Metrics for logs (example 3.8)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample3.0s (50%)

Memory

-29.8MiB live, 2 610.7MiB allocated

Samples

2.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-log: 794.0ms (33.3% of total)

ival-log1p: 656.0ms (27.5% of total)

ival-mult: 272.0ms (11.4% of total)

adjust: 233.0ms (9.8% of total)

ival-sub: 214.0ms (9% of total)

ival-add: 176.0ms (7.4% of total)

ival->: 25.0ms (1% of total)

exact: 11.0ms (0.5% of total)

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

Bogosity

explain419.0ms (6.9%)

Memory

12.8MiB live, 249.5MiB 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

144.0ms

512×

valid

Compiler

Compiled 223 to 71 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-log1p: 41.0ms (34% of total)

ival-log: 37.0ms (30.7% of total)

adjust: 14.0ms (11.6% of total)

ival-mult: 14.0ms (11.6% of total)

ival-sub: 9.0ms (7.5% of total)

ival-add: 6.0ms (5% of total)

ival-true: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

preprocess74.0ms (1.2%)

Memory

5.3MiB live, 42.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	33	33
2	88	32
3	286	32
4	746	32
5	1388	32
6	1844	32
7	1862	32
0	9	15
0	16	15
1	31	15
2	59	15
3	123	15
4	258	15
5	493	15
6	849	15
7	1201	15
8	1400	15
9	1417	15
0	1417	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 (log1p.f64 n) #s(literal 1 binary64)))

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

simplify37.0ms (0.6%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.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	192	(log.f64 (+.f64 n #s(literal 1 binary64)))
cost-diff	320	(-.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	31	51
2	59	51
3	123	51
4	258	51
5	493	51
6	849	51
7	1201	51
8	1400	51
9	1417	51
0	1417	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 (log1p.f64 n) #s(literal 1 binary64)))
(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) n (log1p.f64 n))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(+.f64 n #s(literal 1 binary64))
(-.f64 n #s(literal -1 binary64))
n
#s(literal 1 binary64)
(log.f64 (+.f64 n #s(literal 1 binary64)))
(log1p.f64 n)
(*.f64 n (log.f64 n))
(*.f64 (log.f64 n) n)
(log.f64 n)

localize109.0ms (1.8%)

Memory

-6.1MiB live, 72.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.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	0.30078125	(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
accuracy	0.30078125	(*.f64 n (log.f64 n))
accuracy	62.009922118211385	(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))

Samples

84.0ms

256×

valid

Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-log1p: 27.0ms (37.2% of total)

ival-log: 17.0ms (23.4% of total)

ival-mult: 14.0ms (19.3% of total)

adjust: 7.0ms (9.7% of total)

ival-sub: 4.0ms (5.5% of total)

ival-add: 3.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.9%)

Memory

16.2MiB live, 51.5MiB allocated

Counts

6 → 49

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 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))))

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)
1
(+ 1 n)
(* n (log n))
(* n (+ 1 (* 1/2 n)))
(* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))
(* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))
(+ 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)))
(* n (+ 1 (/ 1 n)))
(* -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
37.0ms	n	@	0	((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+ n 1) (* n (log n)) (* (+ n 1) (log (+ n 1))))
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) (* n (log n)) (* (+ n 1) (log (+ n 1))))
7.0ms	n	@	inf	((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+ n 1) (* n (log n)) (* (+ n 1) (log (+ n 1))))

Time

Variable

Point

Expression

37.0ms

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

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

7.0ms

inf

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

simplify147.0ms (2.4%)

Memory

0.7MiB live, 120.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	656
1	496	592
2	1409	569
3	4863	553
0	8508	524

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

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

rewrite175.0ms (2.9%)

Memory

-4.4MiB live, 153.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
0	16	47
1	66	47
2	516	47
0	8397	38

Stop Event

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

Counts

6 → 497

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 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))))

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

eval79.0ms (1.3%)

Memory: -19.8MiB live, 99.3MiB allocated
Compiler: Compiled 19 581 to 2 105 computations (89.2% saved)

prune9.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	608	3	611
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	609	3	612

Accuracy

100.0%

Counts

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

simplify56.0ms (0.9%)

Memory

-17.6MiB live, 21.4MiB 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	(log.f64 n)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) n)
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))
cost-diff	0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 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	41	99
2	70	99
3	137	99
4	271	99
5	510	99
6	867	99
7	1221	99
8	1445	99
9	1511	99
10	1548	99
11	1577	99
12	1586	99
0	1586	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 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
(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))) (+.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 (/.f64 #s(literal 1/2 binary64) n) (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)))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
(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))
(-.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)))
#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))
(-.f64 (log.f64 n) #s(literal -1 binary64))
(log.f64 n)
n
#s(literal 1 binary64)

localize101.0ms (1.7%)

Memory

-5.6MiB live, 69.8MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 n)
accuracy	0	#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.00390625	(+.f64 (log.f64 n) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1/2 binary64) n)
accuracy	0	(+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))
accuracy	0	(log.f64 n)
accuracy	0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))
accuracy	63.004358492228505	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Samples

86.0ms

256×

valid

Compiler

Compiled 181 to 36 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-log1p: 20.0ms (28% of total)

ival-log: 17.0ms (23.8% of total)

ival-add: 10.0ms (14% of total)

adjust: 9.0ms (12.6% of total)

ival-mult: 9.0ms (12.6% of total)

ival-sub: 4.0ms (5.6% of total)

ival-div: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

8 → 28

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 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))
(/.f64 #s(literal 1/2 binary64) n)
(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))) (+.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)
(* 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
7.0ms	n	@	-inf	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+ (/ 1/2 n) (log n)) (/ 1/2 n) (log 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) (+ (/ 1/2 n) (log n)) (/ 1/2 n) (log 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) (+ (/ 1/2 n) (log n)) (/ 1/2 n) (log 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

7.0ms

-inf

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

simplify174.0ms (2.9%)

Memory

-20.7MiB live, 94.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	324
1	216	300
2	555	290
3	1550	286
4	4475	278
5	6790	278
0	8039	265

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

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

rewrite205.0ms (3.4%)

Memory

7.8MiB live, 128.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	24	92
1	113	92
2	928	92
0	8278	82

Stop Event

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

Counts

8 → 158

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 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))
(/.f64 #s(literal 1/2 binary64) n)
(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))) (+.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 (fma.f64 (log.f64 n) (log.f64 n) (.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (log.f64 n) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 n) (log.f64 n) (.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))))))
(.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (log.f64 n) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64))
(/.f64 (-.f64 (.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 (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 (log.f64 n) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))))
(/.f64 (-.f64 (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)) (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))) (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))) (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))) (*.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 (log.f64 n) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))))))
(/.f64 (neg.f64 (fma.f64 (log.f64 n) (log.f64 n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -2 binary64))))) (neg.f64 (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 n) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)))))))
(/.f64 (-.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)) (pow.f64 (log.f64 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 (fma.f64 (log.f64 n) (log.f64 n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -2 binary64)))) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 n) (log.f64 n) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 n) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))
(/.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (fma.f64 (log.f64 n) (log.f64 n) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))))
(/.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 n) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)) (fma.f64 (log.f64 n) (log.f64 n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 n) (log.f64 n) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 n) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 n) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)))))))
(fma.f64 (pow.f64 (.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 n))
(fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64) (log.f64 n))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) n) (log.f64 n))
(fma.f64 (log.f64 n) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64) (log.f64 n))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)) (log.f64 n))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) n) (log.f64 n))
(fma.f64 #s(literal 1 binary64) (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))
(-.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (-.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) 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 (log.f64 n) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))))
(-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) 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))) (neg.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))))
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))
(.f64 (pow.f64 (.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) n))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 n))
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 #s(literal -1 binary64) (*.f64 n #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) n))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) n))
(exp.f64 (.f64 (log.f64 (.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.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 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 (neg.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)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 (neg.f64 (-.f64 (pow.f64 #s(approx (- ( (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.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)) #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #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)) #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 3 binary64)) #s(literal 1 binary64)) (/.f64 #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(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 (pow.f64 #s(approx (- ( (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.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)) #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 #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)))
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(-.f64 (/.f64 (pow.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 3 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(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 #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(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 (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)))
(-.f64 (/.f64 (pow.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 3 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)) #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 (+.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)) #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 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #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))) (neg.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))))
(+.f64 (/.f64 (pow.f64 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 3 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)) #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (pow.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)) #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 #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #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 #s(literal 1 binary64) #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 (log.f64 n) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 n))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 n) #s(literal -1 binary64) #s(literal 1 binary64))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #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)) (pow.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #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 (+.f64 #s(literal 1 binary64) (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)) (pow.f64 (fma.f64 (log.f64 n) (log.f64 n) (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal -1 binary64)))
(*.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.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 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (log.f64 n))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (log.f64 n) (log.f64 n) (-.f64 #s(literal 1 binary64) (log.f64 n))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64))) (.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 n)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (log.f64 n) #s(literal -1 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (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 (+.f64 #s(literal 1 binary64) (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))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (log.f64 n)) (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64)) #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)) (fma.f64 (log.f64 n) #s(literal -1 binary64) #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 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64))))
(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 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (log.f64 n))

eval26.0ms (0.4%)

Memory: -1.1MiB live, 35.1MiB allocated
Compiler: Compiled 8 079 to 648 computations (92% saved)

prune3.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	191	3	194

Accuracy

100.0%

Counts

194 → 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))

▶

5.0%

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (+ (/ 1/2 n) (log 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)

simplify55.0ms (0.9%)

Memory

2.3MiB live, 41.2MiB 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 (+ (/ 1/2 n) (log n)) (/.f64 #s(literal 1/2 binary64) n))
cost-diff	0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (+ (/ 1/2 n) (log n)) (/.f64 #s(literal 1/2 binary64) n)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
0	19	62
1	35	62
2	63	62
3	127	62
4	261	62
5	495	62
6	854	62
7	1195	62
8	1406	62
9	1462	62
10	1484	62
11	1507	62
12	1516	62
0	1516	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 (+ (/ 1/2 n) (log n)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (+ (/ 1/2 n) (log 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 (+ (/ 1/2 n) (log n)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (+ (/ 1/2 n) (log 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

localize122.0ms (2%)

Memory

1.8MiB live, 130.6MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 n)
accuracy	0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
accuracy	0	(/.f64 #s(literal 1/2 binary64) n)
accuracy	0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (+ (/ 1/2 n) (log n)) (/.f64 #s(literal 1/2 binary64) n)))
accuracy	60.82086150484836	#s(approx (+ (/ 1/2 n) (log n)) (/.f64 #s(literal 1/2 binary64) n))

Samples

113.0ms

256×

valid

Compiler

Compiled 108 to 32 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-log1p: 20.0ms (28.5% of total)

ival-log: 18.0ms (25.7% of total)

ival-sub: 10.0ms (14.3% of total)

adjust: 8.0ms (11.4% of total)

ival-mult: 7.0ms (10% of total)

ival-add: 5.0ms (7.1% of total)

ival-div: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory

-9.0MiB live, 30.0MiB allocated

Counts

5 → 15

Calls

Call 1

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

8.0ms

inf

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

7.0ms

-inf

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

6.0ms

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

simplify225.0ms (3.7%)

Memory

28.6MiB live, 103.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	153
1	164	143
2	387	138
3	948	136
4	2611	132
5	4935	132
6	6174	128
7	7355	128
8	7791	128
9	7946	128
10	7980	128
0	8052	122

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

rewrite230.0ms (3.8%)

Memory

-6.3MiB live, 118.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
0	19	59
1	89	59
2	727	59
0	8410	53

Stop Event

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

Counts

5 → 25

Calls

Call 1

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

eval34.0ms (0.6%)

Memory: -35.2MiB live, 4.1MiB allocated
Compiler: Compiled 987 to 133 computations (86.5% saved)

prune3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	38	3	41

Accuracy

100.0%

Counts

41 → 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))

✓

5.0%

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(approx (+ (/ 1/2 n) (log 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 70 computations (60.9% saved)

regimes7.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB 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 (+ (/ 1/2 n) (log 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 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))

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

Calls

3 calls:

3.0ms

2.0ms

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

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))

Results

Accuracy	Segments	Branch
100.0%	1	`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	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB 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 (+ (/ 1/2 n) (log n)) (/.f64 #s(literal 1/2 binary64) n)))

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

Calls

3 calls:

2.0ms

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
5.0%	1	`n`
5.0%	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))`
5.0%	1	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes4.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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	`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	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`

Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify34.0ms (0.6%)

Memory

-16.6MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	61
1	22	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 (+ (/ 1/2 n) (log 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 (+ (/ 1/2 n) (log n)) (/.f64 #s(literal 1/2 binary64) n)))

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

soundness510.0ms (8.4%)

Memory

28.5MiB live, 182.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	656
1	496	592
2	1409	569
3	4863	553
0	8508	524
0	83	324
1	216	300
2	555	290
3	1550	286
4	4475	278
5	6790	278
0	8039	265

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)

preprocess77.0ms (1.3%)

Memory: -12.2MiB live, 74.9MiB allocated
Compiler: Compiled 200 to 92 computations (54% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample3.0s (50%)

explain419.0ms (6.9%)

preprocess74.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify37.0ms (0.6%)

localize109.0ms (1.8%)

series57.0ms (0.9%)

simplify147.0ms (2.4%)

rewrite175.0ms (2.9%)

eval79.0ms (1.3%)

prune9.0ms (0.1%)

simplify56.0ms (0.9%)

localize101.0ms (1.7%)

series21.0ms (0.3%)

simplify174.0ms (2.9%)

rewrite205.0ms (3.4%)

eval26.0ms (0.4%)

prune3.0ms (0.1%)

simplify55.0ms (0.9%)

localize122.0ms (2%)

series22.0ms (0.4%)

simplify225.0ms (3.7%)

rewrite230.0ms (3.8%)

eval34.0ms (0.6%)

prune3.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify34.0ms (0.6%)

soundness510.0ms (8.4%)

preprocess77.0ms (1.3%)

end0.0ms (0%)

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