Metrics for Jmat.Real.lambertw, estimator

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample628.0ms (25.7%)

Memory

32.5MiB live, 1 264.8MiB allocated

Samples

429.0ms	8 256×	0	valid
1.0ms	11×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-log: 204.0ms (79% of total)

ival-sub: 45.0ms (17.4% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain62.0ms (2.5%)

Memory

-21.5MiB live, 139.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(log.f64 (log.f64 x))`
-	-	`(log.f64 x)`
-	-	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 12.0ms (80% of total)

ival-sub: 2.0ms (13.3% of total)

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

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

preprocess19.0ms (0.8%)

Memory

2.3MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
34×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	14	17
2	33	16
3	61	16
4	106	16
5	152	16
6	169	16
7	177	16
0	4	6
0	7	6
1	9	6
2	14	6
3	20	6
4	28	6
5	43	6
6	76	6
7	101	6
8	143	6
9	158	6
10	166	6
0	166	6

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0.3%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 (log.f64 x))
cost-diff	0	(log.f64 x)
cost-diff	0	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	7	12
1	9	12
2	14	12
3	20	12
4	28	12
5	43	12
6	76	12
7	101	12
8	143	12
9	158	12
10	166	12
0	166	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(log.f64 (log.f64 x))

Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(log.f64 (log.f64 x))

localize20.0ms (0.8%)

Memory

4.1MiB live, 45.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 x)
accuracy	0.03125	(log.f64 (log.f64 x))
accuracy	0.296875	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Samples

15.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 7.0ms (69.8% of total)

ival-sub: 3.0ms (29.9% of total)

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

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

series124.0ms (5.1%)

Memory

-5.6MiB live, 267.8MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())

Inputs

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

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

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

Outputs
#s(alt (- (log x) (log (log x))) (taylor 0 x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (log x) (log (log x))) (taylor 0 x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (log x) (log (log x))) (taylor 0 x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (log x) (log (log x))) (taylor 0 x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	((- (log x) (log (log x))) (log x) (log (log x)))
47.0ms	x	@	-inf	((- (log x) (log (log x))) (log x) (log (log x)))
28.0ms	x	@	inf	((- (log x) (log (log x))) (log x) (log (log x)))

simplify21.0ms (0.9%)

Memory

-10.1MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
160×	`lower-*.f64`
160×	`lower-*.f32`
136×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	228
1	34	212
2	60	212
3	125	212
4	243	212
5	342	212
6	442	212
7	486	212
8	493	212
0	493	212

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(- (log x) (log (log x)))
(- (log x) (log (log x)))
(- (log x) (log (log x)))
(- (log x) (log (log x)))
(log x)
(log x)
(log x)
(log x)
(log (log x))
(log (log x))
(log (log x))
(log (log x))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))

Outputs
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))

rewrite117.0ms (4.8%)

Memory

12.1MiB live, 208.7MiB allocated

Rules

4 954×	`lower-fma.f64`
4 954×	`lower-fma.f32`
3 078×	`lower-/.f64`
3 078×	`lower-/.f32`
2 794×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	10
1	24	10
2	150	10
3	1399	10
0	9715	10

Stop Event

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

Counts

3 → 249

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
(log.f64 (log.f64 x))

Outputs
#<batchref>
#<batchref>
#<batchref>
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eval39.0ms (1.6%)

Memory: -7.8MiB live, 112.0MiB allocated
Compiler: Compiled 9 051 to 704 computations (92.2% saved)

prune7.0ms (0.3%)

Memory

-11.3MiB live, 28.4MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	321	2	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	322	2	324

Accuracy

100.0%

Counts

324 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
▶	25.0%	(log.f64 (*.f64 (log.f64 x) x))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify4.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 x)
cost-diff	0	(/.f64 (log.f64 x) x)
cost-diff	0	(log.f64 (/.f64 (log.f64 x) x))
cost-diff	0	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
cost-diff	0	(log.f64 x)
cost-diff	0	(*.f64 (log.f64 x) x)
cost-diff	0	(log.f64 (*.f64 (log.f64 x) x))

Rules

8×	`lower-+.f64`
8×	`lower-*.f32`
8×	`lower-+.f32`
6×	`lower-*.f64`
6×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
0	13	30
1	18	30
2	20	30
3	22	30
4	24	30
5	28	30
6	33	30
0	33	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 (log.f64 x) x))
(/.f64 (log.f64 x) x)
(log.f64 x)
x

Outputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 (log.f64 x) x))
(/.f64 (log.f64 x) x)
(log.f64 x)
x

localize28.0ms (1.1%)

Memory

17.9MiB live, 57.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
accuracy	0	(log.f64 (/.f64 (log.f64 x) x))
accuracy	0	(log.f64 x)
accuracy	0.2578125	(/.f64 (log.f64 x) x)
accuracy	0	(log.f64 x)
accuracy	0.296875	(*.f64 (log.f64 x) x)
accuracy	0.4842711682609965	(log.f64 (*.f64 (log.f64 x) x))

Samples

21.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 10.0ms (68.4% of total)

ival-div: 2.0ms (13.7% of total)

ival-mult: 2.0ms (13.7% of total)

ival-neg: 1.0ms (6.8% of total)

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

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

series110.0ms (4.5%)

Memory

5.2MiB live, 201.2MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())

Outputs
#s(alt (+ (log x) (log (log x))) (taylor 0 x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (log x))) (taylor 0 x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (log x))) (taylor 0 x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (log x))) (taylor 0 x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (.f64 (log.f64 x) x)) (patch (log.f64 (.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 x) x) (patch (.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

46.0ms

((log (* (log x) x)) (* (log x) x) (log x) (neg (log (/ (log x) x))) (log (/ (log x) x)) (/ (log x) x))

37.0ms

-inf

((log (* (log x) x)) (* (log x) x) (log x) (neg (log (/ (log x) x))) (log (/ (log x) x)) (/ (log x) x))

26.0ms

inf

((log (* (log x) x)) (* (log x) x) (log x) (neg (log (/ (log x) x))) (log (/ (log x) x)) (/ (log x) x))

simplify41.0ms (1.7%)

Memory

-11.6MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Rules

736×	`lower-fma.f64`
736×	`lower-fma.f32`
448×	`lower-*.f64`
448×	`lower-*.f32`
240×	`div-sub`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	34	548
1	96	504
2	172	484
3	311	484
4	602	484
5	937	484
6	1428	456
7	1600	456
8	1611	456
0	1611	456

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

Inputs
(+ (log x) (log (log x)))
(+ (log x) (log (log x)))
(+ (log x) (log (log x)))
(+ (log x) (log (log x)))
(* x (log x))
(* x (log x))
(* x (log x))
(* x (log x))
(log x)
(log x)
(log x)
(log x)
(* -1 (+ (log (log x)) (* -1 (log x))))
(* -1 (+ (log (log x)) (* -1 (log x))))
(* -1 (+ (log (log x)) (* -1 (log x))))
(* -1 (+ (log (log x)) (* -1 (log x))))
(+ (log (log x)) (* -1 (log x)))
(+ (log (log x)) (* -1 (log x)))
(+ (log (log x)) (* -1 (log x)))
(+ (log (log x)) (* -1 (log x)))
(/ (log x) x)
(/ (log x) x)
(/ (log x) x)
(/ (log x) x)
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(* -1 (/ (log (/ 1 x)) x))
(* -1 (/ (log (/ 1 x)) x))
(* -1 (/ (log (/ 1 x)) x))
(* -1 (/ (log (/ 1 x)) x))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)

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

rewrite169.0ms (6.9%)

Memory

-7.4MiB live, 182.1MiB allocated

Rules

3 776×	`lower-*.f32`
3 774×	`lower-*.f64`
3 614×	`lower-fma.f64`
3 614×	`lower-fma.f32`
3 226×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	26
0	13	26
1	31	25
2	118	25
3	778	25
4	7873	25
0	8899	25

Stop Event

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

Counts

6 → 945

Calls

Call 1

Inputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 (log.f64 x) x))
(/.f64 (log.f64 x) x)

Outputs
#<batchref>
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eval136.0ms (5.6%)

Memory: 38.9MiB live, 228.5MiB allocated
Compiler: Compiled 22 977 to 2 346 computations (89.8% saved)

prune24.0ms (1%)

Memory

-27.8MiB live, 67.5MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	1 065	1	1 066
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	1 065	3	1 068

Accuracy

100.0%

Counts

1 068 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
▶	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	25.0%	(log.f64 (*.f64 (log.f64 x) x))

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 x)
cost-diff	0	(/.f64 x (log.f64 x))
cost-diff	0	(log.f64 (/.f64 x (log.f64 x)))

Rules

4×	`lift-log.f64`
4×	`lower-log.f32`
2×	`lift-/.f64`
2×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	7	12
0	7	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)

Outputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)

localize22.0ms (0.9%)

Memory

-12.4MiB live, 62.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 x)
accuracy	0.00390625	(log.f64 (/.f64 x (log.f64 x)))
accuracy	0.27734375	(/.f64 x (log.f64 x))

Samples

14.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log: 6.0ms (72.9% of total)

ival-div: 2.0ms (24.3% of total)

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

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

series132.0ms (5.4%)

Memory

38.8MiB live, 193.1MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

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

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

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

Outputs
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
77.0ms	x	@	-inf	((log (/ x (log x))) (/ x (log x)) (log x))
30.0ms	x	@	inf	((log (/ x (log x))) (/ x (log x)) (log x))
25.0ms	x	@	0	((log (/ x (log x))) (/ x (log x)) (log x))

simplify28.0ms (1.2%)

Memory

-24.2MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Rules

352×	`lower-fma.f64`
352×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
136×	`lower-+.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	25	244
1	42	220
2	65	220
3	151	220
4	322	220
5	503	220
6	674	204
7	846	200
8	885	200
9	896	200
10	897	200
0	897	200

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(/ x (log x))
(/ x (log x))
(/ x (log x))
(/ x (log x))
(log x)
(log x)
(log x)
(log x)
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))

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

rewrite130.0ms (5.3%)

Memory

17.3MiB live, 175.1MiB allocated

Rules

3 778×	`lower-*.f64`
3 778×	`lower-*.f32`
3 560×	`lower-fma.f64`
3 560×	`lower-fma.f32`
2 150×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	11
1	17	11
2	77	11
3	407	11
4	3200	11
0	10747	11

Stop Event

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

Counts

3 → 668

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(log.f64 x)

Outputs
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eval115.0ms (4.7%)

Memory: 15.4MiB live, 134.2MiB allocated
Compiler: Compiled 15 615 to 1 684 computations (89.2% saved)

prune62.0ms (2.5%)

Memory

0.7MiB live, 36.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	704	0	704
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	704	3	707

Accuracy

100.0%

Counts

707 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	25.0%	(log.f64 (*.f64 (log.f64 x) x))

Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes41.0ms (1.7%)

Memory

-65.4MiB live, 10.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(log.f64 (*.f64 (log.f64 x) x))
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Outputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))

Calls

3 calls:

37.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
2.0ms	(log.f64 x)
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
100.0%	1	`(log.f64 x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 (*.f64 (log.f64 x) x))
(log.f64 (/.f64 x (log.f64 x)))

Outputs
(log.f64 (/.f64 x (log.f64 x)))

Calls

3 calls:

2.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
2.0ms	(log.f64 x)
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
100.0%	1	`(log.f64 x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (*.f64 (log.f64 x) x))

Outputs
(log.f64 (*.f64 (log.f64 x) x))

Calls

3 calls:

1.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms	(log.f64 x)
1.0ms	x

Results

Accuracy	Segments	Branch
25.0%	1	`x`
25.0%	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
25.0%	1	`(log.f64 x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify25.0ms (1%)

Memory

9.4MiB live, 47.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`+-commutative-binary64-+.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`
2×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	14	16
2	16	16
3	17	16

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (log.f64 x) x))

Outputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (log.f64 x) x))

soundness272.0ms (11.1%)

Memory

-22.1MiB live, 170.7MiB allocated

Rules

4 954×	`lower-fma.f64`
4 954×	`lower-fma.f32`
3 776×	`lower-*.f32`
3 774×	`lower-*.f64`
3 614×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
0	13	26
1	31	25
2	118	25
3	778	25
4	7873	25
0	8899	25
0	4	11
0	7	10
1	24	10
2	150	10
3	1399	10
0	9715	10

Stop Event

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

Compiler

Compiled 57 to 34 computations (40.4% saved)

preprocess49.0ms (2%)

Memory: 7.1MiB live, 45.0MiB allocated
Compiler: Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	17
1	14	17
2	33	16
3	61	16
4	106	16
5	152	16
6	169	16
7	177	16
0	4	6
0	7	6
1	9	6
2	14	6
3	20	6
4	28	6
5	43	6
6	76	6
7	101	6
8	143	6
9	158	6
10	166	6
0	166	6

Iter	Nodes	Cost
0	4	12
0	7	12
1	9	12
2	14	12
3	20	12
4	28	12
5	43	12
6	76	12
7	101	12
8	143	12
9	158	12
10	166	12
0	166	12

Iter	Nodes	Cost
0	18	228
1	34	212
2	60	212
3	125	212
4	243	212
5	342	212
6	442	212
7	486	212
8	493	212
0	493	212

Iter	Nodes	Cost
0	25	244
1	42	220
2	65	220
3	151	220
4	322	220
5	503	220
6	674	204
7	846	200
8	885	200
9	896	200
10	897	200
0	897	200

Iter	Nodes	Cost
0	6	17
1	14	17
2	33	16
3	61	16
4	106	16
5	152	16
6	169	16
7	177	16
0	4	6
0	7	6
1	9	6
2	14	6
3	20	6
4	28	6
5	43	6
6	76	6
7	101	6
8	143	6
9	158	6
10	166	6
0	166	6

Iter	Nodes	Cost
0	4	12
0	7	12
1	9	12
2	14	12
3	20	12
4	28	12
5	43	12
6	76	12
7	101	12
8	143	12
9	158	12
10	166	12
0	166	12

Iter	Nodes	Cost
0	18	228
1	34	212
2	60	212
3	125	212
4	243	212
5	342	212
6	442	212
7	486	212
8	493	212
0	493	212

Iter	Nodes	Cost
0	25	244
1	42	220
2	65	220
3	151	220
4	322	220
5	503	220
6	674	204
7	846	200
8	885	200
9	896	200
10	897	200
0	897	200

start0.0ms (0%)

analyze1.0ms (0.1%)

sample628.0ms (25.7%)

explain62.0ms (2.5%)

preprocess19.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.3%)

localize20.0ms (0.8%)

series124.0ms (5.1%)

simplify21.0ms (0.9%)

rewrite117.0ms (4.8%)

eval39.0ms (1.6%)

prune7.0ms (0.3%)

simplify4.0ms (0.2%)

localize28.0ms (1.1%)

series110.0ms (4.5%)

simplify41.0ms (1.7%)

rewrite169.0ms (6.9%)

eval136.0ms (5.6%)

prune24.0ms (1%)

simplify3.0ms (0.1%)

localize22.0ms (0.9%)

series132.0ms (5.4%)

simplify28.0ms (1.2%)

rewrite130.0ms (5.3%)

eval115.0ms (4.7%)

prune62.0ms (2.5%)

regimes41.0ms (1.7%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

simplify25.0ms (1%)

soundness272.0ms (11.1%)

preprocess49.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	17
1	14	17
2	33	16
3	61	16
4	106	16
5	152	16
6	169	16
7	177	16
0	4	6
0	7	6
1	9	6
2	14	6
3	20	6
4	28	6
5	43	6
6	76	6
7	101	6
8	143	6
9	158	6
10	166	6
0	166	6

Iter	Nodes	Cost
0	4	12
0	7	12
1	9	12
2	14	12
3	20	12
4	28	12
5	43	12
6	76	12
7	101	12
8	143	12
9	158	12
10	166	12
0	166	12

Iter	Nodes	Cost
0	18	228
1	34	212
2	60	212
3	125	212
4	243	212
5	342	212
6	442	212
7	486	212
8	493	212
0	493	212

Iter	Nodes	Cost
0	25	244
1	42	220
2	65	220
3	151	220
4	322	220
5	503	220
6	674	204
7	846	200
8	885	200
9	896	200
10	897	200
0	897	200