logs (example 3.8)

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
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 12 computations (36.8% saved)

sample3.8s (67.5%)

Memory
4.2MiB live, 2 655.1MiB allocated; 1.4s collecting garbage
Samples
3.4s8 256×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-log: 1.2s (40.4% of total)
ival-log1p: 640.0ms (22% of total)
adjust: 422.0ms (14.5% of total)
ival-sub: 283.0ms (9.7% of total)
ival-mult: 228.0ms (7.8% of total)
ival-add: 100.0ms (3.4% of total)
ival->: 47.0ms (1.6% of total)
exact: 11.0ms (0.4% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain321.0ms (5.6%)

Memory
26.0MiB live, 314.0MiB allocated; 26ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
00-0-n
00-0-(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 n #s(literal 1 binary64))
00-0-(log.f64 n)
00-0-(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
00-0-(*.f64 n (log.f64 n))
00-0-(log.f64 (+.f64 n #s(literal 1 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))cancellation2540
-.f64(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))nan-rescue20
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))overflow2
(*.f64 n (log.f64 n))overflow2
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
179.0ms512×1valid
Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-log1p: 62.0ms (39.7% of total)
ival-log: 42.0ms (26.9% of total)
adjust: 22.0ms (14.1% of total)
ival-mult: 14.0ms (9% of total)
ival-sub: 9.0ms (5.8% of total)
ival-add: 6.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess216.0ms (3.8%)

Memory
-12.9MiB live, 125.5MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
12437
25237
317735
454834
5218832
6639132
0915
01615
12615
24915
318515
454715
5210715
6781315
0812311
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) n (-.f64 (log1p.f64 n) #s(literal 1 binary64)))
Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.5%
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify126.0ms (2.2%)

Memory
12.1MiB live, 104.0MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
cost-diff0
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
cost-diff2
(log.f64 (+.f64 n #s(literal 1 binary64)))
cost-diff2
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
01651
12651
24951
318551
454751
5210751
6781351
0812339
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(+.f64 n #s(literal 1 binary64))
n
#s(literal 1 binary64)
(log.f64 (+.f64 n #s(literal 1 binary64)))
(*.f64 n (log.f64 n))
(log.f64 n)
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) n (-.f64 (log1p.f64 n) #s(literal 1 binary64)))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) n (log1p.f64 n))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(+.f64 n #s(literal 1 binary64))
(-.f64 n #s(literal -1 binary64))
n
#s(literal 1 binary64)
(log.f64 (+.f64 n #s(literal 1 binary64)))
(log1p.f64 n)
(*.f64 n (log.f64 n))
(*.f64 (log.f64 n) n)
(log.f64 n)

localize190.0ms (3.3%)

Memory
-28.5MiB live, 207.8MiB allocated; 64ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
accuracy0.3125
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
accuracy0.3125
(*.f64 n (log.f64 n))
accuracy62.00987132182244
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
Samples
135.0ms256×1valid
Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-log: 53.0ms (51.3% of total)
ival-log1p: 19.0ms (18.4% of total)
adjust: 11.0ms (10.6% of total)
ival-mult: 11.0ms (10.6% of total)
ival-sub: 5.0ms (4.8% of total)
ival-add: 3.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series80.0ms (1.4%)

Memory
16.9MiB live, 63.0MiB allocated; 7ms collecting garbage
Counts
5 → 51
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
(log.f64 (+.f64 n #s(literal 1 binary64)))
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(*.f64 n (log.f64 n))
Outputs
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- 1 (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* 1/2 n)) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))))
#s(approx (log (+ n 1)) #s(hole binary64 n))
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* -1/2 n)))))
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* 1/3 n) 1/2))))))
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 n))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* 1/2 n)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))))
#s(approx (* n (log n)) #s(hole binary64 (* n (log n))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (* -1 (log (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))))
#s(approx (log (+ n 1)) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (/ 1 n))))
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))))
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (log (/ 1 n))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3)))))))
#s(approx (* n (log n)) #s(hole binary64 (* -1 (* n (log (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))) n)))))))
#s(approx (* n (log n)) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n)))))))
Calls

3 calls:

TimeVariablePointExpression
35.0ms
n
@0
((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* (+ n 1) (log (+ n 1))) (* n (log n)))
31.0ms
n
@inf
((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* (+ n 1) (log (+ n 1))) (* n (log n)))
12.0ms
n
@-inf
((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify167.0ms (2.9%)

Memory
-13.4MiB live, 127.1MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02101221
15791147
219551115
08362978
Stop Event
iter limit
node limit
Counts
51 → 51
Calls
Call 1
Inputs
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- 1 (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* 1/2 n)) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))))
#s(approx (log (+ n 1)) #s(hole binary64 n))
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* -1/2 n)))))
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* 1/3 n) 1/2))))))
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 n))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* 1/2 n)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))))
#s(approx (* n (log n)) #s(hole binary64 (* n (log n))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (* -1 (log (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))))
#s(approx (log (+ n 1)) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (/ 1 n))))
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))))
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (log (/ 1 n))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3)))))))
#s(approx (* n (log n)) #s(hole binary64 (* -1 (* n (log (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))) n)))))))
#s(approx (* n (log n)) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n)))))))
Outputs
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- 1 (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* 1/2 n)) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 n (*.f64 (fma.f64 #s(literal -1/2 binary64) n (log.f64 n)) n)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 n (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n (log.f64 n)) n)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) n #s(literal -1/6 binary64)) n #s(literal 1/2 binary64)) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n))
#s(approx (log (+ n 1)) #s(hole binary64 n))
#s(approx (log (+ n 1)) n)
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* -1/2 n)))))
#s(approx (log (+ n 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1 binary64)) n))
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* 1/3 n) 1/2))))))
#s(approx (log (+ n 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) n #s(literal -1/2 binary64)) n #s(literal 1 binary64)) n))
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))))
#s(approx (log (+ n 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) n #s(literal 1/3 binary64)) n #s(literal -1/2 binary64)) n #s(literal 1 binary64)) n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n #s(literal -1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n #s(literal -1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n #s(literal -1 binary64)))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 n))
#s(approx (* (+ n 1) (log (+ n 1))) n)
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* 1/2 n)))))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) n))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) n))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) n #s(literal -1/6 binary64)) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) n))
#s(approx (* n (log n)) #s(hole binary64 (* n (log n))))
#s(approx (* n (log n)) (*.f64 (log.f64 n) n))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (* -1 (log (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (log.f64 n) #s(literal -1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (log.f64 n) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) #s(literal -1 binary64)) (log.f64 n)))
#s(approx (log (+ n 1)) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (log (+ n 1)) (log.f64 n))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (/ 1 n))))
#s(approx (log (+ n 1)) (+.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n)))
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))))
#s(approx (log (+ n 1)) (-.f64 (+.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n)))
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))))
#s(approx (log (+ n 1)) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) n) (+.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) (log.f64 n)))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (log (/ 1 n))))))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (log.f64 n) n))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n))))))
#s(approx (* (+ n 1) (log (+ n 1))) (fma.f64 (+.f64 (/.f64 (log.f64 n) n) (log.f64 n)) n #s(literal 1 binary64)))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) (fma.f64 (+.f64 (/.f64 (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)) n) (log.f64 n)) n #s(literal 1 binary64)))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3)))))))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)) n) (log.f64 n)) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) n))
#s(approx (* n (log n)) #s(hole binary64 (* -1 (* n (log (/ 1 n))))))
#s(approx (* n (log n)) (*.f64 (log.f64 n) n))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (log (+ n 1)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))))
#s(approx (log (+ n 1)) (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))))
#s(approx (log (+ n 1)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) n)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))))
#s(approx (log (+ n 1)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1 binary64) #s(literal -1 binary64)) n)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)))))
#s(approx (* n (log n)) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (* n (log n)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n))

rewrite47.0ms (0.8%)

Memory
26.9MiB live, 72.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
01644
16642
054935
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 61
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
(log.f64 (+.f64 n #s(literal 1 binary64)))
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(*.f64 n (log.f64 n))
Outputs
(*.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 n) (log.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 n) (log.f64 n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64))) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))))
(fma.f64 (log.f64 n) (neg.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))))
(fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 n)) n))
(fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (*.f64 (neg.f64 n) (log.f64 n)))
(fma.f64 (-.f64 n #s(literal -1 binary64)) (log1p.f64 n) (*.f64 (neg.f64 (log.f64 n)) n))
(fma.f64 (-.f64 n #s(literal -1 binary64)) (log1p.f64 n) (*.f64 (neg.f64 n) (log.f64 n)))
(-.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 n)) (log.f64 n)))
(-.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n))
(+.f64 (*.f64 (neg.f64 n) (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))))
(+.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 (log.f64 n)) n))
(+.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 n) (log.f64 n)))
(log.f64 (/.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64))) (pow.f64 n n)))
(log1p.f64 n)
(-.f64 (log.f64 (fma.f64 n n #s(literal -1 binary64))) (log.f64 (-.f64 n #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 n #s(literal 3 binary64))) (log.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(log.f64 (-.f64 n #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))) (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (log.f64 n) n #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (fma.f64 (log.f64 n) n #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (-.f64 (*.f64 (neg.f64 n) (log.f64 n)) #s(literal 1 binary64)))
(fma.f64 (-.f64 n #s(literal -1 binary64)) (log1p.f64 n) (-.f64 (*.f64 (neg.f64 n) (log.f64 n)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))
(+.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))
(+.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (-.f64 (*.f64 (neg.f64 n) (log.f64 n)) #s(literal 1 binary64)))
(*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))
(*.f64 (-.f64 n #s(literal -1 binary64)) (log1p.f64 n))
(/.f64 (*.f64 (fma.f64 n n #s(literal -1 binary64)) (log1p.f64 n)) (-.f64 n #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1 binary64)) (log1p.f64 n)) (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (-.f64 n #s(literal 1 binary64)))
(/.f64 (*.f64 (log1p.f64 n) (-.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (*.f64 (log1p.f64 n) n))
(fma.f64 (log1p.f64 n) n (*.f64 (log1p.f64 n) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(fma.f64 n (log1p.f64 n) (*.f64 #s(literal 1 binary64) (log1p.f64 n)))
(+.f64 (*.f64 #s(literal 1 binary64) (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(+.f64 (*.f64 n (log1p.f64 n)) (*.f64 #s(literal 1 binary64) (log1p.f64 n)))
(+.f64 (*.f64 (log1p.f64 n) #s(literal 1 binary64)) (*.f64 (log1p.f64 n) n))
(+.f64 (*.f64 (log1p.f64 n) n) (*.f64 (log1p.f64 n) #s(literal 1 binary64)))
(log.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64))))
(*.f64 (log.f64 n) n)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))

eval16.0ms (0.3%)

Memory
-17.9MiB live, 27.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 700 to 460 computations (83% saved)

prune2.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1092111
Fresh000
Picked101
Done000
Total1102112
Accuracy
100.0%
Counts
112 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
1.6%
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify135.0ms (2.4%)

Memory
23.1MiB live, 171.0MiB allocated; 12ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 n)
cost-diff0
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
cost-diff0
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
01439
12439
24739
318139
454339
5207439
6777839
0808831
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(log.f64 n)
n
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(log.f64 n)
n

localize94.0ms (1.7%)

Memory
-26.7MiB live, 116.1MiB allocated; 11ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 n)
accuracy0.0
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
accuracy63.00433305322539
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Samples
76.0ms256×1valid
Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-log: 19.0ms (28.6% of total)
ival-log1p: 19.0ms (28.6% of total)
adjust: 14.0ms (21.1% of total)
ival-mult: 7.0ms (10.5% of total)
ival-sub: 4.0ms (6% of total)
ival-add: 3.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory
-6.2MiB live, 39.4MiB allocated; 7ms collecting garbage
Counts
3 → 15
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(log.f64 n)
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)))
#s(approx (log n) #s(hole binary64 (log n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
n
@-inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n))
7.0ms
n
@inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n))
6.0ms
n
@0
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n))

simplify198.0ms (3.5%)

Memory
13.7MiB live, 157.8MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082355
1196340
2539336
31852333
46283333
08177279
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)))
#s(approx (log n) #s(hole binary64 (log n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n #s(literal -1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n #s(literal -1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n #s(literal -1 binary64)))
#s(approx (log n) #s(hole binary64 (log n)))
#s(approx (log n) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) (log.f64 n)))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (log n) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (log n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))

rewrite40.0ms (0.7%)

Memory
-1.4MiB live, 44.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
01437
16435
054631
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(log.f64 n)
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(log.f64 n)

eval1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 372 to 59 computations (84.1% saved)

prune2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New15015
Fresh000
Picked022
Done000
Total15217
Accuracy
100.0%
Counts
17 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
1.6%
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Compiler

Compiled 85 to 42 computations (50.6% saved)

regimes4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
Calls

3 calls:

2.0ms
n
1.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
100.0%1(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
100.0%1n
Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes3.0ms (0.1%)

Memory
7.4MiB live, 7.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Calls

3 calls:

1.0ms
n
1.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
Results
AccuracySegmentsBranch
1.6%1(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
1.6%1(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
1.6%1n
Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify37.0ms (0.7%)

Memory
-6.5MiB live, 39.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
12335
24635
318435
464635
5358735
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

derivations95.0ms (1.7%)

Memory
19.3MiB live, 62.2MiB allocated; 14ms collecting garbage
Stop Event
done
Compiler

Compiled 35 to 13 computations (62.9% saved)

preprocess53.0ms (0.9%)

Memory
-18.1MiB live, 32.9MiB allocated; 22ms collecting garbage
Compiler

Compiled 148 to 78 computations (47.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...