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)

sample2.9s (50.7%)

Memory

67.2MiB live, 2 549.9MiB allocated

Samples

2.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-log1p: 696.0ms (30.8% of total)

ival-log: 606.0ms (26.9% of total)

adjust: 270.0ms (12% of total)

ival-mult: 225.0ms (10% of total)

ival-sub: 215.0ms (9.5% of total)

ival-add: 194.0ms (8.6% of total)

ival->: 33.0ms (1.5% of total)

exact: 12.0ms (0.5% of total)

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

Bogosity

explain388.0ms (6.7%)

Memory

-25.4MiB live, 334.3MiB 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	255	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	1	0
↳	`(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))`	overflow	1
↳	`(*.f64 n (log.f64 n))`	overflow	1

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: 119.0ms

ival-log: 37.0ms (31% of total)

ival-log1p: 37.0ms (31% of total)

adjust: 15.0ms (12.6% of total)

ival-mult: 15.0ms (12.6% 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)

preprocess105.0ms (1.8%)

Memory

-14.7MiB live, 30.9MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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

34.3MiB live, 34.3MiB 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)

localize97.0ms (1.7%)

Memory

-14.2MiB live, 60.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 n)
accuracy	0.265625	(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
accuracy	0.265625	(*.f64 n (log.f64 n))
accuracy	62.00995413787499	(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))

Samples

86.0ms

256×

valid

Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions

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

ival-log: 26.0ms (36.3% of total)

ival-log1p: 19.0ms (26.5% of total)

adjust: 11.0ms (15.4% of total)

ival-mult: 7.0ms (9.8% of total)

ival-sub: 5.0ms (7% of total)

ival-add: 3.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (1.2%)

Memory

-13.7MiB live, 66.4MiB allocated

Counts

7 → 50

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))))
(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)
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))))))
(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)))
(* 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
38.0ms	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))) (log n))
21.0ms	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))) (log n))
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))) (log n))

Time

Variable

Point

Expression

38.0ms

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

21.0ms

-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))) (log n))

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))) (log n))

simplify135.0ms (2.3%)

Memory

15.6MiB live, 124.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	656
1	496	594
2	1409	571
3	4863	555
0	8508	526

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

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))))))
(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)))
(* 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)
(log n)
(log.f64 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)))))

rewrite257.0ms (4.4%)

Memory

4.3MiB live, 128.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	16	49
1	66	49
2	516	49
0	8397	40

Stop Event

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

Counts

7 → 500

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))))
(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 (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))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(+.f64 (log.f64 n) #s(literal 0 binary64))
(log.f64 n)

eval99.0ms (1.7%)

Memory: -7.7MiB live, 107.6MiB allocated
Compiler: Compiled 19 648 to 2 117 computations (89.2% saved)

prune8.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	613	2	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	614	2	616

Accuracy

100.0%

Counts

616 → 2

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))
▶	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))

▶

1.6%

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify48.0ms (0.8%)

Memory

-20.1MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 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	#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	15	64
0	18	64
1	34	64
2	63	64
3	130	64
4	264	64
5	499	64
6	854	64
7	1204	64
8	1412	64
9	1439	64
10	1454	64
11	1460	64
0	1460	52

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)
(-.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)
(-.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)

localize106.0ms (1.8%)

Memory

7.3MiB live, 88.7MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(-.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	(+.f64 (log.f64 n) #s(literal 1 binary64))
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	63.004326795392096	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Samples

96.0ms

256×

valid

Compiler

Compiled 118 to 29 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-log: 20.0ms (30% of total)

ival-log1p: 19.0ms (28.5% of total)

adjust: 10.0ms (15% of total)

ival-mult: 7.0ms (10.5% of total)

ival-add: 5.0ms (7.5% of total)

ival-sub: 4.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory

-4.7MiB live, 33.2MiB allocated

Counts

5 → 26

Calls

Call 1

Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #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)))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(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)
(* 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))
(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
13.0ms	n	@	-inf	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+ (log n) 1) (log n))
6.0ms	n	@	inf	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+ (log n) 1) (log n))
6.0ms	n	@	0	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+ (log n) 1) (log n))

Time

Variable

Point

Expression

13.0ms

-inf

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

6.0ms

inf

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

6.0ms

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

simplify147.0ms (2.5%)

Memory

11.5MiB live, 132.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	313
1	211	289
2	550	279
3	1551	275
4	4471	267
5	6781	267
0	8019	255

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

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)
(* 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))
(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))
(* 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))
(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))
(+ 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))

rewrite131.0ms (2.3%)

Memory

22.8MiB live, 130.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	61
0	18	61
1	89	61
2	726	61
0	8632	54

Stop Event

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

Counts

5 → 103

Calls

Call 1

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

Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
(.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))))))
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(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(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)))))
(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 3 binary64)) #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)))))
(fma.f64 (/.f64 #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(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))))
(fma.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)) (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)) (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))))
(fma.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)) (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)) (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))))
(fma.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))
(fma.f64 #s(literal 1 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 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 (neg.f64 (fma.f64 (log.f64 n) (log.f64 n) #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 (neg.f64 (fma.f64 (log.f64 n) (log.f64 n) #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 (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 (.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (log.f64 n) (log.f64 n) #s(literal 1 binary64)) (-.f64 (log.f64 n) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (-.f64 (log.f64 n) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.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 (.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 6 binary64)) #s(literal 1 binary64)) (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 (.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 (neg.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)))
(/.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 (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)) (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))
(*.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)

eval33.0ms (0.6%)

Memory: -31.7MiB live, 21.1MiB allocated
Compiler: Compiled 6 276 to 475 computations (92.4% saved)

prune2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	127	2	129

Accuracy

100.0%

Counts

129 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify39.0ms (0.7%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
0	12	21
1	27	21
2	55	21
3	122	21
4	256	21
5	495	21
6	848	21
7	1196	21
8	1392	21
9	1409	21
0	1409	17

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) (log.f64 n))
(log.f64 n)
n

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

localize94.0ms (1.6%)

Memory

4.8MiB live, 81.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(log.f64 n)
accuracy	0	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))

Samples

72.0ms

256×

valid

Compiler

Compiled 41 to 22 computations (46.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-log1p: 19.0ms (30.1% of total)

ival-log: 17.0ms (27% of total)

ival-mult: 10.0ms (15.9% of total)

adjust: 7.0ms (11.1% of total)

ival-sub: 6.0ms (9.5% of total)

ival-add: 3.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory

-0.8MiB live, 37.9MiB allocated

Counts

2 → 13

Calls

Call 1

Inputs
#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)
(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
9.0ms	n	@	0	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n))
7.0ms	n	@	-inf	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n))
6.0ms	n	@	inf	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n))

simplify232.0ms (4%)

Memory

-20.7MiB live, 130.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	142
1	159	130
2	382	125
3	949	123
4	2613	119
5	4910	119
6	6112	119
7	7139	119
8	7556	119
9	7774	119
10	7914	119
11	7914	119
0	8029	113

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

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)
(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))
(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))

rewrite332.0ms (5.7%)

Memory

18.6MiB live, 148.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
0	12	20
1	62	20
2	512	20
0	8387	17

Stop Event

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

Counts

2 → 4

Calls

Call 1

Inputs
#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) (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: 1.9MiB live, 1.9MiB allocated
Compiler: Compiled 382 to 62 computations (83.8% saved)

prune36.0ms (0.6%)

Memory

-35.0MiB live, 3.3MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	16	2	18

Accuracy

100.0%

Counts

18 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 105 to 45 computations (57.1% saved)

regimes6.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

7.0MiB live, 7.0MiB 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)

simplify42.0ms (0.7%)

Memory

0.7MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	16	35

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(literal -1 binary64))

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

soundness286.0ms (5%)

Memory

17.6MiB live, 129.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	313
1	211	289
2	550	279
3	1551	275
4	4471	267
5	6781	267
0	8019	255
0	157	656
1	496	594
2	1409	571
3	4863	555
0	8508	526

Stop Event

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

Compiler

Compiled 39 to 19 computations (51.3% saved)

preprocess70.0ms (1.2%)

Memory: -16.7MiB live, 64.5MiB allocated
Compiler: Compiled 148 to 78 computations (47.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.9s (50.7%)

explain388.0ms (6.7%)

preprocess105.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify37.0ms (0.6%)

localize97.0ms (1.7%)

series66.0ms (1.2%)

simplify135.0ms (2.3%)

rewrite257.0ms (4.4%)

eval99.0ms (1.7%)

prune8.0ms (0.1%)

simplify48.0ms (0.8%)

localize106.0ms (1.8%)

series26.0ms (0.4%)

simplify147.0ms (2.5%)

rewrite131.0ms (2.3%)

eval33.0ms (0.6%)

prune2.0ms (0%)

simplify39.0ms (0.7%)

localize94.0ms (1.6%)

series23.0ms (0.4%)

simplify232.0ms (4%)

rewrite332.0ms (5.7%)

eval2.0ms (0%)

prune36.0ms (0.6%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

simplify42.0ms (0.7%)

soundness286.0ms (5%)

preprocess70.0ms (1.2%)

end0.0ms (0%)

Profiling