Metrics for logs (example 3.8)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	23.7%	76.3%	0%	0%	0%	0
100%	23.7%	0%	76.3%	0%	0%	0%	1

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample3.4s (59.5%)

Memory

-92.0MiB live, 3 175.1MiB allocated

Samples

3.0s

8 256×

valid

Precisions

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

ival-log1p: 978.0ms (37.7% of total)

ival-log: 611.0ms (23.6% of total)

ival-mult: 339.0ms (13.1% of total)

adjust: 268.0ms (10.3% of total)

ival-sub: 184.0ms (7.1% of total)

ival-add: 122.0ms (4.7% of total)

ival->: 76.0ms (2.9% of total)

exact: 11.0ms (0.4% of total)

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

Bogosity

explain320.0ms (5.6%)

Memory

-21.9MiB live, 383.0MiB 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

187.0ms

512×

valid

Compiler

Compiled 172 to 40 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-log1p: 67.0ms (41.9% of total)

ival-log: 48.0ms (30% of total)

adjust: 15.0ms (9.4% of total)

ival-mult: 13.0ms (8.1% of total)

ival-sub: 10.0ms (6.3% of total)

ival-add: 5.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess86.0ms (1.5%)

Memory

17.2MiB live, 60.2MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify49.0ms (0.9%)

Memory

-24.2MiB live, 51.1MiB 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)

localize165.0ms (2.9%)

Memory

-11.2MiB live, 111.4MiB 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	0.2734375	(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
accuracy	0.2734375	(*.f64 n (log.f64 n))
accuracy	62.010074820486395	(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))

Samples

150.0ms

256×

valid

Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-log1p: 23.0ms (37.2% of total)

ival-log: 17.0ms (27.5% of total)

adjust: 7.0ms (11.3% of total)

ival-mult: 6.0ms (9.7% of total)

ival-sub: 4.0ms (6.5% of total)

ival-add: 3.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series90.0ms (1.6%)

Memory

11.6MiB live, 48.2MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())
#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (* n (- 1 (log n))) (taylor 0 n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ 1 (* 1/2 n)) (log n))) (taylor 0 n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) (taylor 0 n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n))) (taylor 0 n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1/2 n))) (taylor 0 n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* n (- (* 1/3 n) 1/2)))) (taylor 0 n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2)))) (taylor 0 n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- 1 (log n))) 1) (taylor 0 n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1) (taylor 0 n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1) (taylor 0 n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 n) (taylor 0 n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 n) (taylor 0 n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 n) (taylor 0 n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* n (log n)) (taylor 0 n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* n (log n)) (taylor 0 n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* n (log n)) (taylor 0 n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* n (log n)) (taylor 0 n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* 1/2 n))) (taylor 0 n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* n (+ 1/2 (* -1/6 n))))) (taylor 0 n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6)))))) (taylor 0 n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (log (/ 1 n)))) (taylor inf n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (taylor inf n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2))) (taylor inf n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2))) (taylor inf n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 n))) (taylor inf n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 n))) (/ 1 n)) (taylor inf n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2))) (taylor inf n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))) (taylor inf n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 n))) (taylor inf n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (taylor inf n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2))) (taylor inf n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2))) (taylor inf n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ 1 n))) (taylor inf n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ 1 n))) (taylor inf n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ 1 n))) (taylor inf n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (log (/ 1 n)))) (taylor inf n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (log (/ 1 n)))) (taylor inf n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (log (/ 1 n)))) (taylor inf n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (log (/ 1 n)))) (taylor inf n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (log (/ 1 n)))) (taylor inf n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n)))) (taylor inf n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n))))) (taylor inf n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3))))) (taylor inf n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) (taylor -inf n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) (taylor -inf n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))) (taylor -inf n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))) (taylor -inf n) (#s(alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) (patch (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 n)))) (taylor -inf n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n))) (taylor -inf n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n)))) (taylor -inf n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n)))) (taylor -inf n) (#s(alt (log.f64 (+.f64 n #s(literal 1 binary64))) (patch (log.f64 (+.f64 n #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 n)))) (taylor -inf n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))) (taylor -inf n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))) (taylor -inf n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))) (taylor -inf n) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ 1 n))) (taylor -inf n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ 1 n))) (taylor -inf n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ 1 n))) (taylor -inf n) (#s(alt (+.f64 n #s(literal 1 binary64)) (patch (+.f64 n #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log -1) (* -1 (log (/ -1 n))))) (taylor -inf n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log -1) (* -1 (log (/ -1 n))))) (taylor -inf n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log -1) (* -1 (log (/ -1 n))))) (taylor -inf n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log -1) (* -1 (log (/ -1 n))))) (taylor -inf n) (#s(alt (.f64 n (log.f64 n)) (patch (.f64 n (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log -1) (* -1 (log (/ -1 n))))) (taylor -inf n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))))) (taylor -inf n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))))) (taylor -inf n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -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))))) (taylor -inf n) (#s(alt (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (patch (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
43.0ms	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))))
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))))
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

43.0ms

-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))))

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))))

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))))

simplify144.0ms (2.5%)

Memory

25.8MiB live, 108.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	760
1	496	689
2	1409	666
3	4863	650
0	8508	621

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 68

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

rewrite229.0ms (4%)

Memory

-23.3MiB live, 170.0MiB 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
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eval106.0ms (1.9%)

Memory: 4.5MiB live, 153.1MiB allocated
Compiler: Compiled 19 610 to 2 105 computations (89.3% saved)

prune9.0ms (0.2%)

Memory

38.5MiB live, 38.6MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	639	2	641
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	640	2	642

Accuracy

100.0%

Counts

642 → 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 5 to 6 computations (-20% saved)

simplify40.0ms (0.7%)

Memory

0.2MiB live, 75.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 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	#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	13	39
0	14	39
1	28	39
2	56	39
3	120	39
4	255	39
5	481	39
6	830	39
7	1164	39
8	1357	39
9	1374	39
0	1374	31

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

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

localize92.0ms (1.6%)

Memory

-34.9MiB live, 133.9MiB allocated

Localize:

Found 3 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	63.00443581265577	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Samples

82.0ms

256×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-log1p: 25.0ms (36.4% of total)

ival-log: 19.0ms (27.7% of total)

ival-mult: 10.0ms (14.6% of total)

adjust: 7.0ms (10.2% of total)

ival-sub: 4.0ms (5.8% of total)

ival-add: 3.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())
#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())

Inputs

#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())

#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())

#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- 1 (log n))) 1) (taylor 0 n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1) (taylor 0 n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1) (taylor 0 n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- 1 (log n))) 1) (taylor 0 n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1) (taylor 0 n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1) (taylor 0 n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (log n) (taylor 0 n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (log n) (taylor 0 n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (log n) (taylor 0 n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (log n) (taylor 0 n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 n))) (taylor inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (taylor inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2))) (taylor inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2))) (taylor inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 n))) (taylor inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (taylor inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2))) (taylor inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2))) (taylor inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 n))) (taylor inf n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 n))) (taylor inf n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 n))) (taylor inf n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 n))) (taylor inf n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 n)))) (taylor -inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))) (taylor -inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))) (taylor -inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))) (taylor -inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 n)))) (taylor -inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))) (taylor -inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))) (taylor -inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))) (taylor -inf n) (#s(alt #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) (patch #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 n)))) (taylor -inf n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 n)))) (taylor -inf n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 n)))) (taylor -inf n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 n)))) (taylor -inf n) (#s(alt (log.f64 n) (patch (log.f64 n) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	n	@	-inf	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* 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) (log n))
6.0ms	n	@	0	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n))

Time

Variable

Point

Expression

6.0ms

-inf

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

6.0ms

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

simplify267.0ms (4.7%)

Memory

-32.2MiB live, 60.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	328
1	159	300
2	382	290
3	957	286
4	2620	274
5	4930	274
6	6112	274
7	7139	274
8	7558	274
9	7776	274
10	7916	274
11	7916	274
0	8031	262

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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

rewrite301.0ms (5.3%)

Memory

10.6MiB live, 84.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
0	14	37
1	63	37
2	513	37
0	8385	31

Stop Event

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

Counts

3 → 5

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))
(log.f64 n)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval3.0ms (0.1%)

Memory: 3.7MiB live, 3.7MiB allocated
Compiler: Compiled 328 to 56 computations (82.9% saved)

prune3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	41	2	43

Accuracy

100.0%

Counts

43 → 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 25 to 18 computations (28% saved)

regimes5.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

2.0ms

1.0ms

(-.f64 (*.f64 (+.f64 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
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

3.7MiB live, 3.7MiB 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)

simplify59.0ms (1%)

Memory

-19.4MiB live, 27.7MiB 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))

soundness240.0ms (4.2%)

Memory

-12.7MiB live, 103.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	760
1	496	689
2	1409	666
3	4863	650
0	8508	621

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 8 to 9 computations (-12.5% saved)

preprocess66.0ms (1.2%)

Memory: 1.3MiB live, 44.2MiB allocated
Compiler: Compiled 88 to 62 computations (29.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample3.4s (59.5%)

explain320.0ms (5.6%)

preprocess86.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify49.0ms (0.9%)

localize165.0ms (2.9%)

series90.0ms (1.6%)

simplify144.0ms (2.5%)

rewrite229.0ms (4%)

eval106.0ms (1.9%)

prune9.0ms (0.2%)

simplify40.0ms (0.7%)

localize92.0ms (1.6%)

series20.0ms (0.3%)

simplify267.0ms (4.7%)

rewrite301.0ms (5.3%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify59.0ms (1%)

soundness240.0ms (4.2%)

preprocess66.0ms (1.2%)

end0.0ms (0%)

Profiling