Metrics for logs (example 3.8)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample2.8s (57%)

Memory

42.4MiB live, 3 250.0MiB allocated

Samples

2.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-log1p: 673.0ms (32.2% of total)

ival-log: 622.0ms (29.7% of total)

ival-mult: 266.0ms (12.7% of total)

adjust: 229.0ms (10.9% of total)

ival-sub: 161.0ms (7.7% of total)

ival-add: 94.0ms (4.5% of total)

ival->: 35.0ms (1.7% of total)

exact: 10.0ms (0.5% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain282.0ms (5.7%)

Memory

-3.9MiB live, 199.3MiB 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	250	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	6	0
↳	`(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))`	overflow	6
↳	`(*.f64 n (log.f64 n))`	overflow	6

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

139.0ms

512×

valid

Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-log1p: 39.0ms (33.6% of total)

ival-log: 36.0ms (31% of total)

adjust: 14.0ms (12% of total)

ival-mult: 13.0ms (11.2% of total)

ival-sub: 8.0ms (6.9% of total)

ival-add: 5.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess81.0ms (1.6%)

Memory

1.0MiB live, 73.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 408×	`lower-fma.f64`
1 408×	`lower-fma.f32`
360×	`lower-+.f32`
360×	`lower--.f32`
358×	`lower-+.f64`

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify40.0ms (0.8%)

Memory

13.2MiB live, 50.5MiB 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)))

Rules

1 408×	`lower-fma.f64`
1 408×	`lower-fma.f32`
360×	`lower-+.f32`
360×	`lower--.f32`
358×	`lower-+.f64`

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)

localize111.0ms (2.2%)

Memory

-57.0MiB live, 143.0MiB 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	0.234375	(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
accuracy	0.234375	(*.f64 n (log.f64 n))
accuracy	62.00952698795633	(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))

Samples

96.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-log1p: 36.0ms (42.4% of total)

ival-log: 17.0ms (20% of total)

ival-add: 11.0ms (12.9% of total)

ival-sub: 8.0ms (9.4% of total)

adjust: 7.0ms (8.2% of total)

ival-mult: 6.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

series263.0ms (5.3%)

Memory

17.3MiB live, 135.0MiB 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
189.0ms	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))))
56.0ms	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))))
16.0ms	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

189.0ms

((- (* (+ 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))))

56.0ms

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))))

16.0ms

-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))))

simplify157.0ms (3.1%)

Memory

2.0MiB live, 120.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 630×	`lower-fma.f64`
12 630×	`lower-fma.f32`
3 314×	`lower-+.f64`
3 314×	`lower-+.f32`
2 944×	`lower--.f64`

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)))))

rewrite157.0ms (3.1%)

Memory

1.5MiB live, 124.5MiB allocated

Rules

8 652×	`lower-fma.f64`
8 652×	`lower-fma.f32`
5 492×	`lower-*.f32`
5 488×	`lower-*.f64`
3 876×	`lower-/.f64`

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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eval112.0ms (2.2%)

Memory: 5.3MiB live, 114.6MiB allocated
Compiler: Compiled 19 610 to 2 105 computations (89.3% saved)

prune56.0ms (1.1%)

Memory

-14.4MiB live, 41.8MiB 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 (0.8%)

Memory

2.7MiB live, 40.4MiB 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))

Rules

1 408×	`lower-fma.f64`
1 408×	`lower-fma.f32`
360×	`lower-+.f64`
360×	`lower--.f64`
360×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	14	39
1	28	39
2	56	39
3	123	39
4	257	39
5	494	39
6	849	39
7	1198	39
8	1394	39
9	1411	39
0	1411	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

localize130.0ms (2.6%)

Memory

-5.9MiB live, 68.3MiB 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	63.00435091122525	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Samples

73.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

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

ival-log1p: 25.0ms (40.3% of total)

ival-log: 17.0ms (27.4% of total)

adjust: 7.0ms (11.3% of total)

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

ival-sub: 4.0ms (6.4% 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)

series29.0ms (0.6%)

Memory

-3.2MiB live, 38.3MiB 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>) () ())

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

15.0ms

-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))

simplify220.0ms (4.4%)

Memory

46.4MiB live, 154.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 742×	`lower-fma.f64`
13 742×	`lower-fma.f32`
2 484×	`lower-+.f64`
2 484×	`lower-+.f32`
2 332×	`lower-*.f64`

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)))

rewrite207.0ms (4.1%)

Memory

-42.2MiB live, 201.6MiB allocated

Rules

8 652×	`lower-fma.f64`
8 652×	`lower-fma.f32`
5 492×	`lower-*.f64`
5 492×	`lower-*.f32`
3 876×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
0	14	37
1	63	37
2	513	37
0	8392	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: 8.1MiB live, 8.1MiB allocated
Compiler: Compiled 328 to 56 computations (82.9% saved)

prune3.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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

9.9MiB live, 9.9MiB 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

8.1MiB live, 8.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms

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

1.0ms

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

Results

Accuracy	Segments	Branch
1.6%	1	`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)

simplify27.0ms (0.5%)

Memory

-20.8MiB live, 53.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

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))

soundness182.0ms (3.6%)

Memory

-16.7MiB live, 113.9MiB allocated

Rules

12 630×	`lower-fma.f64`
12 630×	`lower-fma.f32`
3 314×	`lower-+.f64`
3 314×	`lower-+.f32`
2 944×	`lower--.f64`

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)

preprocess35.0ms (0.7%)

Memory: 37.9MiB live, 76.9MiB 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%)

sample2.8s (57%)

explain282.0ms (5.7%)

preprocess81.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify40.0ms (0.8%)

localize111.0ms (2.2%)

series263.0ms (5.3%)

simplify157.0ms (3.1%)

rewrite157.0ms (3.1%)

eval112.0ms (2.2%)

prune56.0ms (1.1%)

simplify40.0ms (0.8%)

localize130.0ms (2.6%)

series29.0ms (0.6%)

simplify220.0ms (4.4%)

rewrite207.0ms (4.1%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify27.0ms (0.5%)

soundness182.0ms (3.6%)

preprocess35.0ms (0.7%)

end0.0ms (0%)

Profiling