Metrics for logs (example 3.8)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample2.7s (74.4%)

Memory

4.0MiB live, 1 105.0MiB allocated; 867ms collecting garbage

Samples

2.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-log1p: 661.0ms (37.4% of total)

ival-log: 554.0ms (31.3% of total)

adjust: 253.0ms (14.3% of total)

ival-mult!: 160.0ms (9.1% of total)

ival-sub!: 94.0ms (5.3% of total)

ival-add!: 46.0ms (2.6% of total)

Bogosity

explain212.0ms (5.9%)

Memory

-6.1MiB live, 139.8MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`
0	-	-	`n`
0	-	-	`(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 n #s(literal 1 binary64))`
0	-	-	`(log.f64 n)`
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))`
0	-	-	`(*.f64 n (log.f64 n))`
0	-	-	`(log.f64 (+.f64 n #s(literal 1 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`	cancellation	252	0
`-.f64`	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`	nan-rescue	4	0
↳	`(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))`	overflow	4
↳	`(*.f64 n (log.f64 n))`	overflow	4

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

124.0ms

512×

valid

Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-log1p: 37.0ms (35.6% of total)

ival-log: 36.0ms (34.7% of total)

adjust: 15.0ms (14.4% of total)

ival-mult!: 10.0ms (9.6% of total)

ival-sub!: 4.0ms (3.9% of total)

ival-add!: 3.0ms (2.9% of total)

preprocess169.0ms (4.7%)

Memory

35.9MiB live, 80.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
1	38	52
2	85	52
3	321	50
4	1008	49
5	3870	47
0	9	15
0	16	15
1	26	15
2	49	15
3	185	15
4	547	15
5	2107	15
6	7813	15
0	8123	11

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)

series63.0ms (1.8%)

Memory

-1.0MiB live, 45.4MiB allocated; 3ms 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:

Time	Variable		Point	Expression
43.0ms	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))
12.0ms	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))
7.0ms	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))

Time

Variable

Point

Expression

43.0ms

((- (- (* (+ 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))

12.0ms

-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))

7.0ms

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))

rewrite198.0ms (5.5%)

Memory

-4.2MiB live, 99.8MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	1450
0	240	1326
1	1391	1260
0	8264	1141

Stop Event

1×	iter limit
1×	node limit
1×	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))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.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(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (.f64 (-.f64 (fma.f64 (fma.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)) n))
#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))
#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))) (.f64 (fma.f64 (fma.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)) n))
#s(approx (+ n 1) #s(literal 1 binary64))
#s(approx (+ n 1) (+.f64 #s(literal 1 binary64) n))
#s(approx n n)
#s(approx (log (+ n 1)) 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)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n #s(literal 1 binary64)) n))
#s(approx (log (+ n 1)) (.f64 (fma.f64 (-.f64 (.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 (log n)) (*.f64 (log.f64 n) n))
#s(approx (log n) (log.f64 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 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n 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))) (+.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (+.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) (/.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))) (-.f64 (+.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (neg.f64 (log.f64 n)) n)))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (+.f64 (/.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) n) (log.f64 n)) n))
#s(approx (* (+ n 1) (log (+ n 1))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (log.f64 n) n)) (log.f64 n)) n))
#s(approx (* (+ n 1) (log (+ n 1))) (.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (log.f64 n) n)) (log.f64 n)) (*.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64))) n))
#s(approx (+ n 1) n)
#s(approx (+ n 1) (fma.f64 #s(literal 1 binary64) n #s(literal 1 binary64)))
#s(approx (log (+ n 1)) (log.f64 n))
#s(approx (log (+ n 1)) (+.f64 (log.f64 n) (pow.f64 n #s(literal -1 binary64))))
#s(approx (log (+ n 1)) (-.f64 (+.f64 (log.f64 n) (pow.f64 n #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
#s(approx (log (+ n 1)) (-.f64 (+.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64))) (log.f64 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
#s(approx (* n (log n)) (neg.f64 (*.f64 (neg.f64 (log.f64 n)) n)))
#s(approx (log n) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (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 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 #s(literal -1 binary64))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (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(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (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 1/12 binary64) n) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n)) (log.f64 #s(literal -1 binary64))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#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))))

eval21.0ms (0.6%)

Memory: -32.0MiB live, 17.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 631 to 619 computations (83% saved)

prune4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	2	141

Accuracy

100.0%

Counts

141 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)

series18.0ms (0.5%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms 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:

Time	Variable		Point	Expression
6.0ms	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	@	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)

Time

Variable

Point

Expression

6.0ms

-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

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 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n)

rewrite131.0ms (3.6%)

Memory

-33.6MiB live, 58.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	431
0	86	395
1	526	368
0	5219	333

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	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 (0.1%)

Memory: 2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 622 to 91 computations (85.4% saved)

prune2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	27	2	29

Accuracy

100.0%

Counts

29 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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

5.7MiB live, 5.7MiB 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

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

Accuracy	Segments	Branch
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%	1	`n`

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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

(-.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

Accuracy	Segments	Branch
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%	1	`n`

Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify32.0ms (0.9%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	23	35
2	46	35
3	184	35
4	646	35
5	3587	35

Stop Event

1×	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))

derivations41.0ms (1.1%)

Memory

-42.1MiB live, 10.6MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 13 computations (62.9% saved)

preprocess22.0ms (0.6%)

Memory: 22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 148 to 78 computations (47.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.7s (74.4%)

explain212.0ms (5.9%)

preprocess169.0ms (4.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series63.0ms (1.8%)

rewrite198.0ms (5.5%)

eval21.0ms (0.6%)

prune4.0ms (0.1%)

series18.0ms (0.5%)

rewrite131.0ms (3.6%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify32.0ms (0.9%)

derivations41.0ms (1.1%)

preprocess22.0ms (0.6%)

end0.0ms (0%)

Profiling