Metrics for logs (example 3.8)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze31.0ms (0.5%)

Memory

-42.7MiB live, 0.6MiB allocated

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)

sample3.4s (55.7%)

Memory

93.2MiB live, 3 712.7MiB allocated

Samples

2.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-log1p: 902.0ms (35.1% of total)

ival-log: 659.0ms (25.6% of total)

ival-mult: 347.0ms (13.5% of total)

adjust: 269.0ms (10.5% of total)

ival-sub: 223.0ms (8.7% of total)

ival-add: 134.0ms (5.2% of total)

ival->: 23.0ms (0.9% of total)

exact: 11.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain330.0ms (5.4%)

Memory

27.1MiB live, 315.3MiB allocated

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	254	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	2	0
↳	`(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))`	overflow	2
↳	`(*.f64 n (log.f64 n))`	overflow	2

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

248.0ms

512×

valid

Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-log: 74.0ms (32.9% of total)

adjust: 55.0ms (24.4% of total)

ival-log1p: 38.0ms (16.9% of total)

ival-mult: 32.0ms (14.2% of total)

ival-sub: 19.0ms (8.4% of total)

ival-add: 6.0ms (2.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess149.0ms (2.5%)

Memory

-20.0MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	24	37
2	49	37
3	152	35
4	308	35
5	610	33
6	928	33
7	1469	32
8	2110	32
9	2491	32
10	2733	32
11	3225	32
12	3257	32
13	3257	32
0	9	15
0	16	15
1	26	15
2	46	15
3	160	15
4	304	15
5	574	15
6	827	15
7	1265	15
8	1895	15
9	2241	15
10	2449	15
11	2953	15
12	2982	15
13	2982	15
0	2982	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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 #s(literal -1 binary64) (log1p.f64 n)))

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

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)

simplify94.0ms (1.5%)

Memory

-2.5MiB live, 41.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
cost-diff	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))
cost-diff	2	(log.f64 (+.f64 n #s(literal 1 binary64)))
cost-diff	2	(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
0	16	51
1	26	51
2	46	51
3	160	51
4	304	51
5	574	51
6	827	51
7	1265	51
8	1895	51
9	2241	51
10	2449	51
11	2953	51
12	2982	51
13	2982	51
0	2982	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(+.f64 n #s(literal 1 binary64))
n
#s(literal 1 binary64)
(log.f64 (+.f64 n #s(literal 1 binary64)))
(*.f64 n (log.f64 n))
(log.f64 n)

Outputs
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) n (+.f64 #s(literal -1 binary64) (log1p.f64 n)))
(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) n (log1p.f64 n))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(+.f64 n #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) n)
n
#s(literal 1 binary64)
(log.f64 (+.f64 n #s(literal 1 binary64)))
(log1p.f64 n)
(*.f64 n (log.f64 n))
(*.f64 (log.f64 n) n)
(log.f64 n)

localize126.0ms (2.1%)

Memory

4.8MiB live, 68.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
accuracy	0.28125	(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
accuracy	0.28125	(*.f64 n (log.f64 n))
accuracy	62.01001324574602	(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))

Samples

116.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

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

ival-log: 54.0ms (51.8% of total)

ival-log1p: 20.0ms (19.2% of total)

ival-sub: 12.0ms (11.5% of total)

adjust: 7.0ms (6.7% of total)

ival-mult: 7.0ms (6.7% of total)

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

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series79.0ms (1.3%)

Memory

-0.1MiB live, 91.2MiB allocated

Counts

5 → 46

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))
(log.f64 (+.f64 n #s(literal 1 binary64)))
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(*.f64 n (log.f64 n))

Outputs
(* n (- 1 (log n)))
(* n (- (+ 1 (* 1/2 n)) (log n)))
(* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))
(* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))
n
(* n (+ 1 (* -1/2 n)))
(* n (+ 1 (* n (- (* 1/3 n) 1/2))))
(* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))
-1
(- (* n (- 1 (log n))) 1)
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(* n (+ 1 (* 1/2 n)))
(* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))
(* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))
(* n (log n))
(+ 1 (* -1 (log (/ 1 n))))
(+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))
(* -1 (log (/ 1 n)))
(+ (* -1 (log (/ 1 n))) (/ 1 n))
(- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))
(- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(* -1 (* n (log (/ 1 n))))
(* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n))))
(* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))))
(* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n)))))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n)))))
(* -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)))))

Calls

3 calls:

Time	Variable		Point	Expression
53.0ms	n	@	0	((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* (+ n 1) (log (+ n 1))) (* n (log n)))
13.0ms	n	@	-inf	((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* (+ n 1) (log (+ n 1))) (* n (log n)))
12.0ms	n	@	inf	((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* (+ n 1) (log (+ n 1))) (* n (log n)))

Time

Variable

Point

Expression

53.0ms

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

13.0ms

-inf

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

12.0ms

inf

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

simplify142.0ms (2.3%)

Memory

-0.3MiB live, 144.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	649
1	517	581
2	1792	561
3	7111	553
0	8235	534

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

Inputs
(* n (- 1 (log n)))
(* n (- (+ 1 (* 1/2 n)) (log n)))
(* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))
(* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))
n
(* n (+ 1 (* -1/2 n)))
(* n (+ 1 (* n (- (* 1/3 n) 1/2))))
(* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))
-1
(- (* n (- 1 (log n))) 1)
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(* n (+ 1 (* 1/2 n)))
(* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))
(* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))
(* n (log n))
(+ 1 (* -1 (log (/ 1 n))))
(+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))
(* -1 (log (/ 1 n)))
(+ (* -1 (log (/ 1 n))) (/ 1 n))
(- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))
(- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(* -1 (* n (log (/ 1 n))))
(* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n))))
(* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))))
(* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n)))))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n)))))
(* -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)))))

Outputs
(* n (- 1 (log n)))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n)
(* n (- (+ 1 (* 1/2 n)) (log n)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n)
(* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))
(-.f64 n (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n (log.f64 n)) n))
(* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))
(.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 (-.f64 #s(literal 1 binary64) (log.f64 n))) n)
n
(* n (+ 1 (* -1/2 n)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1 binary64)) n)
(* n (+ 1 (* n (- (* 1/3 n) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n #s(literal 1 binary64)) n)
(* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))
(.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)
-1
#s(literal -1 binary64)
(- (* n (- 1 (log n))) 1)
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n) #s(literal 1 binary64))
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n) #s(literal 1 binary64))
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(-.f64 (-.f64 n (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n (log.f64 n)) n)) #s(literal 1 binary64))
(* n (+ 1 (* 1/2 n)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) n)
(* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) n)
(* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))
(.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)
(* n (log n))
(*.f64 (log.f64 n) n)
(+ 1 (* -1 (log (/ 1 n))))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))
(-.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))
(-.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) (+.f64 (log.f64 n) #s(literal 1 binary64)))
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (* -1 (log (/ 1 n))) (/ 1 n))
(+.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n))
(- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))
(-.f64 (+.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))
(- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1 binary64)) n) (log.f64 n))
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(-.f64 (log.f64 n) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) (log.f64 n))
(* -1 (* n (log (/ 1 n))))
(*.f64 (log.f64 n) n)
(* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n))))
(fma.f64 (+.f64 (/.f64 (log.f64 n) n) (log.f64 n)) n #s(literal 1 binary64))
(* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))))
(fma.f64 (+.f64 (/.f64 (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)) n) (log.f64 n)) n #s(literal 1 binary64))
(* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3)))))
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) n) (log.f64 n)) n)
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) #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))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) #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))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) n)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) (neg.f64 n)) #s(literal 1 binary64)) n)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(-.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))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))
(-.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))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n) n #s(literal 1 binary64)))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n)))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)) n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) n)
(* -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)))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) #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)) n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) n)

rewrite162.0ms (2.7%)

Memory

30.8MiB live, 218.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	16	44
1	66	42
2	508	42
0	8096	35

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 253

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))
(log.f64 (+.f64 n #s(literal 1 binary64)))
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(*.f64 n (log.f64 n))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 3 binary64)))) (fma.f64 (.f64 (log.f64 n) n) (-.f64 (*.f64 (log.f64 n) n) (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)) (.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n)) (-.f64 (.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n)) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)))) (fma.f64 (neg.f64 n) (log.f64 n) (fma.f64 (log1p.f64 n) n (log1p.f64 n))))
(*.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (/.f64 (fma.f64 (neg.f64 n) (log.f64 n) (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n)))))
(.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n)))))
(.f64 (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 n) (log.f64 n) (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (*.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (*.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (neg.f64 n) (log.f64 n) (fma.f64 (log1p.f64 n) n (log1p.f64 n))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 n) (log.f64 n) (fma.f64 (log1p.f64 n) n (log1p.f64 n))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (*.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (*.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n)))) (/.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))))) (.f64 (/.f64 (pow.f64 (.f64 (log.f64 n) n) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n)))) (/.f64 (pow.f64 (.f64 (log.f64 n) n) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n)))) (/.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 n) n (fma.f64 (log1p.f64 n) n (log1p.f64 n))) (*.f64 (log.f64 n) n) (pow.f64 (fma.f64 (log1p.f64 n) n (log1p.f64 n)) #s(literal 2 binary64))))))
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(fma.f64 (log1p.f64 n) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))) (*.f64 (log1p.f64 n) (pow.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (*.f64 (log1p.f64 n) n))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(fma.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 n) n) (log1p.f64 n))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(fma.f64 n (log1p.f64 n) (log1p.f64 n))
(-.f64 (.f64 (log1p.f64 n) n) (.f64 #s(literal -1 binary64) (log1p.f64 n)))
(-.f64 (.f64 (log1p.f64 n) n) (.f64 (neg.f64 (log1p.f64 n)) #s(literal 1 binary64)))
(-.f64 (log1p.f64 n) (*.f64 (neg.f64 n) (log1p.f64 n)))
(-.f64 (log1p.f64 n) (*.f64 (neg.f64 (log1p.f64 n)) n))
(+.f64 (.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))) (log1p.f64 n)) (.f64 (pow.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (log1p.f64 n)))
(+.f64 (.f64 (log1p.f64 n) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))) (.f64 (log1p.f64 n) (pow.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))))
(+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) n) (fma.f64 n #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) n) (fma.f64 n #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (log1p.f64 n) n) (log1p.f64 n))
(+.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) n)))
(.f64 (.f64 (log.f64 n) #s(literal 1 binary64)) n)
(.f64 (.f64 (log.f64 n) n) #s(literal 1 binary64))
(*.f64 (log.f64 n) n)
(.f64 #s(literal 1 binary64) (.f64 (log.f64 n) n))
(.f64 n (.f64 #s(literal 1 binary64) (log.f64 n)))
(.f64 n (.f64 (log.f64 n) #s(literal 1 binary64)))
(*.f64 n (log.f64 n))
(neg.f64 (*.f64 (neg.f64 n) (log.f64 n)))
(+.f64 (log.f64 (pow.f64 n (.f64 n #s(literal 1/2 binary64)))) (log.f64 (pow.f64 n (.f64 n #s(literal 1/2 binary64)))))
(log.f64 (pow.f64 n n))

eval59.0ms (1%)

Memory: -34.0MiB live, 101.9MiB allocated
Compiler: Compiled 10 171 to 1 141 computations (88.8% saved)

prune4.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	295	3	298
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	296	3	299

Accuracy

100.0%

Counts

299 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	100.0%	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
▶	1.6%	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Status

Accuracy

Program

▶

100.0%

(-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))

▶

100.0%

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))

▶

1.6%

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify73.0ms (1.2%)

Memory

23.3MiB live, 67.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 n)
cost-diff	0	(+.f64 (log.f64 n) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) n)
cost-diff	0	(log.f64 n)
cost-diff	0	(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
cost-diff	0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
cost-diff	0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
0	24	99
1	35	99
2	55	99
3	167	99
4	314	99
5	588	99
6	853	99
7	1298	99
8	1933	99
9	2278	99
10	2485	99
11	2989	99
12	3021	99
13	3021	99
0	3021	83

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(log.f64 n)
n
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64)))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(log.f64 n)
n
#s(literal 1 binary64)

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) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(log.f64 n)
n
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64)))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(log.f64 n)
n
#s(literal 1 binary64)

localize139.0ms (2.3%)

Memory

-21.2MiB live, 178.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 n)
accuracy	0.0	#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64)))
accuracy	0.0078125	(-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0078125	(+.f64 (log.f64 n) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) n)
accuracy	0.0	(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
accuracy	0.0	(log.f64 n)
accuracy	0.0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
accuracy	63.00440449683432	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Samples

114.0ms

256×

valid

Compiler

Compiled 82 to 16 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

adjust: 36.0ms (36.2% of total)

ival-log1p: 20.0ms (20.1% of total)

ival-log: 19.0ms (19.1% of total)

ival-sub: 9.0ms (9% of total)

ival-mult: 7.0ms (7% of total)

ival-add: 6.0ms (6% of total)

ival-div: 2.0ms (2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series54.0ms (0.9%)

Memory

-7.5MiB live, 37.0MiB allocated

Counts

8 → 29

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) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(log.f64 n)
(/.f64 #s(literal -1/2 binary64) n)
(-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64)))
(+.f64 (log.f64 n) #s(literal 1 binary64))

Outputs
-1
(- (* n (- 1 (log n))) 1)
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(/ 1/2 n)
(/ (+ 1/2 (* n (log n))) n)
(log n)
(/ -1/2 n)
(* n (- 1 (log n)))
(* n (- (+ 1 (* 1/2 n)) (log n)))
(* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))
(* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))
(+ 1 (log n))
(* -1 (log (/ 1 n)))
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(+ 1 (* -1 (log (/ 1 n))))
(+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))

Calls

3 calls:

Time	Variable		Point	Expression
39.0ms	n	@	inf	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (log n) (/ -1/2 n)) (log n) (/ -1/2 n) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+ (log n) 1))
7.0ms	n	@	-inf	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (log n) (/ -1/2 n)) (log n) (/ -1/2 n) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+ (log n) 1))
7.0ms	n	@	0	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (log n) (/ -1/2 n)) (log n) (/ -1/2 n) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+ (log n) 1))

Time

Variable

Point

Expression

39.0ms

inf

((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (log n) (/ -1/2 n)) (log n) (/ -1/2 n) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+ (log n) 1))

7.0ms

-inf

((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (log n) (/ -1/2 n)) (log n) (/ -1/2 n) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+ (log n) 1))

7.0ms

((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (log n) (/ -1/2 n)) (log n) (/ -1/2 n) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+ (log n) 1))

simplify143.0ms (2.3%)

Memory

6.6MiB live, 191.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	327
1	233	305
2	681	293
3	2071	287
4	6666	287
0	8017	277

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
-1
(- (* n (- 1 (log n))) 1)
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(/ 1/2 n)
(/ (+ 1/2 (* n (log n))) n)
(log n)
(/ -1/2 n)
(* n (- 1 (log n)))
(* n (- (+ 1 (* 1/2 n)) (log n)))
(* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))
(* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))
(+ 1 (log n))
(* -1 (log (/ 1 n)))
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(+ 1 (* -1 (log (/ 1 n))))
(+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))

Outputs
-1
#s(literal -1 binary64)
(- (* n (- 1 (log n))) 1)
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n) #s(literal 1 binary64))
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(-.f64 n (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (log.f64 n)) n #s(literal 1 binary64)))
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(-.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n (log.f64 n)) n #s(literal 1 binary64)))
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ (+ 1/2 (* n (log n))) n)
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(log n)
(log.f64 n)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(* n (- 1 (log n)))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n)
(* n (- (+ 1 (* 1/2 n)) (log n)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n)
(* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))
(*.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)
(* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))
(.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 (-.f64 #s(literal 1 binary64) (log.f64 n))) n)
(+ 1 (log n))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(-.f64 (log.f64 n) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(-.f64 (log.f64 n) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n))
(+ 1 (* -1 (log (/ 1 n))))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))
(-.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))
(-.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))
(-.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(-.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))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))

rewrite171.0ms (2.8%)

Memory

2.6MiB live, 188.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	24	92
1	108	88
2	840	88
0	8466	82

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

8 → 89

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) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(log.f64 n)
(/.f64 #s(literal -1/2 binary64) n)
(-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64)))
(+.f64 (log.f64 n) #s(literal 1 binary64))

Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)))) (.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))))) (+.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (*.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)))) (fma.f64 (log.f64 n) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)))
(/.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64))) (fma.f64 (log.f64 n) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))))
(-.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))))
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(+.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))))
(*.f64 (log.f64 n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 n))
(fma.f64 (log.f64 n) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(+.f64 (log.f64 n) #s(literal 0 binary64))
(log.f64 (pow.f64 n #s(literal 1 binary64)))
(log.f64 n)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (neg.f64 n))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 n))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal -1/2 binary64) n)
(neg.f64 (/.f64 #s(literal 1/2 binary64) n))
(.f64 (/.f64 (+.f64 #s(approx (- ( (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 #s(approx (- ( (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64)))) (.f64 (pow.f64 (+.f64 #s(approx (- ( (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (fma.f64 (log.f64 n) (log.f64 n) #s(literal -1 binary64))) (neg.f64 (-.f64 (log.f64 n) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 n)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (log.f64 n) (log.f64 n) (-.f64 #s(literal 1 binary64) (log.f64 n)))))
(/.f64 (fma.f64 (log.f64 n) (log.f64 n) #s(literal -1 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 n))))
(/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (log.f64 n) (log.f64 n) (-.f64 #s(literal 1 binary64) (log.f64 n))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (log.f64 n) (log.f64 n) #s(literal -1 binary64))) (-.f64 (log.f64 n) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (log.f64 n) (log.f64 n) (-.f64 #s(literal 1 binary64) (log.f64 n)))))
(neg.f64 (/.f64 (fma.f64 (log.f64 n) (log.f64 n) #s(literal -1 binary64)) (neg.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (log.f64 n) (log.f64 n) (-.f64 #s(literal 1 binary64) (log.f64 n))))))
(fma.f64 (log.f64 n) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 n) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 n))) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 n))))
(-.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 n)))
(+.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 n)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 n)))) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 n)))))
(+.f64 (pow.f64 (fma.f64 (log.f64 n) (log.f64 n) (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 n) (-.f64 #s(literal 1 binary64) (log.f64 n)))))
(+.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 n) (-.f64 #s(literal 1 binary64) (log.f64 n)))) (pow.f64 (fma.f64 (log.f64 n) (log.f64 n) (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal -1 binary64)))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (log.f64 n))

eval16.0ms (0.3%)

Memory: 22.1MiB live, 22.1MiB allocated
Compiler: Compiled 6 077 to 501 computations (91.8% saved)

prune3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	124	3	127

Accuracy

100.0%

Counts

127 → 3

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))

▶

4.9%

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))

✓

1.6%

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Compiler

Compiled 61 to 38 computations (37.7% saved)

simplify67.0ms (1.1%)

Memory

-30.0MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 n)
cost-diff	0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) n)
cost-diff	0	#s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n))
cost-diff	0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	62
0	20	62
1	30	62
2	50	62
3	163	62
4	311	62
5	585	62
6	846	62
7	1291	62
8	1918	62
9	2264	62
10	2471	62
11	2975	62
12	3008	62
13	3008	62
0	3008	54

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
#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(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(log.f64 n)
n

localize98.0ms (1.6%)

Memory

-7.9MiB live, 93.6MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 n)
accuracy	0.0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) n)
accuracy	0.0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))
accuracy	60.88117891793036	#s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n))

Samples

88.0ms

256×

valid

Compiler

Compiled 46 to 16 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-log: 21.0ms (28% of total)

ival-log1p: 20.0ms (26.7% of total)

adjust: 13.0ms (17.3% of total)

ival-mult: 7.0ms (9.3% of total)

ival-sub: 6.0ms (8% of total)

ival-div: 3.0ms (4% of total)

ival-add: 3.0ms (4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

30.2MiB live, 30.2MiB allocated

Counts

5 → 15

Calls

Call 1

Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(log.f64 n)

Outputs
-1
(- (* n (- 1 (log n))) 1)
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(/ 1/2 n)
(/ (+ 1/2 (* n (log n))) n)
(log n)
(* -1 (log (/ 1 n)))
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (log n) (/ -1/2 n)) (/ 1/2 n) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n))

7.0ms

((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (log n) (/ -1/2 n)) (/ 1/2 n) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n))

6.0ms

inf

((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (log n) (/ -1/2 n)) (/ 1/2 n) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n))

simplify106.0ms (1.7%)

Memory

-4.0MiB live, 85.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	153
1	178	143
2	464	135
3	1324	132
4	4323	128
0	8112	123

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
-1
(- (* n (- 1 (log n))) 1)
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(/ 1/2 n)
(/ (+ 1/2 (* n (log n))) n)
(log n)
(* -1 (log (/ 1 n)))
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))

Outputs
-1
#s(literal -1 binary64)
(- (* n (- 1 (log n))) 1)
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n) #s(literal 1 binary64))
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(-.f64 n (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (log.f64 n)) n #s(literal 1 binary64)))
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(-.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n (log.f64 n)) n #s(literal 1 binary64)))
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ (+ 1/2 (* n (log n))) n)
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(-.f64 (log.f64 n) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(-.f64 (log.f64 n) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n))
(+ (log -1) (* -1 (log (/ -1 n))))
(+.f64 (log.f64 (neg.f64 n)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))
(-.f64 (+.f64 (log.f64 (neg.f64 n)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) n))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(-.f64 (+.f64 (log.f64 (neg.f64 n)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))
(-.f64 (+.f64 (log.f64 (neg.f64 n)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n))

rewrite173.0ms (2.8%)

Memory

-21.3MiB live, 120.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
0	20	59
1	86	57
2	657	57
0	8403	53

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 9

Calls

Call 1

Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(log.f64 n)

Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 #s(literal -1/2 binary64) (neg.f64 n))
(neg.f64 (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(+.f64 (log.f64 n) #s(literal 0 binary64))
(log.f64 n)

eval2.0ms (0%)

Memory: 3.4MiB live, 3.4MiB allocated
Compiler: Compiled 544 to 78 computations (85.7% saved)

prune3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	22	3	25

Accuracy

100.0%

Counts

25 → 3

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))

✓

4.9%

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))

✓

1.6%

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Compiler

Compiled 179 to 72 computations (59.8% saved)

regimes6.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

6 → 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) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) 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

(-.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))

2.0ms

(-.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)

regimes4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

2 → 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) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))

Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))

Calls

3 calls:

1.0ms

(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 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))

Results

Accuracy	Segments	Branch
4.9%	1	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`
4.9%	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))`
4.9%	1	`n`

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

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)

simplify36.0ms (0.6%)

Memory

-29.3MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	30	61
2	50	61
3	162	61
4	313	61
5	668	61
6	939	61
7	1325	61
8	1930	61
9	2135	61
10	2153	61

Stop Event

1×

saturated

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(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) 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(approx (- (log n) (/ -1/2 n)) (/.f64 #s(literal 1/2 binary64) n)))

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

soundness367.0ms (6%)

Memory

46.0MiB live, 187.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	327
1	233	305
2	681	293
3	2071	287
4	6666	287
0	8017	277
0	154	649
1	517	581
2	1792	561
3	7111	553
0	8235	534

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 71 to 32 computations (54.9% saved)

preprocess34.0ms (0.6%)

Memory: 1.7MiB live, 47.0MiB allocated
Compiler: Compiled 200 to 92 computations (54% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze31.0ms (0.5%)

sample3.4s (55.7%)

explain330.0ms (5.4%)

preprocess149.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify94.0ms (1.5%)

localize126.0ms (2.1%)

series79.0ms (1.3%)

simplify142.0ms (2.3%)

rewrite162.0ms (2.7%)

eval59.0ms (1%)

prune4.0ms (0.1%)

simplify73.0ms (1.2%)

localize139.0ms (2.3%)

series54.0ms (0.9%)

simplify143.0ms (2.3%)

rewrite171.0ms (2.8%)

eval16.0ms (0.3%)

prune3.0ms (0%)

simplify67.0ms (1.1%)

localize98.0ms (1.6%)

series20.0ms (0.3%)

simplify106.0ms (1.7%)

rewrite173.0ms (2.8%)

eval2.0ms (0%)

prune3.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

simplify36.0ms (0.6%)

soundness367.0ms (6%)

preprocess34.0ms (0.6%)

end0.0ms (0%)

Profiling