logs (example 3.8)

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample3.1s (80%)

Memory
-5.6MiB live, 3 532.8MiB allocated; 622ms collecting garbage
Samples
2.8s8 256×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-log1p: 833.0ms (33.7% of total)
ival-log: 703.0ms (28.5% of total)
adjust: 465.0ms (18.8% of total)
ival-mult!: 260.0ms (10.5% of total)
ival-sub!: 131.0ms (5.3% of total)
ival-add!: 78.0ms (3.2% of total)
Bogosity

explain252.0ms (6.5%)

Memory
22.3MiB live, 310.4MiB allocated; 18ms 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
165.0ms512×1valid
Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-log: 68.0ms (48% of total)
ival-log1p: 37.0ms (26.1% of total)
adjust: 16.0ms (11.3% of total)
ival-mult!: 10.0ms (7.1% of total)
ival-sub!: 8.0ms (5.7% of total)
ival-add!: 3.0ms (2.1% of total)

preprocess43.0ms (1.1%)

Memory
-27.1MiB live, 19.7MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01852
13852
28552
332150
4100849
5387047
Stop Event
node-limit
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 30 to 18 computations (40% saved)

series60.0ms (1.5%)

Memory
24.5MiB live, 117.4MiB allocated; 5ms collecting garbage
Counts
9 → 59
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
#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))) (* 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 (* (+ 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 1) #s(hole binary64 1))
#s(approx (+ n 1) #s(hole binary64 (+ 1 n)))
#s(approx n #s(hole binary64 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 (log n)) #s(hole binary64 (* n (log n))))
#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 (- (* (+ 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 (* (+ 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 1) #s(hole binary64 n))
#s(approx (+ n 1) #s(hole binary64 (* n (+ 1 (/ 1 n)))))
#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 (log n)) #s(hole binary64 (* -1 (* n (log (/ 1 n))))))
#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 (- (* (+ 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 (* (+ 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 (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 (log n)) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Calls

3 calls:

TimeVariablePointExpression
37.0ms
n
@0
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n))
14.0ms
n
@-inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n))
8.0ms
n
@inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n))

rewrite171.0ms (4.4%)

Memory
-7.8MiB live, 277.7MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02281450
02401326
113911260
082641141
Stop Event
iter-limit
node-limit
iter-limit
Counts
68 → 115
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)
#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))) (* 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 (* (+ 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 1) #s(hole binary64 1))
#s(approx (+ n 1) #s(hole binary64 (+ 1 n)))
#s(approx n #s(hole binary64 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 (log n)) #s(hole binary64 (* n (log n))))
#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 (- (* (+ 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 (* (+ 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 1) #s(hole binary64 n))
#s(approx (+ n 1) #s(hole binary64 (* n (+ 1 (/ 1 n)))))
#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 (log n)) #s(hole binary64 (* -1 (* n (log (/ 1 n))))))
#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 (- (* (+ 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 (* (+ 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 (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 (log n)) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #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 #s(literal 1 binary64) n)) #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 #s(literal 1 binary64) n)) (fma.f64 (log.f64 n) n #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n)) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)))) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 2 binary64)) (+.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 1 binary64))))))
(-.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n))) #s(literal 1 binary64))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #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 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 n) (log.f64 n)) (*.f64 (neg.f64 n) (log.f64 n))) (*.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) (*.f64 (neg.f64 n) (log.f64 n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64))) (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n)))
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)))))
(fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n)))
(fma.f64 (+.f64 #s(literal 1 binary64) n) (log1p.f64 n) (*.f64 (neg.f64 n) (log.f64 n)))
(-.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n))) (/.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (fma.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n))))
(-.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n))))) (/.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n))))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n))
(+.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n)) (*.f64 (neg.f64 n) (log.f64 n)))
(log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) n)) (pow.f64 n n)))
(*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1 binary64) n) (log1p.f64 n))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (-.f64 (*.f64 n n) #s(literal 1 binary64))) (neg.f64 (-.f64 n #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (*.f64 n n) #s(literal 1 binary64)) (-.f64 n #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n)) (-.f64 #s(literal 1 binary64) n))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 n n (-.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 1 binary64) n))))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 n #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) n)) (/.f64 (*.f64 n n) (-.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n n (-.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) n)
(+.f64 n #s(literal 1 binary64))
n
#s(literal 1 binary64)
(log1p.f64 n)
(-.f64 (log.f64 (-.f64 (*.f64 n n) #s(literal 1 binary64))) (log.f64 (-.f64 n #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n))) (log.f64 (-.f64 #s(literal 1 binary64) n)))
(-.f64 (log.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 n #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 n n) (*.f64 #s(literal 1 binary64) n))))
(log.f64 (+.f64 #s(literal 1 binary64) n))
(*.f64 (log.f64 n) n)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(*.f64 (neg.f64 (log.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 n)))
(*.f64 #s(literal 1 binary64) (log.f64 n))
(neg.f64 (neg.f64 (log.f64 n)))
(log.f64 n)
#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) (-.f64 (*.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) (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) (log.f64 n)) n) #s(literal 1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) (log.f64 n)) n) #s(literal 1 binary64)))
#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))) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) (log.f64 n)) n))
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#s(approx (* (+ n 1) (log (+ n 1))) n)
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) n))
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#s(approx (+ n 1) #s(literal 1 binary64))
#s(approx (+ n 1) (+.f64 #s(literal 1 binary64) n))
#s(approx n n)
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#s(approx (* n (log n)) (neg.f64 (*.f64 (neg.f64 (log.f64 n)) n)))
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#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (fma.f64 #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)) (log.f64 #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (/.f64 (-.f64 (neg.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))) #s(literal 1 binary64)))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) n))) n)))
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) n)))
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (fma.f64 #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)) (log.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) n))) n)))
#s(approx (log (+ n 1)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ n 1)) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ n 1)) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) n)) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ n 1)) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) (log.f64 #s(literal -1 binary64))))
#s(approx (* n (log n)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))
#s(approx (log n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval13.0ms (0.3%)

Memory
31.0MiB live, 31.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 466 to 617 computations (82.2% saved)

prune5.0ms (0.1%)

Memory
-38.0MiB live, 8.7MiB allocated; 2ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1272129
Fresh000
Picked101
Done000
Total1282130
Accuracy
100.0%
Counts
130 → 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)

series21.0ms (0.5%)

Memory
1.3MiB live, 48.3MiB allocated; 2ms collecting garbage
Counts
5 → 16
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(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 #s(hole 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) #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
8.0ms
n
@-inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n)
7.0ms
n
@inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n)
6.0ms
n
@0
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n)

rewrite134.0ms (3.4%)

Memory
31.5MiB live, 178.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085431
086395
1526368
05219333
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
21 → 30
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
#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 #s(hole 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) #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(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(*.f64 (neg.f64 (log.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 n)))
(*.f64 (log.f64 n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 n)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 (log.f64 n)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 n))))
(neg.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 n)))
(log.f64 n)
n
#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) (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) (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) (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) (log.f64 n))
#s(approx n 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) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/12 binary64) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))
#s(approx (log n) (log.f64 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) (-.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) (-.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) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal -1 binary64) #s(literal -1/2 binary64)) n)))
#s(approx (log n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))

eval2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 534 to 89 computations (83.3% saved)

prune2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New22022
Fresh000
Picked022
Done000
Total22224
Accuracy
100.0%
Counts
24 → 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)

regimes5.0ms (0.1%)

Memory
-36.3MiB live, 10.7MiB allocated; 1ms 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:

3.0ms
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
8.4MiB live, 8.4MiB 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)

derivations45.0ms (1.2%)

Memory
21.9MiB live, 72.7MiB allocated; 3ms collecting garbage
Stop Event
done
Compiler

Compiled 35 to 13 computations (62.9% saved)

preprocess22.0ms (0.6%)

Memory
-36.6MiB live, 54.7MiB allocated; 5ms 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

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