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 const, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation ival-log, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival->, time spent: 0.0ms, 0.0% of total-time

sample4.7s (51.1%)

Results
2.5s4333×1024valid
914.0ms2202×512valid
268.0ms1419×256valid
250.0ms301×2048valid
0.0ms1×512valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
Operation ival-log, time spent: 1.4s, 53.0% of total-time
Operation ival-mult, time spent: 448.0ms, 17.0% of total-time
Operation ival-add, time spent: 332.0ms, 13.0% of total-time
Operation ival-sub, time spent: 295.0ms, 11.0% of total-time
Operation ival->, time spent: 110.0ms, 4.0% of total-time
Operation const, time spent: 50.0ms, 2.0% of total-time
Bogosity

preprocess970.0ms (10.5%)

Algorithm
1×egg-herbie
Rules
2386×associate--l+
1216×sub-neg
1060×unsub-neg
966×fma-neg
808×distribute-neg-in
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
2163200
3523200
42076196
54562196
65650196
76508196
86954196
97137196
107152196
117155196
127155196
137158196
147212196
157212196
Stop Event
1×node limit
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))
(+.f64 (neg.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)))))
Compiler

Compiled 122 to 76 computations (37.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 450.0ms
Operation ival-log, time spent: 248.0ms, 55.0% of total-time
Operation ival-add, time spent: 107.0ms, 24.0% of total-time
Operation ival-mult, time spent: 58.0ms, 13.0% of total-time
Operation ival-sub, time spent: 29.0ms, 6.0% of total-time
Operation const, time spent: 8.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 39 to 23 computations (41% saved)

prune5.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶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 28 to 19 computations (32.1% saved)

localize896.0ms (9.7%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓99.5%
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
✓99.5%
(*.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)
✓5.4%
(-.f64 (log1p.f64 n) (log.f64 n))
✓4.2%
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
Compiler

Compiled 76 to 35 computations (53.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 758.0ms
Operation ival-log1p, time spent: 370.0ms, 49.0% of total-time
Operation ival-mult, time spent: 180.0ms, 24.0% of total-time
Operation ival-log, time spent: 130.0ms, 17.0% of total-time
Operation ival-add, time spent: 39.0ms, 5.0% of total-time
Operation ival-fma, time spent: 23.0ms, 3.0% of total-time
Operation ival-sub, time spent: 9.0ms, 1.0% of total-time
Operation const, time spent: 6.0ms, 1.0% of total-time

series63.0ms (0.7%)

Counts
6 → 68
Calls

18 calls:

TimeVariablePointExpression
39.0ms
n
@0
(*.f64 n (log.f64 n))
12.0ms
n
@-inf
(*.f64 n (log.f64 n))
6.0ms
n
@inf
(*.f64 n (log.f64 n))
1.0ms
n
@inf
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
1.0ms
n
@-inf
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)

rewrite286.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
1898×fma-def
878×log1p-expm1-u
878×expm1-log1p-u
432×log1p-udef
430×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019148
1275148
23721148
Stop Event
1×node limit
Counts
6 → 270
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)))
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 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) 1) (-.f64 (*.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))
(log.f64 (exp.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))))
(cbrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(exp.f64 (log.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(+.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)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))
(+.f64 (neg.f64 (log.f64 n)) (log1p.f64 n))
(*.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1)
(*.f64 1 (-.f64 (log1p.f64 n) (log.f64 n)))
(*.f64 (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 (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) 2) (pow.f64 (log.f64 n) 2)) (/.f64 1 (+.f64 (log1p.f64 n) (log.f64 n))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))) (-.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))))
(/.f64 1 (/.f64 (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 (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))) (*.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n)))) (-.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)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2)
(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)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 n 1) n) 1))
(fma.f64 (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 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))
(fma.f64 -1 (log.f64 n) (log1p.f64 n))
(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)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))
(fma.f64 1 (neg.f64 (log.f64 n)) (log1p.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 (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) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.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))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.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))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2) (*.f64 (cbrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2) (*.f64 (cbrt.f64 (+.f64 n 1)) (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2) (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2) (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (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 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (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 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (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 (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 n)) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 n)) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1)) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1)) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))) (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 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1)) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))) (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 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (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 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (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 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (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 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)))) (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (fma.f64 (sqrt.f64 (log1p.f64 n)) (hypot.f64 1 (sqrt.f64 n)) (sqrt.f64 (*.f64 n (log.f64 n)))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.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 (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) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (*.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 (fma.f64 n (log.f64 n) 1) 1)
(pow.f64 (*.f64 n (log.f64 n)) 1)
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))
(log.f64 (pow.f64 n n))
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 n (log.f64 n))) 1))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))
(log1p.f64 (-.f64 (pow.f64 n n) 1))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(+.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(+.f64 (*.f64 (log1p.f64 n) 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))))
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 n) (+.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 n (log1p.f64 n)))
(fma.f64 (log1p.f64 n) 1 (*.f64 (log1p.f64 n) n))
(fma.f64 1 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(fma.f64 1 (log1p.f64 n) (*.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 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.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 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.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)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))

simplify266.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
788×fma-def
598×log-prod
552×associate-*l*
526×associate-*r*
448×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060817143
1153015673
2582415673
Stop Event
1×node limit
Counts
338 → 461
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (pow.f64 n 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (pow.f64 n 2))) 1)
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.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)))))
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))))
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(fma.f64 (hypot.f64 1 (sqrt.f64 n)) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1)) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1)) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))) (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 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1)) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))) (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 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (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 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (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 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (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 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)))) (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (fma.f64 (sqrt.f64 (log1p.f64 n)) (hypot.f64 1 (sqrt.f64 n)) (sqrt.f64 (*.f64 n (log.f64 n)))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.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 (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) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (*.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 (fma.f64 n (log.f64 n) 1) 1)
(pow.f64 (*.f64 n (log.f64 n)) 1)
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))
(log.f64 (pow.f64 n n))
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 n (log.f64 n))) 1))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))
(log1p.f64 (-.f64 (pow.f64 n n) 1))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(+.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(+.f64 (*.f64 (log1p.f64 n) 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))))
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 n) (+.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 n (log1p.f64 n)))
(fma.f64 (log1p.f64 n) 1 (*.f64 (log1p.f64 n) n))
(fma.f64 1 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(fma.f64 1 (log1p.f64 n) (*.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 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.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 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.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)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
Outputs
-1
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)
(fma.f64 -1 (*.f64 n (log.f64 n)) -1)
(neg.f64 (fma.f64 n (log.f64 n) 1))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (pow.f64 n 2)) 1)
(+.f64 (fma.f64 -1 (*.f64 n (log.f64 n)) (pow.f64 n 2)) -1)
(fma.f64 (neg.f64 n) (log.f64 n) (fma.f64 n n -1))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (pow.f64 n 2))) 1)
(+.f64 (fma.f64 -1 (*.f64 n (log.f64 n)) (fma.f64 -1/2 (pow.f64 n 3) (pow.f64 n 2))) -1)
(+.f64 (fma.f64 -1/2 (pow.f64 n 3) (pow.f64 n 2)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/2 n))
(+.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 -1/2 n))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (/.f64 1/3 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/5 (pow.f64 n 4))) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n)) (/.f64 1/5 (pow.f64 n 4)))
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/2 n))
(+.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 -1/2 n))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (/.f64 1/3 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/5 (pow.f64 n 4))) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n)) (/.f64 1/5 (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 (pow.f64 n 2) -1/2)))
(+.f64 (fma.f64 (pow.f64 n 2) -1/2 n) (neg.f64 (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 (pow.f64 n 3) 1/3))))
(+.f64 (fma.f64 (pow.f64 n 3) 1/3 (*.f64 (pow.f64 n 2) -1/2)) (-.f64 n (log.f64 n)))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1 n) (/.f64 1/2 (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 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 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 1/3 (pow.f64 n 3)) (-.f64 (+.f64 (/.f64 1 n) (/.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 (/.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 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 1/3 (pow.f64 n 3)) (-.f64 (+.f64 (/.f64 1 n) (/.f64 -1/2 (pow.f64 n 2))) (/.f64 1/4 (pow.f64 n 4))))
n
(+.f64 n (*.f64 -1/2 (pow.f64 n 2)))
(+.f64 n (*.f64 (pow.f64 n 2) -1/2))
(fma.f64 (pow.f64 n 2) -1/2 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 (pow.f64 n 3) 1/3)))
(+.f64 n (fma.f64 (pow.f64 n 3) 1/3 (*.f64 (pow.f64 n 2) -1/2)))
(+.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 (pow.f64 n 3) 1/3))))
(+.f64 (fma.f64 (pow.f64 n 2) -1/2 n) (fma.f64 (pow.f64 n 3) 1/3 (*.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))
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(-.f64 (*.f64 (log1p.f64 n) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (hypot.f64 1 (sqrt.f64 n)))) (fma.f64 n (log.f64 n) 1))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (hypot.f64 1 (sqrt.f64 n)) (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(-.f64 (*.f64 (log1p.f64 n) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (hypot.f64 1 (sqrt.f64 n)))) (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)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (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))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 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)))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (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 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(-.f64 (fma.f64 n (log.f64 n) 1) 1)
(+.f64 (fma.f64 n (log.f64 n) 1) -1)
(+.f64 (*.f64 n (log.f64 n)) 0)
(pow.f64 (*.f64 n (log.f64 n)) 1)
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))
(log1p.f64 (+.f64 (pow.f64 n n) -1))
(log1p.f64 (+.f64 -1 (pow.f64 n n)))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 n (log.f64 n))) 1))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))
(neg.f64 (*.f64 n (neg.f64 (log.f64 n))))
(*.f64 n (log.f64 n))
(log1p.f64 (-.f64 (pow.f64 n n) 1))
(log1p.f64 (+.f64 (pow.f64 n n) -1))
(log1p.f64 (+.f64 -1 (pow.f64 n n)))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(+.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(+.f64 (*.f64 (log1p.f64 n) n) (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)))) 1)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (-.f64 (fma.f64 n n 1) n))
(*.f64 (/.f64 (log1p.f64 n) (-.f64 (fma.f64 n n 1) n)) (+.f64 1 (pow.f64 n 3)))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (+.f64 n -1))
(/.f64 (fma.f64 n n -1) (/.f64 (+.f64 -1 n) (log1p.f64 n)))
(*.f64 (/.f64 (log1p.f64 n) (+.f64 -1 n)) (fma.f64 n n -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (-.f64 (fma.f64 n n 1) n))
(/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (-.f64 (fma.f64 n n 1) n))
(*.f64 (/.f64 (log1p.f64 n) (-.f64 (fma.f64 n n 1) n)) (+.f64 1 (pow.f64 n 3)))
(/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (+.f64 n -1))
(/.f64 (fma.f64 n n -1) (/.f64 (+.f64 -1 n) (log1p.f64 n)))
(*.f64 (/.f64 (log1p.f64 n) (+.f64 -1 n)) (fma.f64 n n -1))
(pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 1)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 3)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(pow.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) 1/3)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 n (log1p.f64 n) (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (log1p.f64 n) 1 (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (log1p.f64 n) 1 (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 1 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 1 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))

eval224.0ms (2.4%)

Compiler

Compiled 11315 to 6019 computations (46.8% saved)

prune86.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New5192521
Fresh000
Picked202
Done000
Total5212523
Accuracy
100.0%
Counts
523 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶30.9%
(+.f64 (log1p.f64 n) -1)
▶100.0%
(+.f64 (log.f64 n) (/.f64 1/2 n))
Compiler

Compiled 12 to 9 computations (25% saved)

localize63.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 n)
Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
Operation ival-log1p, time spent: 13.0ms, 48.0% of total-time
Operation ival-log, time spent: 6.0ms, 22.0% of total-time
Operation ival-div, time spent: 4.0ms, 15.0% of total-time
Operation ival-add, time spent: 3.0ms, 11.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

eval17.0ms (0.2%)

Compiler

Compiled 744 to 578 computations (22.3% saved)

prune8.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh000
Picked112
Done000
Total59362
Accuracy
100.0%
Counts
62 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (log.f64 n) (/.f64 1/2 n))
▶30.9%
(+.f64 (log.f64 n) -1)
▶5.1%
(+.f64 n -1)
Compiler

Compiled 16 to 12 computations (25% saved)

localize35.0ms (0.4%)

Compiler

Compiled 15 to 9 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-log, time spent: 6.0ms, 50.0% of total-time
Operation ival-add, time spent: 5.0ms, 41.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done011
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (log.f64 n) (/.f64 1/2 n))
✓30.9%
(+.f64 (log.f64 n) -1)
✓5.1%
(+.f64 n -1)
Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes49.0ms (0.5%)

Counts
7 → 1
Calls
Call 1
Inputs
(+.f64 n -1)
(+.f64 (log.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 (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:

41.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
5.0ms
n
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
(+.f64 n -1)
(+.f64 (log.f64 n) -1)
(+.f64 (log1p.f64 n) -1)
Outputs
(+.f64 (log.f64 n) -1)
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
30.9%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
(+.f64 n -1)
Outputs
(+.f64 n -1)
Calls

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
5.1%1n
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
6×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01347
11647
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (log.f64 n) (/.f64 1/2 n))
(+.f64 (log.f64 n) -1)
(+.f64 n -1)
Outputs
(+.f64 (log.f64 n) (/.f64 1/2 n))
(+.f64 (log.f64 n) -1)
(+.f64 n -1)
Compiler

Compiled 16 to 12 computations (25% saved)

soundness1.5s (16%)

Rules
2386×associate--l+
2386×associate--l+
1216×sub-neg
1216×sub-neg
1060×unsub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023256
161208
2163200
3523200
42076196
54562196
65650196
76508196
86954196
97137196
107152196
117155196
127155196
137158196
147212196
157212196
060817143
1153015673
2582415673
023256
161208
2163200
3523200
42076196
54562196
65650196
76508196
86954196
97137196
107152196
117155196
127155196
137158196
147212196
157212196
060817143
1153015673
2582415673
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 282 to 176 computations (37.6% saved)

end0.0ms (0%)

preprocess58.0ms (0.6%)

Compiler

Compiled 110 to 82 computations (25.5% saved)

Profiling

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