logs (example 3.8)

Time bar (total: 9.2s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%23.7%76.3%0%0%0%0
100%23.7%0%76.3%0%0%0%1
Compiler

Compiled 19 to 14 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-log, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival->, time spent: 0.0ms, 0.0% of total-time

sample3.3s (36.4%)

Results
1.9s4363×1024valid
599.0ms2143×512valid
222.0ms1472×256valid
175.0ms277×2048valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
Operation ival-log, time spent: 1.1s, 54.0% of total-time
Operation ival-mult, time spent: 352.0ms, 17.0% of total-time
Operation ival-add, time spent: 239.0ms, 11.0% of total-time
Operation ival-sub, time spent: 232.0ms, 11.0% of total-time
Operation ival->, time spent: 110.0ms, 5.0% of total-time
Operation const, time spent: 52.0ms, 2.0% of total-time
Bogosity

preprocess696.0ms (7.6%)

Algorithm
1×egg-herbie
Rules
2372×fma-define
940×fma-neg
552×sub-neg
450×associate-+l-
412×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
00-0-(log.f64 (+.f64 n 1))
00-0-(+.f64 n 1)
00-0-(*.f64 n (log.f64 n))
00-0-(log.f64 n)
00-0-(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
00-0-(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
00-0-1
00-0-n
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023256
161208
2161200
3505200
41745196
53243196
64066196
74274196
84290196
94290196
105234196
115236196
125236196
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1)
(neg.f64 (-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1))
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
(-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1)
(+.f64 (+.f64 (*.f64 (+.f64 1 (neg.f64 n)) (log.f64 (+.f64 1 (neg.f64 n)))) (*.f64 n (log.f64 (neg.f64 n)))) -1)
(+.f64 (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))) -1)
(fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (fma.f64 n (log.f64 (neg.f64 n)) -1))
(fma.f64 n (log.f64 (neg.f64 n)) (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) -1))
(neg.f64 (-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1))
(neg.f64 (+.f64 (+.f64 (*.f64 (+.f64 1 (neg.f64 n)) (log.f64 (+.f64 1 (neg.f64 n)))) (*.f64 n (log.f64 (neg.f64 n)))) -1))
(neg.f64 (+.f64 (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))) -1))
(-.f64 1 (fma.f64 n (log.f64 (neg.f64 n)) (*.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)))))
(-.f64 1 (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))))
Results
247.0ms257×1024valid
78.0ms122×512valid
32.0ms110×256valid
33.0ms22×2048valid
1.0ms1×1024valid
Compiler

Compiled 122 to 76 computations (37.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 296.0ms
Operation ival-log, time spent: 171.0ms, 58.0% of total-time
Operation ival-add, time spent: 56.0ms, 19.0% of total-time
Operation ival-mult, time spent: 41.0ms, 14.0% of total-time
Operation ival-sub, time spent: 21.0ms, 7.0% of total-time
Operation const, time spent: 8.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 39 to 23 computations (41% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶3.1%
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
▶3.1%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
▶30.8%
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
Compiler

Compiled 41 to 28 computations (31.7% saved)

localize525.0ms (5.7%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓100.0%
(log1p.f64 n)
✓99.6%
(fma.f64 n (log.f64 n) 1)
✓99.6%
(*.f64 (+.f64 n 1) (log1p.f64 n))
✓3.1%
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
✓99.6%
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
✓99.6%
(*.f64 n (log.f64 n))
✓3.1%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
✓100.0%
(log1p.f64 n)
✓5.5%
(-.f64 (log1p.f64 n) (log.f64 n))
✓4.0%
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
Results
259.0ms123×2048valid
90.0ms63×1024valid
40.0ms44×512valid
10.0ms16×256valid
38.0ms9×4096valid
2.0ms1×2048valid
Compiler

Compiled 108 to 49 computations (54.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 414.0ms
Operation ival-log, time spent: 150.0ms, 36.0% of total-time
Operation composed, time spent: 94.0ms, 23.0% of total-time
Operation ival-add, time spent: 84.0ms, 20.0% of total-time
Operation ival-mult, time spent: 63.0ms, 15.0% of total-time
Operation ival-sub, time spent: 13.0ms, 3.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time

series2.0s (21.6%)

Counts
10 → 174
Calls
Call 1
Inputs
#<alt (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)>
#<alt (-.f64 (log1p.f64 n) (log.f64 n))>
#<alt (log1p.f64 n)>
#<alt (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))>
#<alt (*.f64 n (log.f64 n))>
#<alt (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))>
#<alt (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))>
#<alt (*.f64 (+.f64 n 1) (log1p.f64 n))>
#<alt (fma.f64 n (log.f64 n) 1)>
#<alt (log1p.f64 n)>
Outputs
#<alt -1>
#<alt (-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)>
#<alt (-.f64 (*.f64 n (+.f64 n (*.f64 -1 (log.f64 n)))) 1)>
#<alt (-.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 n (+.f64 1 (*.f64 -1/2 n))))) 1)>
#<alt (-.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 1/3 n) 1/2)))))) 1)>
#<alt (-.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 -1/4 n))) 1/2)))))) 1)>
#<alt (/.f64 -1/2 n)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) 1/2) n)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) (+.f64 1/2 (/.f64 1/4 (pow.f64 n 2)))) n)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/5 (/.f64 1 (pow.f64 n 3)))) (+.f64 1/2 (/.f64 1/4 (pow.f64 n 2)))) n)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/5 (/.f64 1 (pow.f64 n 3)))) (+.f64 1/2 (+.f64 (/.f64 1/6 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 2))))) n)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 3))) (*.f64 1/7 (/.f64 1 (pow.f64 n 5))))) (+.f64 1/2 (+.f64 (/.f64 1/6 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 2))))) n)>
#<alt (/.f64 -1/2 n)>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 n))) n))>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 n))) n))) n))>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 -1 (/.f64 (-.f64 1/4 (*.f64 1/5 (/.f64 1 n))) n))) n))) n))>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 -1 (/.f64 (+.f64 1/4 (*.f64 -1 (/.f64 (-.f64 1/5 (*.f64 1/6 (/.f64 1 n))) n))) n))) n))) n))>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 -1 (/.f64 (+.f64 1/4 (*.f64 -1 (/.f64 (+.f64 1/5 (*.f64 -1 (/.f64 (-.f64 1/6 (*.f64 1/7 (/.f64 1 n))) n))) n))) n))) n))) n))>
#<alt (*.f64 -1 (log.f64 n))>
#<alt (-.f64 n (log.f64 n))>
#<alt (-.f64 (*.f64 n (+.f64 1 (*.f64 -1/2 n))) (log.f64 n))>
#<alt (-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 1/3 n) 1/2)))) (log.f64 n))>
#<alt (-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 -1/4 n))) 1/2)))) (log.f64 n))>
#<alt (-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 n (-.f64 (*.f64 1/5 n) 1/4)))) 1/2)))) (log.f64 n))>
#<alt (/.f64 1 n)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 n))) n)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) n)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 n 2))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3))))) n)>
#<alt (/.f64 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 n 4)) (/.f64 1/3 (pow.f64 n 2)))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3))))) n)>
#<alt (/.f64 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 n 4)) (/.f64 1/3 (pow.f64 n 2)))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/6 (/.f64 1 (pow.f64 n 5)))))) n)>
#<alt (/.f64 1 n)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1) n))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) 1/2) n)) 1) n))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 n)) 1/3) n)) 1/2) n)) 1) n))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 n)) 1/4) n)) 1/3) n)) 1/2) n)) 1) n))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/6 (/.f64 1 n)) 1/5) n)) 1/4) n)) 1/3) n)) 1/2) n)) 1) n))>
#<alt n>
#<alt (*.f64 n (+.f64 1 (*.f64 -1/2 n)))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 1/3 n) 1/2))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 -1/4 n))) 1/2))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 n (-.f64 (*.f64 1/5 n) 1/4)))) 1/2))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 n (-.f64 (*.f64 n (+.f64 1/5 (*.f64 -1/6 n))) 1/4)))) 1/2))))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 n)))>
#<alt (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)) (/.f64 1/2 (pow.f64 n 2)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) (/.f64 1/2 (pow.f64 n 2)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/2 (pow.f64 n 2))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (*.f64 1/5 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/2 (pow.f64 n 2))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (/.f64 1 n)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) 1/2) n)) 1) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 n)) 1/3) n)) 1/2) n)) 1) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 n)) 1/4) n)) 1/3) n)) 1/2) n)) 1) n))))>
#<alt -1>
#<alt (-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)>
#<alt (-.f64 (*.f64 n (-.f64 (+.f64 1 (*.f64 1/2 n)) (log.f64 n))) 1)>
#<alt (-.f64 (*.f64 n (-.f64 (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 -1/6 n)))) (log.f64 n))) 1)>
#<alt (-.f64 (*.f64 n (-.f64 (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 1/12 n) 1/6))))) (log.f64 n))) 1)>
#<alt (-.f64 (*.f64 n (-.f64 (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 n (+.f64 1/12 (*.f64 -1/20 n))) 1/6))))) (log.f64 n))) 1)>
#<alt (*.f64 -1 (log.f64 (/.f64 1 n)))>
#<alt (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n))) (/.f64 1/6 (pow.f64 n 2)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/12 (/.f64 1 (pow.f64 n 3))))) (/.f64 1/6 (pow.f64 n 2)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/12 (/.f64 1 (pow.f64 n 3))))) (+.f64 (/.f64 1/20 (pow.f64 n 4)) (/.f64 1/6 (pow.f64 n 2))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (*.f64 1/30 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (/.f64 1/20 (pow.f64 n 4)) (/.f64 1/6 (pow.f64 n 2))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/6 (/.f64 1 n)) 1/2) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/12 (/.f64 1 n)) 1/6) n)) 1/2) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/20 (/.f64 1 n)) 1/12) n)) 1/6) n)) 1/2) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/30 (/.f64 1 n)) 1/20) n)) 1/12) n)) 1/6) n)) 1/2) n))))>
#<alt (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))>
#<alt (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))>
#<alt (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))>
#<alt (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))>
#<alt (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))>
#<alt (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))>
#<alt (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))>
#<alt (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))>
#<alt (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))>
#<alt (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))>
#<alt (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))>
#<alt (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))>
#<alt n>
#<alt (*.f64 n (+.f64 1 (*.f64 1/2 n)))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 -1/6 n)))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 1/12 n) 1/6))))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 n (+.f64 1/12 (*.f64 -1/20 n))) 1/6))))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 n (+.f64 1/12 (*.f64 n (-.f64 (*.f64 1/30 n) 1/20)))) 1/6))))))>
#<alt (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))>
#<alt (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 n)) n)) (/.f64 1 n))))>
#<alt (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 n)) n)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1 n)))))>
#<alt (*.f64 n (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 n)) n)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))))>
#<alt (*.f64 n (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 n)) n)) (+.f64 (/.f64 1/12 (pow.f64 n 4)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))))>
#<alt (*.f64 n (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 n)) n)) (+.f64 (/.f64 1/12 (pow.f64 n 4)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1 n))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/20 (/.f64 1 (pow.f64 n 5))))))>
#<alt (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))>
#<alt (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) n)))))>
#<alt (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) n)))))>
#<alt (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/6 (/.f64 1 n)) 1/2) n))))) n)))))>
#<alt (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/12 (/.f64 1 n)) 1/6) n)) 1/2) n))))) n)))))>
#<alt (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/20 (/.f64 1 n)) 1/12) n)) 1/6) n)) 1/2) n))))) n)))))>
#<alt -1>
#<alt (-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)>
#<alt (-.f64 (*.f64 n (-.f64 (+.f64 1 (*.f64 1/2 n)) (log.f64 n))) 1)>
#<alt (-.f64 (*.f64 n (-.f64 (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 -1/6 n)))) (log.f64 n))) 1)>
#<alt (-.f64 (*.f64 n (-.f64 (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 1/12 n) 1/6))))) (log.f64 n))) 1)>
#<alt (-.f64 (*.f64 n (-.f64 (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 n (+.f64 1/12 (*.f64 -1/20 n))) 1/6))))) (log.f64 n))) 1)>
#<alt (*.f64 -1 (log.f64 (/.f64 1 n)))>
#<alt (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n))) (/.f64 1/6 (pow.f64 n 2)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/12 (/.f64 1 (pow.f64 n 3))))) (/.f64 1/6 (pow.f64 n 2)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/12 (/.f64 1 (pow.f64 n 3))))) (+.f64 (/.f64 1/20 (pow.f64 n 4)) (/.f64 1/6 (pow.f64 n 2))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (*.f64 1/30 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (/.f64 1/20 (pow.f64 n 4)) (/.f64 1/6 (pow.f64 n 2))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/6 (/.f64 1 n)) 1/2) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/12 (/.f64 1 n)) 1/6) n)) 1/2) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/20 (/.f64 1 n)) 1/12) n)) 1/6) n)) 1/2) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/30 (/.f64 1 n)) 1/20) n)) 1/12) n)) 1/6) n)) 1/2) n))))>
#<alt n>
#<alt (*.f64 n (+.f64 1 (*.f64 1/2 n)))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 -1/6 n)))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 1/12 n) 1/6))))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 n (+.f64 1/12 (*.f64 -1/20 n))) 1/6))))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 n (+.f64 1/12 (*.f64 n (-.f64 (*.f64 1/30 n) 1/20)))) 1/6))))))>
#<alt (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))>
#<alt (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 n)) n)) (/.f64 1 n))))>
#<alt (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 n)) n)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1 n)))))>
#<alt (*.f64 n (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 n)) n)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))))>
#<alt (*.f64 n (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 n)) n)) (+.f64 (/.f64 1/12 (pow.f64 n 4)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))))>
#<alt (*.f64 n (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 n)) n)) (+.f64 (/.f64 1/12 (pow.f64 n 4)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1 n))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/20 (/.f64 1 (pow.f64 n 5))))))>
#<alt (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))>
#<alt (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) n)))))>
#<alt (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) n)))))>
#<alt (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/6 (/.f64 1 n)) 1/2) n))))) n)))))>
#<alt (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/12 (/.f64 1 n)) 1/6) n)) 1/2) n))))) n)))))>
#<alt (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/20 (/.f64 1 n)) 1/12) n)) 1/6) n)) 1/2) n))))) n)))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 n (log.f64 n)))>
#<alt (+.f64 1 (*.f64 n (log.f64 n)))>
#<alt (+.f64 1 (*.f64 n (log.f64 n)))>
#<alt (+.f64 1 (*.f64 n (log.f64 n)))>
#<alt (+.f64 1 (*.f64 n (log.f64 n)))>
#<alt (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))>
#<alt (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)))>
#<alt (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)))>
#<alt (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)))>
#<alt (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)))>
#<alt (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)))>
#<alt (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))>
#<alt (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (/.f64 1 n))))>
#<alt (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (/.f64 1 n))))>
#<alt (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (/.f64 1 n))))>
#<alt (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (/.f64 1 n))))>
#<alt (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (/.f64 1 n))))>
#<alt n>
#<alt (*.f64 n (+.f64 1 (*.f64 -1/2 n)))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 1/3 n) 1/2))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 -1/4 n))) 1/2))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 n (-.f64 (*.f64 1/5 n) 1/4)))) 1/2))))>
#<alt (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 n (-.f64 (*.f64 n (+.f64 1/5 (*.f64 -1/6 n))) 1/4)))) 1/2))))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 n)))>
#<alt (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)) (/.f64 1/2 (pow.f64 n 2)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) (/.f64 1/2 (pow.f64 n 2)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/2 (pow.f64 n 2))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (*.f64 1/5 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/2 (pow.f64 n 2))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (/.f64 1 n)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) 1/2) n)) 1) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 n)) 1/3) n)) 1/2) n)) 1) n))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 n)) 1/4) n)) 1/3) n)) 1/2) n)) 1) n))))>
Calls

30 calls:

TimeVariablePointExpression
1.1s
n
@0
(* n (log n))
588.0ms
n
@-inf
(* n (log n))
248.0ms
n
@inf
(* n (log n))
2.0ms
n
@inf
(+ (* n (- (log (+ 1 n)) (log n))) -1)
1.0ms
n
@-inf
(+ (* n (- (log (+ 1 n)) (log n))) -1)

rewrite444.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
1676×fma-define
879×log1p-expm1-u
879×expm1-log1p-u
836×fma-neg
170×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022245
1337245
23817245
Stop Event
1×node limit
Counts
10 → 464
Calls
Call 1
Inputs
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
(-.f64 (log1p.f64 n) (log.f64 n))
(log1p.f64 n)
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(*.f64 n (log.f64 n))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(*.f64 (+.f64 n 1) (log1p.f64 n))
(fma.f64 n (log.f64 n) 1)
(log1p.f64 n)
Outputs
(+.f64 -1 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))
(+.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1)
(+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 1) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))) 1)
(*.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 1)
(*.f64 1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
(*.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2) (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(*.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(/.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3) -1) (fma.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (-.f64 1 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1))))
(/.f64 (fma.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) 1))
(pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 2))
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(-.f64 (exp.f64 (log1p.f64 (log1p.f64 n))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 n 3))) (log.f64 (-.f64 (fma.f64 n n 1) n)))
(-.f64 (log.f64 (fma.f64 n n -1)) (log.f64 (+.f64 n -1)))
(*.f64 (log1p.f64 n) 1)
(*.f64 1 (log1p.f64 n))
(*.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)))
(pow.f64 (log1p.f64 n) 1)
(pow.f64 (cbrt.f64 (log1p.f64 n)) 3)
(pow.f64 (sqrt.f64 (log1p.f64 n)) 2)
(pow.f64 (pow.f64 (log1p.f64 n) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 n) 2))
(log.f64 (+.f64 n 1))
(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 (log1p.f64 n)) 1))

simplify265.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
952×fma-define
740×+-commutative
622×distribute-lft-in
606×distribute-rgt-in
572×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095636194
1259733309
Stop Event
1×node limit
Counts
638 → 635
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)
(-.f64 (*.f64 n (+.f64 n (*.f64 -1 (log.f64 n)))) 1)
(-.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 n (+.f64 1 (*.f64 -1/2 n))))) 1)
(-.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 1/3 n) 1/2)))))) 1)
(-.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 -1/4 n))) 1/2)))))) 1)
(/.f64 -1/2 n)
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(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) (+.f64 1/2 (/.f64 1/4 (pow.f64 n 2)))) n)
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(*.f64 -1 (log.f64 n))
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n
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-1
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(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
n
(*.f64 n (+.f64 1 (*.f64 1/2 n)))
(*.f64 n (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 -1/6 n)))))
(*.f64 n (+.f64 1 (*.f64 n (+.f64 1/2 (*.f64 n (-.f64 (*.f64 1/12 n) 1/6))))))
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-1
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n
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2)) (cbrt.f64 (fma.f64 n (log.f64 n) 1)) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(+.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(+.f64 (*.f64 (log1p.f64 n) n) (log1p.f64 n))
(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)))) 1)
(/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (-.f64 (fma.f64 n n 1) n))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (+.f64 n -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (-.f64 (fma.f64 n n 1) n))
(/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (+.f64 n -1))
(pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 3)
(pow.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)))))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))))
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))
(fma.f64 n (log1p.f64 n) (log1p.f64 n))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(fma.f64 (log1p.f64 n) 1 (*.f64 (log1p.f64 n) n))
(fma.f64 (log1p.f64 n) 1 (*.f64 n (log1p.f64 n)))
(fma.f64 1 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(fma.f64 1 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (log1p.f64 n) n))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 n (log1p.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(+.f64 1 (*.f64 n (log.f64 n)))
(+.f64 (*.f64 n (log.f64 n)) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 n (log.f64 n) 1))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (fma.f64 n (log.f64 n) -1)) (/.f64 1 (fma.f64 n (log.f64 n) -1)))
(*.f64 1 (fma.f64 n (log.f64 n) 1))
(*.f64 (fma.f64 n (log.f64 n) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (cbrt.f64 (fma.f64 n (log.f64 n) 1)))
(*.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (sqrt.f64 (fma.f64 n (log.f64 n) 1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 n (log.f64 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (-.f64 1 (*.f64 n (log.f64 n))))))
(*.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) -1) (/.f64 1 (fma.f64 n (log.f64 n) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (-.f64 1 (*.f64 n (log.f64 n)))) (+.f64 1 (pow.f64 (*.f64 n (log.f64 n)) 3))))
(/.f64 1 (/.f64 (fma.f64 n (log.f64 n) -1) (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 n (log.f64 n)) 3)) (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (-.f64 1 (*.f64 n (log.f64 n)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 n (log.f64 n)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (*.f64 n (log.f64 n)))))
(/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) -1) (fma.f64 n (log.f64 n) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 n (log.f64 n)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (-.f64 1 (*.f64 n (log.f64 n))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) -1)) (neg.f64 (fma.f64 n (log.f64 n) -1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 n (log.f64 n)) 2)) (-.f64 1 (*.f64 n (log.f64 n))))
(pow.f64 (fma.f64 n (log.f64 n) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1)) 2)
(pow.f64 (pow.f64 (fma.f64 n (log.f64 n) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 n (log.f64 n) 1) 2))
(log.f64 (*.f64 (pow.f64 n n) (exp.f64 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (log.f64 n) 1))))
(cbrt.f64 (pow.f64 (fma.f64 n (log.f64 n) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 n (log.f64 n) 1)))
(log1p.f64 (expm1.f64 (fma.f64 n (log.f64 n) 1)))
(exp.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 n (log.f64 n))) 1))
(+.f64 0 (log1p.f64 n))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (log.f64 (cbrt.f64 (+.f64 n 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 n 1))) (log.f64 (sqrt.f64 (+.f64 n 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 n))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 n 3))) (log.f64 (-.f64 (fma.f64 n n 1) n)))
(-.f64 (log.f64 (fma.f64 n n -1)) (log.f64 (+.f64 n -1)))
(*.f64 (log1p.f64 n) 1)
(*.f64 1 (log1p.f64 n))
(*.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)))
(pow.f64 (log1p.f64 n) 1)
(pow.f64 (cbrt.f64 (log1p.f64 n)) 3)
(pow.f64 (sqrt.f64 (log1p.f64 n)) 2)
(pow.f64 (pow.f64 (log1p.f64 n) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 n) 2))
(log.f64 (+.f64 n 1))
(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 (log1p.f64 n)) 1))
Outputs
-1
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)
(fma.f64 -1 (*.f64 n (log.f64 n)) -1)
(fma.f64 (neg.f64 n) (log.f64 n) -1)
(-.f64 (*.f64 n (+.f64 n (*.f64 -1 (log.f64 n)))) 1)
(fma.f64 n (-.f64 n (log.f64 n)) -1)
(-.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 n (+.f64 1 (*.f64 -1/2 n))))) 1)
(fma.f64 n (-.f64 (*.f64 n (+.f64 1 (*.f64 n -1/2))) (log.f64 n)) -1)
(fma.f64 n (fma.f64 n (fma.f64 n -1/2 1) (neg.f64 (log.f64 n))) -1)
(-.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 1/3 n) 1/2)))))) 1)
(fma.f64 n (-.f64 (*.f64 n (+.f64 1 (*.f64 n (fma.f64 1/3 n -1/2)))) (log.f64 n)) -1)
(fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n 1/3 -1/2) 1) (neg.f64 (log.f64 n))) -1)
(-.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 -1/4 n))) 1/2)))))) 1)
(fma.f64 n (-.f64 (*.f64 n (+.f64 1 (*.f64 n (fma.f64 n (+.f64 1/3 (*.f64 n -1/4)) -1/2)))) (log.f64 n)) -1)
(fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n -1/4 1/3) -1/2) 1) (neg.f64 (log.f64 n))) -1)
(/.f64 -1/2 n)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) 1/2) n)
(/.f64 (+.f64 (/.f64 1/3 n) -1/2) n)
(/.f64 (+.f64 -1/2 (/.f64 1/3 n)) n)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) (+.f64 1/2 (/.f64 1/4 (pow.f64 n 2)))) n)
(/.f64 (-.f64 (/.f64 1/3 n) (+.f64 1/2 (/.f64 1/4 (pow.f64 n 2)))) n)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 n)) n)) n)
(/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/5 (/.f64 1 (pow.f64 n 3)))) (+.f64 1/2 (/.f64 1/4 (pow.f64 n 2)))) n)
(/.f64 (-.f64 (+.f64 (/.f64 1/3 n) (/.f64 1/5 (pow.f64 n 3))) (+.f64 1/2 (/.f64 1/4 (pow.f64 n 2)))) n)
(/.f64 (+.f64 (/.f64 1/5 (pow.f64 n 3)) (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 n)) n))) n)
(/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/5 (/.f64 1 (pow.f64 n 3)))) (+.f64 1/2 (+.f64 (/.f64 1/6 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 2))))) n)
(/.f64 (-.f64 (+.f64 (/.f64 1/3 n) (/.f64 1/5 (pow.f64 n 3))) (+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 n 2)) (/.f64 1/6 (pow.f64 n 4))))) n)
(/.f64 (-.f64 (+.f64 (/.f64 1/5 (pow.f64 n 3)) (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 n)) n))) (/.f64 1/6 (pow.f64 n 4))) n)
(/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 3))) (*.f64 1/7 (/.f64 1 (pow.f64 n 5))))) (+.f64 1/2 (+.f64 (/.f64 1/6 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 2))))) n)
(/.f64 (-.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/5 (pow.f64 n 3)) (/.f64 1/7 (pow.f64 n 5)))) (+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 n 2)) (/.f64 1/6 (pow.f64 n 4))))) n)
(/.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 1/3 n) (/.f64 1/5 (pow.f64 n 3))) (/.f64 1/7 (pow.f64 n 5))) (+.f64 (/.f64 1/4 (pow.f64 n 2)) (/.f64 1/6 (pow.f64 n 4)))) 1/2) n)
(/.f64 -1/2 n)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 n))) n))
(neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/3 n)) n))
(/.f64 (+.f64 1/2 (/.f64 -1/3 n)) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 n))) n))) n))
(neg.f64 (/.f64 (+.f64 1/2 (neg.f64 (/.f64 (-.f64 1/3 (/.f64 1/4 n)) n))) n))
(/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 n)) n)) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 -1 (/.f64 (-.f64 1/4 (*.f64 1/5 (/.f64 1 n))) n))) n))) n))
(neg.f64 (/.f64 (+.f64 1/2 (neg.f64 (/.f64 (+.f64 1/3 (neg.f64 (/.f64 (-.f64 1/4 (/.f64 1/5 n)) n))) n))) n))
(/.f64 (-.f64 1/2 (/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -1/5 n)) n)) n)) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 -1 (/.f64 (+.f64 1/4 (*.f64 -1 (/.f64 (-.f64 1/5 (*.f64 1/6 (/.f64 1 n))) n))) n))) n))) n))
(neg.f64 (/.f64 (+.f64 1/2 (neg.f64 (/.f64 (+.f64 1/3 (neg.f64 (/.f64 (+.f64 1/4 (neg.f64 (/.f64 (-.f64 1/5 (/.f64 1/6 n)) n))) n))) n))) n))
(/.f64 (-.f64 1/2 (/.f64 (-.f64 1/3 (/.f64 (-.f64 1/4 (/.f64 (+.f64 1/5 (/.f64 -1/6 n)) n)) n)) n)) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 -1 (/.f64 (+.f64 1/4 (*.f64 -1 (/.f64 (+.f64 1/5 (*.f64 -1 (/.f64 (-.f64 1/6 (*.f64 1/7 (/.f64 1 n))) n))) n))) n))) n))) n))
(neg.f64 (/.f64 (+.f64 1/2 (neg.f64 (/.f64 (+.f64 1/3 (neg.f64 (/.f64 (+.f64 1/4 (neg.f64 (/.f64 (+.f64 1/5 (neg.f64 (/.f64 (-.f64 1/6 (/.f64 1/7 n)) n))) n))) n))) n))) n))
(/.f64 (-.f64 1/2 (/.f64 (-.f64 1/3 (/.f64 (-.f64 1/4 (/.f64 (-.f64 1/5 (/.f64 (+.f64 1/6 (/.f64 -1/7 n)) n)) n)) n)) n)) (neg.f64 n))
(*.f64 -1 (log.f64 n))
(neg.f64 (log.f64 n))
(-.f64 n (log.f64 n))
(-.f64 (*.f64 n (+.f64 1 (*.f64 -1/2 n))) (log.f64 n))
(-.f64 (*.f64 n (+.f64 1 (*.f64 n -1/2))) (log.f64 n))
(fma.f64 n (fma.f64 n -1/2 1) (neg.f64 (log.f64 n)))
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 1/3 n) 1/2)))) (log.f64 n))
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (fma.f64 1/3 n -1/2)))) (log.f64 n))
(fma.f64 n (fma.f64 n (fma.f64 n 1/3 -1/2) 1) (neg.f64 (log.f64 n)))
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 -1/4 n))) 1/2)))) (log.f64 n))
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (fma.f64 n (+.f64 1/3 (*.f64 n -1/4)) -1/2)))) (log.f64 n))
(fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n -1/4 1/3) -1/2) 1) (neg.f64 (log.f64 n)))
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 n (-.f64 (*.f64 1/5 n) 1/4)))) 1/2)))) (log.f64 n))
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (fma.f64 n (+.f64 1/3 (*.f64 n (fma.f64 1/5 n -1/4))) -1/2)))) (log.f64 n))
(fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n 1/5 -1/4) 1/3) -1/2) 1) (neg.f64 (log.f64 n)))
(/.f64 1 n)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 n))) n)
(/.f64 (-.f64 1 (/.f64 1/2 n)) n)
(/.f64 (+.f64 1 (/.f64 -1/2 n)) n)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) n)
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(sqrt.f64 (pow.f64 (fma.f64 n (log.f64 n) 1) 2))
(fabs.f64 (fma.f64 n (log.f64 n) 1))
(log.f64 (*.f64 (pow.f64 n n) (exp.f64 1)))
(log.f64 (*.f64 (pow.f64 n n) (E.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (log.f64 n) 1))))
(fma.f64 n (log.f64 n) 1)
(cbrt.f64 (pow.f64 (fma.f64 n (log.f64 n) 1) 3))
(fma.f64 n (log.f64 n) 1)
(expm1.f64 (log1p.f64 (fma.f64 n (log.f64 n) 1)))
(log1p.f64 (expm1.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 n (log.f64 n) 1)
(exp.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(fma.f64 n (log.f64 n) 1)
(exp.f64 (*.f64 (log1p.f64 (*.f64 n (log.f64 n))) 1))
(fma.f64 n (log.f64 n) 1)
(+.f64 0 (log1p.f64 n))
(log1p.f64 n)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (log.f64 (cbrt.f64 (+.f64 n 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 n 1))) (log.f64 (sqrt.f64 (+.f64 n 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 n 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 n))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 n)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 n 3))) (log.f64 (-.f64 (fma.f64 n n 1) n)))
(-.f64 (log1p.f64 (pow.f64 n 3)) (log.f64 (-.f64 (fma.f64 n n 1) n)))
(-.f64 (log.f64 (fma.f64 n n -1)) (log.f64 (+.f64 n -1)))
(-.f64 (log.f64 (fma.f64 n n -1)) (log.f64 (+.f64 -1 n)))
(*.f64 (log1p.f64 n) 1)
(log1p.f64 n)
(*.f64 1 (log1p.f64 n))
(log1p.f64 n)
(*.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2))
(log1p.f64 n)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)))
(log1p.f64 n)
(*.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)))
(log1p.f64 n)
(pow.f64 (log1p.f64 n) 1)
(log1p.f64 n)
(pow.f64 (cbrt.f64 (log1p.f64 n)) 3)
(log1p.f64 n)
(pow.f64 (sqrt.f64 (log1p.f64 n)) 2)
(log1p.f64 n)
(pow.f64 (pow.f64 (log1p.f64 n) 3) 1/3)
(log1p.f64 n)
(sqrt.f64 (pow.f64 (log1p.f64 n) 2))
(fabs.f64 (log1p.f64 n))
(log.f64 (+.f64 n 1))
(log1p.f64 n)
(cbrt.f64 (pow.f64 (log1p.f64 n) 3))
(log1p.f64 n)
(expm1.f64 (log1p.f64 (log1p.f64 n)))
(exp.f64 (log.f64 (log1p.f64 n)))
(log1p.f64 n)
(exp.f64 (*.f64 (log.f64 (log1p.f64 n)) 1))
(log1p.f64 n)

eval327.0ms (3.6%)

Compiler

Compiled 18454 to 10629 computations (42.4% saved)

prune314.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New7892791
Fresh000
Picked303
Done000
Total7922794
Accuracy
100.0%
Counts
794 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶30.8%
(+.f64 (log1p.f64 n) -1)
▶100.0%
(+.f64 (log.f64 n) (/.f64 1/2 n))
Compiler

Compiled 12 to 9 computations (25% saved)

localize58.0ms (0.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (log1p.f64 n) -1)
100.0%
(log1p.f64 n)
Results
43.0ms255×256valid
0.0ms1×256valid
Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-log, time spent: 12.0ms, 40.0% of total-time
Operation composed, time spent: 8.0ms, 27.0% of total-time
Operation ival-div, time spent: 4.0ms, 13.0% of total-time
Operation ival-add, time spent: 4.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series3.0ms (0%)

Counts
1 → 18
Calls
Call 1
Inputs
#<alt (+.f64 (log1p.f64 n) -1)>
Outputs
#<alt -1>
#<alt (-.f64 n 1)>
#<alt (-.f64 (*.f64 n (+.f64 1 (*.f64 -1/2 n))) 1)>
#<alt (-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 1/3 n) 1/2)))) 1)>
#<alt (-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 -1/4 n))) 1/2)))) 1)>
#<alt (-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 n (-.f64 (*.f64 1/5 n) 1/4)))) 1/2)))) 1)>
#<alt (-.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) 1)>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)) 1)>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)) (+.f64 1 (/.f64 1/2 (pow.f64 n 2))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) (+.f64 1 (/.f64 1/2 (pow.f64 n 2))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/2 (pow.f64 n 2)))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (*.f64 1/5 (/.f64 1 (pow.f64 n 5)))))) (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/2 (pow.f64 n 2)))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))) 1)>
#<alt (-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (/.f64 1 n))) 1)>
#<alt (-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1) n)))) 1)>
#<alt (-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) 1/2) n)) 1) n)))) 1)>
#<alt (-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 n)) 1/3) n)) 1/2) n)) 1) n)))) 1)>
#<alt (-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 n)) 1/4) n)) 1/3) n)) 1/2) n)) 1) n)))) 1)>
Calls

3 calls:

TimeVariablePointExpression
1.0ms
n
@-inf
(+ (log (+ 1 n)) -1)
1.0ms
n
@inf
(+ (log (+ 1 n)) -1)
0.0ms
n
@0
(+ (log (+ 1 n)) -1)

rewrite67.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
510×unpow-prod-down
349×log1p-expm1-u
349×expm1-log1p-u
333×add-exp-log
319×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
17714
293114
Stop Event
1×node limit
Counts
1 → 63
Calls
Call 1
Inputs
(+.f64 (log1p.f64 n) -1)
Outputs
(-.f64 (log1p.f64 n) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 n) 2) (+.f64 (log1p.f64 n) 1)) (/.f64 1 (+.f64 (log1p.f64 n) 1)))
(*.f64 (+.f64 (log1p.f64 n) -1) 1)
(*.f64 (+.f64 (log1p.f64 n) -1) (log.f64 (E.f64)))
(*.f64 1 (+.f64 (log1p.f64 n) -1))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 2))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 2) (cbrt.f64 (+.f64 (log1p.f64 n) -1)))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 n) -1)) (sqrt.f64 (+.f64 (log1p.f64 n) -1)))
(*.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (/.f64 1 (+.f64 (log1p.f64 n) 1)))
(*.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 1/4) (sqrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) 1) (-.f64 (sqrt.f64 (log1p.f64 n)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (log1p.f64 n) -1))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 n) -1) (cbrt.f64 (+.f64 (log1p.f64 n) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 5/2) 1/3) (pow.f64 (+.f64 (log1p.f64 n) -1) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 n) -1) (cbrt.f64 (+.f64 (log1p.f64 n) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 5/2)) (pow.f64 (+.f64 (log1p.f64 n) -1) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 3/2)) (pow.f64 (+.f64 (log1p.f64 n) -1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 4)) (cbrt.f64 (+.f64 (log1p.f64 n) -1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 5)) (pow.f64 (+.f64 (log1p.f64 n) -1) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))) (+.f64 -1 (pow.f64 (log1p.f64 n) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 n) 1) (+.f64 (pow.f64 (log1p.f64 n) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log1p.f64 n) -1))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (+.f64 (log1p.f64 n) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1)) (neg.f64 (+.f64 (log1p.f64 n) 1)))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 n) 2)) (-.f64 -1 (log1p.f64 n)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 2) (+.f64 -1 (pow.f64 (log1p.f64 n) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 2) (+.f64 (pow.f64 (log1p.f64 n) 2) -1))) (cbrt.f64 (+.f64 (log1p.f64 n) 1)))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) 2)) (sqrt.f64 (pow.f64 (+.f64 (log1p.f64 n) 1) 2)))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) 2)) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))) 2)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) -1))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))) (+.f64 (log1p.f64 n) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (+.f64 -1 (pow.f64 (log1p.f64 n) 3)))) (sqrt.f64 (*.f64 (+.f64 (log1p.f64 n) 1) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (log1p.f64 n) -1) (+.f64 -1 (pow.f64 (log1p.f64 n) 3)))) (hypot.f64 (log1p.f64 n) (sqrt.f64 (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (log1p.f64 n) -1) (+.f64 (pow.f64 (log1p.f64 n) 2) -1))) (sqrt.f64 (+.f64 (log1p.f64 n) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (+.f64 (log1p.f64 n) -1))) (hypot.f64 (log1p.f64 n) (sqrt.f64 (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (+.f64 (log1p.f64 n) -1))) (sqrt.f64 (+.f64 (log1p.f64 n) 1)))
(pow.f64 (+.f64 (log1p.f64 n) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 n) -1)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 (log1p.f64 n) -1)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))) (+.f64 -1 (pow.f64 (log1p.f64 n) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 n) 1) (+.f64 (pow.f64 (log1p.f64 n) 2) -1)) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 n) -1)) 2))) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 n) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 n) -1)))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 n) -1))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 2))
(log.f64 (/.f64 (+.f64 n 1) (E.f64)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 3))
(expm1.f64 (log.f64 (log1p.f64 n)))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 n) -1)))
(exp.f64 (log.f64 (+.f64 (log1p.f64 n) -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (log1p.f64 n) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 n) -1))) 2))
(fma.f64 (log1p.f64 n) 1 -1)
(fma.f64 1 (log1p.f64 n) -1)
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) -1)
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) -1)

simplify106.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1152×fma-define
912×distribute-rgt-in
898×distribute-lft-in
648×associate-+l+
504×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02993733
17453497
220873263
376573259
Stop Event
1×node limit
Counts
81 → 154
Calls
Call 1
Inputs
-1
(-.f64 n 1)
(-.f64 (*.f64 n (+.f64 1 (*.f64 -1/2 n))) 1)
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 1/3 n) 1/2)))) 1)
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 -1/4 n))) 1/2)))) 1)
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 n (-.f64 (*.f64 1/5 n) 1/4)))) 1/2)))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) 1)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)) 1)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)) (+.f64 1 (/.f64 1/2 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) (+.f64 1 (/.f64 1/2 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/2 (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (*.f64 1/5 (/.f64 1 (pow.f64 n 5)))))) (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/2 (pow.f64 n 2)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))) 1)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (/.f64 1 n))) 1)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1) n)))) 1)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) 1/2) n)) 1) n)))) 1)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 n)) 1/3) n)) 1/2) n)) 1) n)))) 1)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 n)) 1/4) n)) 1/3) n)) 1/2) n)) 1) n)))) 1)
(-.f64 (log1p.f64 n) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 n) 2) (+.f64 (log1p.f64 n) 1)) (/.f64 1 (+.f64 (log1p.f64 n) 1)))
(*.f64 (+.f64 (log1p.f64 n) -1) 1)
(*.f64 (+.f64 (log1p.f64 n) -1) (log.f64 (E.f64)))
(*.f64 1 (+.f64 (log1p.f64 n) -1))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 2))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 2) (cbrt.f64 (+.f64 (log1p.f64 n) -1)))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 n) -1)) (sqrt.f64 (+.f64 (log1p.f64 n) -1)))
(*.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (/.f64 1 (+.f64 (log1p.f64 n) 1)))
(*.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 1/4) (sqrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) 1) (-.f64 (sqrt.f64 (log1p.f64 n)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (log1p.f64 n) -1))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 n) -1) (cbrt.f64 (+.f64 (log1p.f64 n) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 5/2) 1/3) (pow.f64 (+.f64 (log1p.f64 n) -1) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 n) -1) (cbrt.f64 (+.f64 (log1p.f64 n) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 5/2)) (pow.f64 (+.f64 (log1p.f64 n) -1) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 3/2)) (pow.f64 (+.f64 (log1p.f64 n) -1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 4)) (cbrt.f64 (+.f64 (log1p.f64 n) -1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 5)) (pow.f64 (+.f64 (log1p.f64 n) -1) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))) (+.f64 -1 (pow.f64 (log1p.f64 n) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 n) 1) (+.f64 (pow.f64 (log1p.f64 n) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log1p.f64 n) -1))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (+.f64 (log1p.f64 n) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1)) (neg.f64 (+.f64 (log1p.f64 n) 1)))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 n) 2)) (-.f64 -1 (log1p.f64 n)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 2) (+.f64 -1 (pow.f64 (log1p.f64 n) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 2) (+.f64 (pow.f64 (log1p.f64 n) 2) -1))) (cbrt.f64 (+.f64 (log1p.f64 n) 1)))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) 2)) (sqrt.f64 (pow.f64 (+.f64 (log1p.f64 n) 1) 2)))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) 2)) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))) 2)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) -1))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))) (+.f64 (log1p.f64 n) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (+.f64 -1 (pow.f64 (log1p.f64 n) 3)))) (sqrt.f64 (*.f64 (+.f64 (log1p.f64 n) 1) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (log1p.f64 n) -1) (+.f64 -1 (pow.f64 (log1p.f64 n) 3)))) (hypot.f64 (log1p.f64 n) (sqrt.f64 (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (log1p.f64 n) -1) (+.f64 (pow.f64 (log1p.f64 n) 2) -1))) (sqrt.f64 (+.f64 (log1p.f64 n) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (+.f64 (log1p.f64 n) -1))) (hypot.f64 (log1p.f64 n) (sqrt.f64 (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (+.f64 (log1p.f64 n) -1))) (sqrt.f64 (+.f64 (log1p.f64 n) 1)))
(pow.f64 (+.f64 (log1p.f64 n) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 n) -1)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 (log1p.f64 n) -1)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))) (+.f64 -1 (pow.f64 (log1p.f64 n) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 n) 1) (+.f64 (pow.f64 (log1p.f64 n) 2) -1)) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 n) -1)) 2))) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 n) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 n) -1)))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 n) -1))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 2))
(log.f64 (/.f64 (+.f64 n 1) (E.f64)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 3))
(expm1.f64 (log.f64 (log1p.f64 n)))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 n) -1)))
(exp.f64 (log.f64 (+.f64 (log1p.f64 n) -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (log1p.f64 n) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 n) -1))) 2))
(fma.f64 (log1p.f64 n) 1 -1)
(fma.f64 1 (log1p.f64 n) -1)
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) -1)
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) -1)
Outputs
-1
(-.f64 n 1)
(+.f64 n -1)
(+.f64 -1 n)
(-.f64 (*.f64 n (+.f64 1 (*.f64 -1/2 n))) 1)
(fma.f64 n (+.f64 1 (*.f64 n -1/2)) -1)
(fma.f64 n (fma.f64 n -1/2 1) -1)
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 1/3 n) 1/2)))) 1)
(fma.f64 n (+.f64 1 (*.f64 n (fma.f64 1/3 n -1/2))) -1)
(fma.f64 n (fma.f64 n (fma.f64 n 1/3 -1/2) 1) -1)
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 -1/4 n))) 1/2)))) 1)
(fma.f64 n (+.f64 1 (*.f64 n (fma.f64 n (+.f64 1/3 (*.f64 n -1/4)) -1/2))) -1)
(fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n -1/4 1/3) -1/2) 1) -1)
(-.f64 (*.f64 n (+.f64 1 (*.f64 n (-.f64 (*.f64 n (+.f64 1/3 (*.f64 n (-.f64 (*.f64 1/5 n) 1/4)))) 1/2)))) 1)
(fma.f64 n (+.f64 1 (*.f64 n (fma.f64 n (+.f64 1/3 (*.f64 n (fma.f64 1/5 n -1/4))) -1/2))) -1)
(fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n 1/5 -1/4) 1/3) -1/2) 1) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) 1)
(fma.f64 -1 (neg.f64 (log.f64 n)) -1)
(+.f64 -1 (log.f64 n))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)) 1)
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (/.f64 1 n)) -1)
(+.f64 -1 (+.f64 (/.f64 1 n) (log.f64 n)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (/.f64 1 n)) (+.f64 1 (/.f64 1/2 (pow.f64 n 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (/.f64 1 n)) (+.f64 1 (/.f64 1/2 (pow.f64 n 2))))
(-.f64 (+.f64 -1 (+.f64 (/.f64 1 n) (log.f64 n))) (/.f64 1/2 (pow.f64 n 2)))
(+.f64 -1 (+.f64 (+.f64 (/.f64 1 n) (log.f64 n)) (/.f64 -1/2 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) (+.f64 1 (/.f64 1/2 (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 (/.f64 1/2 (pow.f64 n 2))))
(+.f64 (log.f64 n) (-.f64 (-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) 1) (/.f64 1/2 (pow.f64 n 2))))
(+.f64 (/.f64 1 n) (+.f64 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 n)) (pow.f64 n 2)) 1) (log.f64 n)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/2 (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 (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 4)))))
(-.f64 (+.f64 (log.f64 n) (-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) 1)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 4))))
(-.f64 (-.f64 (+.f64 (/.f64 1 n) (/.f64 (+.f64 -1/2 (/.f64 1/3 n)) (pow.f64 n 2))) (/.f64 1/4 (pow.f64 n 4))) (-.f64 1 (log.f64 n)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (*.f64 1/5 (/.f64 1 (pow.f64 n 5)))))) (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/2 (pow.f64 n 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 1/5 (pow.f64 n 5))))) (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 4)))))
(+.f64 (log.f64 n) (-.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 1/5 (pow.f64 n 5)))) 1) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 4)))))
(+.f64 (-.f64 (-.f64 (+.f64 (/.f64 1 n) (/.f64 (+.f64 -1/2 (/.f64 1/3 n)) (pow.f64 n 2))) (/.f64 1/4 (pow.f64 n 4))) (-.f64 1 (log.f64 n))) (/.f64 1/5 (pow.f64 n 5)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))) 1)
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 n))) 1))
(+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (/.f64 1 n))) 1)
(+.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (/.f64 1 n))) -1)
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (+.f64 (/.f64 1 n) -1))
(+.f64 -1 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 n)) (/.f64 1 n))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1) n)))) 1)
(+.f64 (log.f64 -1) (-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 n)) (/.f64 (+.f64 (/.f64 1/2 n) -1) n))) 1))
(+.f64 -1 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (/.f64 (+.f64 -1 (/.f64 1/2 n)) n)))
(+.f64 -1 (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (/.f64 (+.f64 1 (/.f64 -1/2 n)) n)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) 1/2) n)) 1) n)))) 1)
(+.f64 (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 n)) (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 n) -1/2) n) -1) n)))) -1)
(+.f64 -1 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 1/3 n)) n) -1) n)))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (-.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 -1/3 n)) n)) n) -1))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 n)) 1/3) n)) 1/2) n)) 1) n)))) 1)
(+.f64 (log.f64 -1) (-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 n)) (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/4 n) -1/3) n) -1/2) n) -1) n))) 1))
(+.f64 -1 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/4 n) -1/3) n) -1/2) n) -1) n)))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (+.f64 (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 n)) n)) n)) n) 1))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 n)) 1/4) n)) 1/3) n)) 1/2) n)) 1) n)))) 1)
(+.f64 (log.f64 -1) (-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 n)) (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/5 n) -1/4) n) -1/3) n) -1/2) n) -1) n))) 1))
(+.f64 -1 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/4 (/.f64 1/5 n)) n) -1/3) n) -1/2) n) -1) n)))
(-.f64 (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))) (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 n)) n)) n)) n)) n))
(-.f64 (log1p.f64 n) 1)
(+.f64 -1 (log1p.f64 n))
(-.f64 (/.f64 (pow.f64 (log1p.f64 n) 2) (+.f64 (log1p.f64 n) 1)) (/.f64 1 (+.f64 (log1p.f64 n) 1)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 n) 2) (+.f64 1 (log1p.f64 n))) (/.f64 1 (+.f64 1 (log1p.f64 n))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 n) 2) (+.f64 1 (log1p.f64 n))) (/.f64 1 (-.f64 -1 (log1p.f64 n))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 2)) (+.f64 1 (log1p.f64 n)))
(*.f64 (+.f64 (log1p.f64 n) -1) 1)
(+.f64 -1 (log1p.f64 n))
(*.f64 (+.f64 (log1p.f64 n) -1) (log.f64 (E.f64)))
(+.f64 -1 (log1p.f64 n))
(*.f64 1 (+.f64 (log1p.f64 n) -1))
(+.f64 -1 (log1p.f64 n))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 2))
(+.f64 -1 (log1p.f64 n))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 4)))
(*.f64 (cbrt.f64 (+.f64 -1 (log1p.f64 n))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log1p.f64 n))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 2) (cbrt.f64 (+.f64 (log1p.f64 n) -1)))
(+.f64 -1 (log1p.f64 n))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 n) -1)) (sqrt.f64 (+.f64 (log1p.f64 n) -1)))
(+.f64 -1 (log1p.f64 n))
(*.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (log1p.f64 n) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 -1 (log1p.f64 n))))))
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(expm1.f64 (log.f64 (log1p.f64 n)))
(+.f64 -1 (log1p.f64 n))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 n) -1)))
(+.f64 -1 (log1p.f64 n))
(exp.f64 (log.f64 (+.f64 (log1p.f64 n) -1)))
(+.f64 -1 (log1p.f64 n))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1))) 3))
(+.f64 -1 (log1p.f64 n))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (log1p.f64 n) -1))) 1/3))
(+.f64 -1 (log1p.f64 n))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 n) -1))) 2))
(+.f64 -1 (log1p.f64 n))
(fma.f64 (log1p.f64 n) 1 -1)
(+.f64 -1 (log1p.f64 n))
(fma.f64 1 (log1p.f64 n) -1)
(+.f64 -1 (log1p.f64 n))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) -1)
(+.f64 -1 (log1p.f64 n))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) -1)
(+.f64 -1 (log1p.f64 n))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) -1)
(+.f64 -1 (log1p.f64 n))

eval93.0ms (1%)

Compiler

Compiled 3738 to 2783 computations (25.5% saved)

prune32.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2302232
Fresh000
Picked022
Done000
Total2304234
Accuracy
100.0%
Counts
234 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.2%
(-.f64 n 1)
✓30.8%
(+.f64 (log1p.f64 n) -1)
✓100.0%
(+.f64 (log.f64 n) (/.f64 1/2 n))
▶1.6%
-1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize25.0ms (0.3%)

Results
16.0ms255×256valid
0.0ms1×256valid
Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-sub, time spent: 2.0ms, 79.0% of total-time
Operation const, time spent: 1.0ms, 40.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓5.2%
(-.f64 n 1)
✓30.8%
(+.f64 (log1p.f64 n) -1)
✓100.0%
(+.f64 (log.f64 n) (/.f64 1/2 n))
✓1.6%
-1
Compiler

Compiled 86 to 54 computations (37.2% saved)

regimes14.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
-1
(-.f64 n 1)
(+.f64 (log1p.f64 n) -1)
(+.f64 (log.f64 n) (/.f64 1/2 n))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
Outputs
(+.f64 (log.f64 n) (/.f64 1/2 n))
Calls

3 calls:

6.0ms
n
5.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
2.0ms
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
Results
AccuracySegmentsBranch
100.0%1n
100.0%1(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
100.0%1(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
-1
(-.f64 n 1)
(+.f64 (log1p.f64 n) -1)
Outputs
(+.f64 (log1p.f64 n) -1)
Calls

1 calls:

4.0ms
n
Results
AccuracySegmentsBranch
30.8%1n
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
(-.f64 n 1)
Outputs
(-.f64 n 1)
Calls

1 calls:

9.0ms
n
Results
AccuracySegmentsBranch
5.2%1n
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
1.6%1n
Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
4×sub-neg
3×1-exp
2×*-rgt-identity
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01548
12448
22748
33248
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (log.f64 n) (/.f64 1/2 n))
(+.f64 (log1p.f64 n) -1)
(-.f64 n 1)
-1
Outputs
(+.f64 (log.f64 n) (/.f64 1/2 n))
(+.f64 (log1p.f64 n) -1)
(-.f64 n 1)
(+.f64 n -1)
-1
Compiler

Compiled 18 to 14 computations (22.2% saved)

soundness816.0ms (8.9%)

Rules
2372×fma-define
952×fma-define
940×fma-neg
740×+-commutative
622×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023256
161208
2161200
3505200
41745196
53243196
64066196
74274196
84290196
94290196
105234196
115236196
125236196
095636194
1259733309
Stop Event
1×node limit
1×saturated
Compiler

Compiled 325 to 193 computations (40.6% saved)

end0.0ms (0%)

preprocess55.0ms (0.6%)

Compiler

Compiled 112 to 86 computations (23.2% saved)

Profiling

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