
37971
413771
523371
643369
775869
8151869
9299669
10378069
11381469
12383869
13383869
14596469
15640469
16675669
17675669
18713969
19766269
20783269
21788869
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (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 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.8%
(-.f64 (log1p.f64 N) (log.f64 N))
▶54.8%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶54.8%
(-.f64 (log1p.f64 N) (log.f64 N))
▶54.8%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize140.0ms (2.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓54.8%
(-.f64 (log1p.f64 N) (log.f64 N))
✓54.9%
(log.f64 (+.f64 N 1))
✓54.8%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 30 to 15 computations (50% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite135.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
862×prod-diff
850×unpow-prod-down
628×log1p-expm1-u
628×expm1-log1p-u
558×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
117850
2175650
Stop Event
1×node limit
Counts
3 → 285
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(log.f64 (+.f64 N 1))
(-.f64 (log1p.f64 N) (log.f64 N))
Outputs
(+.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 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (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 (log.f64 (pow.f64 (cbrt.f64 N) -2)) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (log.f64 (pow.f64 N -1/2)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (exp.f64 1)))
(*.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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) 1))
(*.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)) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.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) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.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) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (neg.f64 (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) -1)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 N))) (+.f64 N 1)))
(log.f64 (/.f64 (+.f64 N 1) (+.f64 1 (+.f64 N -1))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.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)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.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)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.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)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
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(fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.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)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.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)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.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)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 (neg.f64 (log.f64 N)))) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))

simplify134.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
862×log-prod
694×times-frac
570×cube-prod
532×swap-sqr
506×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046210918
1111110460
2413910250
Stop Event
1×node limit
Counts
321 → 267
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 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 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 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (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 (log.f64 (pow.f64 (cbrt.f64 N) -2)) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (log.f64 (pow.f64 N -1/2)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (exp.f64 1)))
(*.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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) 1))
(*.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)) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.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) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.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) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (neg.f64 (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
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(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.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) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.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) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (neg.f64 (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) -1)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 N))) (+.f64 N 1)))
(log.f64 (/.f64 (+.f64 N 1) (+.f64 1 (+.f64 N -1))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.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)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.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)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.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)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.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)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 (neg.f64 (log.f64 N)))) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.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 (pow.f64 N 2))))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (neg.f64 (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.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 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N 2) N)
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (*.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N 2) N))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 -1/4 (pow.f64 N 4) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 4) -1/4))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
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(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.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))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.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))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 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))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.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))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.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))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 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))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.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)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.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)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.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)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 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)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.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 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 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)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 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)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 (neg.f64 (log.f64 N)))) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))

eval65.0ms (1.2%)

Compiler

Compiled 3913 to 1969 computations (49.7% saved)

prune56.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New25314267
Fresh000
Picked202
Done000
Total25514269
Accuracy
100.0%
Counts
269 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
53.8%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶51.3%
(/.f64 1 N)
49.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
51.2%
(-.f64 N (log.f64 N))
50.5%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶54.8%
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
54.6%
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
54.4%
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)) (log.f64 (sqrt.f64 (+.f64 N 1))))
▶53.9%
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 1 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 5/2)))
53.5%
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N)))) 4) 2)))
▶54.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
49.7%
(neg.f64 (log.f64 N))
▶54.5%
(log.f64 (+.f64 1 (/.f64 1 N)))
52.6%
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
53.8%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶51.3%
(/.f64 1 N)
49.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
51.2%
(-.f64 N (log.f64 N))
50.5%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶54.8%
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
54.6%
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
54.4%
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)) (log.f64 (sqrt.f64 (+.f64 N 1))))
▶53.9%
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 1 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 5/2)))
53.5%
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N)))) 4) 2)))
▶54.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
49.7%
(neg.f64 (log.f64 N))
▶54.5%
(log.f64 (+.f64 1 (/.f64 1 N)))
Compiler

Compiled 768 to 572 computations (25.5% saved)

localize535.0ms (9.8%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓99.4%
(pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 5/2)
✓99.0%
(cbrt.f64 (sqrt.f64 (log.f64 (+.f64 1 (/.f64 1 N)))))
✓70.8%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 5/2))
✓54.5%
(log.f64 (+.f64 1 (/.f64 1 N)))
✓100.0%
(log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))
✓99.4%
(/.f64 (+.f64 N 1) (sqrt.f64 N))
✓54.8%
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
✓100.0%
(+.f64 1 (/.f64 1 N))
✓54.5%
(log.f64 (+.f64 1 (/.f64 1 N)))
✓100.0%
(/.f64 N (+.f64 N 1))
✓54.9%
(log.f64 (/.f64 N (+.f64 N 1)))
Compiler

Compiled 152 to 111 computations (27% saved)

series19.0ms (0.4%)

Counts
11 → 87
Calls

33 calls:

TimeVariablePointExpression
4.0ms
N
@0
(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 5/2))
2.0ms
N
@-inf
(pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 5/2)
2.0ms
N
@-inf
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
1.0ms
N
@0
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
1.0ms
N
@inf
(pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 5/2)

rewrite186.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
1147×log1p-expm1-u
598×expm1-udef
596×log1p-udef
260×expm1-log1p-u
226×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025244
1382215
24986215
Stop Event
1×node limit
Counts
11 → 318
Calls
Call 1
Inputs
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(log.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 1 (/.f64 1 N))
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(/.f64 (+.f64 N 1) (sqrt.f64 N))
(log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 5/2))
(cbrt.f64 (sqrt.f64 (log.f64 (+.f64 1 (/.f64 1 N)))))
(pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 5/2)
Outputs
(+.f64 (log.f64 N) (neg.f64 (log1p.f64 N)))
(+.f64 (log.f64 N) (log.f64 (/.f64 1 (+.f64 N 1))))
(+.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 2))) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 0 (log.f64 (/.f64 (+.f64 N 1) N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (+.f64 -1 (neg.f64 N))))
(*.f64 1 (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2) (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log1p.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 (+.f64 N 1) N)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))
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(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -1/2)))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 (sqrt.f64 N))))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) N))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(-.f64 0 (log.f64 (/.f64 (sqrt.f64 N) (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))) 1)
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 (sqrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (sqrt.f64 N)) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 (sqrt.f64 N)) (log.f64 (sqrt.f64 N))) (*.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 (sqrt.f64 N)) (log.f64 (sqrt.f64 N)))) (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2)
(neg.f64 (log.f64 (/.f64 (sqrt.f64 N) (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)) 1))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 N)) 2))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(*.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 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(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))
(log1p.f64 (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6) 1)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) 1/3) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4) 1/3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) 3)
(pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(exp.f64 (*.f64 (*.f64 5/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 1)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/6))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/3) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1/3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2) 1)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4))
(*.f64 (pow.f64 1 5/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5/2) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 5/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 5/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) 1) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))) (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)))
(exp.f64 (*.f64 5/2 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 5/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)))

simplify156.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
948×fma-def
802×associate-*r*
738×associate-*l*
596×*-commutative
508×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092117302
1230416528
Stop Event
1×node limit
Counts
405 → 509
Calls
Call 1
Inputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(*.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 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
1
1
(*.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 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6)
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(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)) 1))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 N)) 2))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(*.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 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(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))
(log1p.f64 (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6) 1)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) 1/3) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4) 1/3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) 3)
(pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(exp.f64 (*.f64 (*.f64 5/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 1)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/6))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/3) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1/3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2) 1)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4))
(*.f64 (pow.f64 1 5/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5/2) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 5/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 5/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) 1) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))) (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)))
(exp.f64 (*.f64 5/2 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 5/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)))
Outputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (neg.f64 N))
(-.f64 (log.f64 N) N)
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 -1 N (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (*.f64 1/2 (pow.f64 N 2)) (-.f64 (log.f64 N) N))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (fma.f64 -1 N (fma.f64 -1/3 (pow.f64 N 3) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (fma.f64 1/2 (pow.f64 N 2) (*.f64 -1/3 (pow.f64 N 3))) (-.f64 (log.f64 N) N))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (neg.f64 (pow.f64 N 2)))
(-.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (pow.f64 N 3)))
(+.f64 N (-.f64 (pow.f64 N 3) (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (fma.f64 -1 (pow.f64 N 4) (pow.f64 N 3))))
(+.f64 N (-.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 4)) (pow.f64 N 2)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N)))
(+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N))) (/.f64 1 (pow.f64 N 3)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N)))
(+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N))) (/.f64 1 (pow.f64 N 3)))
(*.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 (pow.f64 N 2) -1/2)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (pow.f64 N 2) -1/2))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 (pow.f64 N 3) 1/3))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (pow.f64 N 2) -1/2 (*.f64 (pow.f64 N 3) 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 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.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 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
1
1
(*.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 (pow.f64 N 2) -1/2)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (pow.f64 N 2) -1/2))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 (pow.f64 N 3) 1/3))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (pow.f64 N 2) -1/2 (*.f64 (pow.f64 N 3) 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 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.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 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
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(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/6))
(cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/3) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/3)
(cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 1)
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) 3)
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/6) 2)
(cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) 1))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))) 1)
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2) 1)
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(*.f64 (pow.f64 1 5/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5/2) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5/2))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 5/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 5/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) 1) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5))) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)) (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6))) (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/6) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2) 3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(exp.f64 (*.f64 5/2 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(exp.f64 (*.f64 (*.f64 5/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)

eval474.0ms (8.7%)

Compiler

Compiled 15984 to 12371 computations (22.6% saved)

prune109.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New6952697
Fresh819
Picked415
Done000
Total7074711
Accuracy
100.0%
Counts
711 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.3%
(/.f64 1 N)
▶49.7%
(neg.f64 (log.f64 N))
▶99.6%
(log1p.f64 (/.f64 1 N))
▶94.3%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
✓51.3%
(/.f64 1 N)
▶49.7%
(neg.f64 (log.f64 N))
▶99.6%
(log1p.f64 (/.f64 1 N))
▶94.3%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
Compiler

Compiled 40 to 32 computations (20% saved)

localize73.0ms (1.3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.6%
(log1p.f64 (/.f64 1 N))
✓100.0%
(log.f64 (log1p.f64 (/.f64 1 N)))
✓99.6%
(log1p.f64 (/.f64 1 N))
✓94.7%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
Compiler

Compiled 37 to 25 computations (32.4% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite61.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
466×unpow-prod-down
384×frac-times
352×log-prod
334×cbrt-prod
315×log1p-expm1-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01160
19360
294536
Stop Event
1×node limit
Counts
4 → 180
Calls
Call 1
Inputs
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(log.f64 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
Outputs
(+.f64 1 (-.f64 (log1p.f64 N) 1))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (log.f64 (cbrt.f64 (+.f64 1 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 N))) (log.f64 (sqrt.f64 (+.f64 1 N))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (fma.f64 N N N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 5)) (pow.f64 (log1p.f64 N) 1/6))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/4)) (pow.f64 (log.f64 (log1p.f64 N)) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(fabs.f64 (log1p.f64 N))
(log.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(log1p.f64 N)
(+.f64 1 (-.f64 (log1p.f64 N) 1))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (log.f64 (cbrt.f64 (+.f64 1 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 N))) (log.f64 (sqrt.f64 (+.f64 1 N))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (fma.f64 N N N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 5)) (pow.f64 (log1p.f64 N) 1/6))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/4)) (pow.f64 (log.f64 (log1p.f64 N)) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(fabs.f64 (log1p.f64 N))
(log.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (log1p.f64 N))))
(+.f64 (log.f64 (log1p.f64 N)) 0)
(+.f64 0 (log.f64 (log1p.f64 N)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))) (log.f64 (cbrt.f64 (log1p.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) (log.f64 (sqrt.f64 (log1p.f64 N))))
(-.f64 (+.f64 1 (log.f64 (log1p.f64 N))) 1)
(*.f64 1 (log.f64 (log1p.f64 N)))
(*.f64 (log.f64 (log1p.f64 N)) 1)
(*.f64 (log.f64 (log1p.f64 N)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2) (cbrt.f64 (log.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (log.f64 (log1p.f64 N))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(*.f64 2 (log.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 1/3 (*.f64 3 (log.f64 (log1p.f64 N))))
(*.f64 3 (log.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log.f64 (log1p.f64 N)) 1/4) (sqrt.f64 (pow.f64 (log.f64 (log1p.f64 N)) 3/2)))
(*.f64 (pow.f64 1 1/3) (log.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 (log1p.f64 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log1p.f64 N)) 5/2) 1/3) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 N)) 5/2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (log1p.f64 N)) 3/2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 5)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (log.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log.f64 (log1p.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (log1p.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log1p.f64 N))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (log.f64 (log.f64 (log1p.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (log1p.f64 N))))) (sqrt.f64 (log.f64 (log.f64 (log1p.f64 N)))))
(sqrt.f64 (pow.f64 (log.f64 (log1p.f64 N)) 2))
(fabs.f64 (log.f64 (log1p.f64 N)))
(cbrt.f64 (pow.f64 (log.f64 (log1p.f64 N)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (log1p.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) 2))
(log1p.f64 (-.f64 (log1p.f64 N) 1))
(+.f64 1 (-.f64 (log1p.f64 N) 1))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (log.f64 (cbrt.f64 (+.f64 1 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 N))) (log.f64 (sqrt.f64 (+.f64 1 N))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (fma.f64 N N N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 5)) (pow.f64 (log1p.f64 N) 1/6))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/4)) (pow.f64 (log.f64 (log1p.f64 N)) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(fabs.f64 (log1p.f64 N))
(log.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (log1p.f64 N))))

simplify139.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1856×fma-def
704×distribute-lft-in
650×distribute-rgt-in
566×*-commutative
430×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02747166
16455875
221135755
Stop Event
1×node limit
Counts
228 → 175
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 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 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 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 (*.f64 -1 (log.f64 N))) (*.f64 -1 (/.f64 N (log.f64 N))))
(+.f64 (log.f64 (*.f64 -1 (log.f64 N))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (log.f64 (*.f64 -1 (log.f64 N))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 N))) (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))))
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(*.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 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 1 (-.f64 (log1p.f64 N) 1))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (log.f64 (cbrt.f64 (+.f64 1 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 N))) (log.f64 (sqrt.f64 (+.f64 1 N))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (fma.f64 N N N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 5)) (pow.f64 (log1p.f64 N) 1/6))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/4)) (pow.f64 (log.f64 (log1p.f64 N)) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(fabs.f64 (log1p.f64 N))
(log.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(log1p.f64 N)
(+.f64 1 (-.f64 (log1p.f64 N) 1))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (log.f64 (cbrt.f64 (+.f64 1 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 N))) (log.f64 (sqrt.f64 (+.f64 1 N))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (fma.f64 N N N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 5)) (pow.f64 (log1p.f64 N) 1/6))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/4)) (pow.f64 (log.f64 (log1p.f64 N)) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(fabs.f64 (log1p.f64 N))
(log.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (log1p.f64 N))))
(+.f64 (log.f64 (log1p.f64 N)) 0)
(+.f64 0 (log.f64 (log1p.f64 N)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))) (log.f64 (cbrt.f64 (log1p.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) (log.f64 (sqrt.f64 (log1p.f64 N))))
(-.f64 (+.f64 1 (log.f64 (log1p.f64 N))) 1)
(*.f64 1 (log.f64 (log1p.f64 N)))
(*.f64 (log.f64 (log1p.f64 N)) 1)
(*.f64 (log.f64 (log1p.f64 N)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2) (cbrt.f64 (log.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (log.f64 (log1p.f64 N))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(*.f64 2 (log.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 1/3 (*.f64 3 (log.f64 (log1p.f64 N))))
(*.f64 3 (log.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log.f64 (log1p.f64 N)) 1/4) (sqrt.f64 (pow.f64 (log.f64 (log1p.f64 N)) 3/2)))
(*.f64 (pow.f64 1 1/3) (log.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 (log1p.f64 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log1p.f64 N)) 5/2) 1/3) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 N)) 5/2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (log1p.f64 N)) 3/2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 5)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (log.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log.f64 (log1p.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (log1p.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log1p.f64 N))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (log.f64 (log.f64 (log1p.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (log1p.f64 N))))) (sqrt.f64 (log.f64 (log.f64 (log1p.f64 N)))))
(sqrt.f64 (pow.f64 (log.f64 (log1p.f64 N)) 2))
(fabs.f64 (log.f64 (log1p.f64 N)))
(cbrt.f64 (pow.f64 (log.f64 (log1p.f64 N)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (log1p.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) 2))
(log1p.f64 (-.f64 (log1p.f64 N) 1))
(+.f64 1 (-.f64 (log1p.f64 N) 1))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (log.f64 (cbrt.f64 (+.f64 1 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 N))) (log.f64 (sqrt.f64 (+.f64 1 N))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (fma.f64 N N N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 5)) (pow.f64 (log1p.f64 N) 1/6))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/4)) (pow.f64 (log.f64 (log1p.f64 N)) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(fabs.f64 (log1p.f64 N))
(log.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (log1p.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 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N 2) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 N 1/3) -1/2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.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 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))
(*.f64 -1 (log.f64 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 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N 2) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 N 1/3) -1/2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.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 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.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 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
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(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log1p.f64 N)))))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 8)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 8)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 5)) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (pow.f64 (log1p.f64 N) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 5)))
(*.f64 (pow.f64 (log1p.f64 N) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 5/2)))
(*.f64 (pow.f64 (log1p.f64 N) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 N)) 5/2))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(/.f64 (exp.f64 (+.f64 1 (log.f64 (log1p.f64 N)))) (E.f64))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(pow.f64 (log1p.f64 N) 1)
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (log1p.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6)) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (cbrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 (log1p.f64 N)) 1/4)) (pow.f64 (log.f64 (log1p.f64 N)) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(fabs.f64 (log1p.f64 N))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(log.f64 (+.f64 1 N))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(exp.f64 (log.f64 (log1p.f64 N)))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (log1p.f64 N))))
(+.f64 1 (+.f64 (log1p.f64 N) -1))
(log1p.f64 N)

eval145.0ms (2.7%)

Compiler

Compiled 2201 to 1307 computations (40.6% saved)

prune24.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1791180
Fresh000
Picked033
Done011
Total1795184
Accuracy
100.0%
Counts
184 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.3%
(/.f64 1 N)
✓49.7%
(neg.f64 (log.f64 N))
✓99.6%
(log1p.f64 (/.f64 1 N))
▶5.4%
(log1p.f64 N)
✓94.3%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
✓51.3%
(/.f64 1 N)
✓49.7%
(neg.f64 (log.f64 N))
✓99.6%
(log1p.f64 (/.f64 1 N))
▶5.4%
(log1p.f64 N)
✓94.3%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
Compiler

Compiled 46 to 36 computations (21.7% saved)

localize16.0ms (0.3%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune8.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.3%
(/.f64 1 N)
✓49.7%
(neg.f64 (log.f64 N))
✓99.6%
(log1p.f64 (/.f64 1 N))
✓5.4%
(log1p.f64 N)
✓94.3%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
Compiler

Compiled 226 to 155 computations (31.4% saved)

regimes22.0ms (0.4%)

Counts
19 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(log1p.f64 N)
(neg.f64 (log.f64 N))
(log1p.f64 (/.f64 1 N))
(-.f64 N (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)) (log.f64 (sqrt.f64 (+.f64 N 1))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 1 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 5/2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N)))) 4) 2)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

11.0ms
N
5.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.6%1N
99.6%1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 213 to 144 computations (32.4% saved)

regimes8.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(log1p.f64 N)
(neg.f64 (log.f64 N))
Outputs
(neg.f64 (log.f64 N))
(/.f64 1 N)
Calls

1 calls:

7.0ms
N
Results
AccuracySegmentsBranch
97.0%2N
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -29.4b remaining (-94.3%)

Threshold costs -29.4b (-94.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(log1p.f64 N)
Outputs
(/.f64 1 N)
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
51.3%1N
Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch30.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
0.10590089217472594
0.825118501812237
Results
29.0ms96×body256valid
Compiler

Compiled 72 to 57 computations (20.8% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×sub-neg
2×1-exp
2×neg-mul-1
2×+-commutative
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01758
12258
22458
32558
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 607985949695017/1125899906842624) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 607985949695017/1125899906842624) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
Compiler

Compiled 20 to 15 computations (25% saved)

soundness961.0ms (17.6%)

Rules
1147×log1p-expm1-u
948×fma-def
862×log-prod
862×log-prod
862×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
117850
2175650
046210918
1111110460
2413910250
025244
1382215
24986215
092117302
1230416528
046210918
1111110460
2413910250
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 163 to 117 computations (28.2% saved)

end0.0ms (0%)

preprocess53.0ms (1%)

Compiler

Compiled 52 to 38 computations (26.9% saved)

Profiling

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