Metrics for neg log

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

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%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (20.1%)

Memory

79.9MiB live, 964.8MiB allocated

Samples

779.0ms	8 256×	0	valid
1.0ms	19×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-log: 140.0ms (44.2% of total)

ival-div: 74.0ms (23.3% of total)

ival-sub: 47.0ms (14.8% of total)

ival-neg: 42.0ms (13.2% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain81.0ms (1.6%)

Memory

1.1MiB live, 113.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
-	-	`(/.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
-	-	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
-	-	`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 80 to 28 computations (65% saved)

Precisions

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

ival-log: 6.0ms (38.7% of total)

ival-div: 4.0ms (25.8% of total)

ival-sub: 2.0ms (12.9% of total)

ival-neg: 2.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.3%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
cost-diff	0	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	17	23
2	20	23
3	22	23
4	24	23
5	28	23
6	33	23
0	33	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

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

localize27.0ms (0.5%)

Memory

-21.4MiB live, 24.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy	0	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
accuracy	0.00390625	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-log: 11.0ms (71% of total)

ival-div: 2.0ms (12.9% of total)

ival-sub: 1.0ms (6.5% of total)

ival-neg: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
1.0ms	x	@	-inf	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
0.0ms	x	@	inf	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

Time

Variable

Point

Expression

1.0ms

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

1.0ms

-inf

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

0.0ms

inf

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

simplify240.0ms (4.7%)

Memory

24.8MiB live, 98.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	313
1	190	292
2	397	290
3	968	280
4	1971	278
5	4221	278
6	5618	278
7	5789	278
8	5802	278
9	5802	278
10	5802	278
11	5977	278
12	6010	278
13	6010	278
0	6010	270

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

Outputs
(log.f64 x)
(+.f64 (log.f64 x) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(neg.f64 (log.f64 x))
(neg.f64 (+.f64 (log.f64 x) x))
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)

rewrite196.0ms (3.8%)

Memory

-16.5MiB live, 137.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	38	21
2	236	21
3	2504	21
0	9279	18

Stop Event

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

Counts

4 → 345

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)

Outputs
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eval120.0ms (2.3%)

Memory: 5.7MiB live, 107.1MiB allocated
Compiler: Compiled 8 197 to 1 342 computations (83.6% saved)

prune9.0ms (0.2%)

Memory

-9.9MiB live, 26.4MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	390	3	393
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	390	4	394

Accuracy

100.0%

Counts

394 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
▶	98.8%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
▶	97.4%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Compiler

Compiled 45 to 35 computations (22.2% saved)

simplify5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
cost-diff	0	(log.f64 x)
cost-diff	0	(+.f64 (log.f64 x) x)
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
cost-diff	0	(log.f64 x)
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	20	65
1	32	65
2	43	65
3	64	65
4	85	65
5	89	65
6	94	65
0	94	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)

localize41.0ms (0.8%)

Memory

-21.7MiB live, 100.2MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	0	(log.f64 x)
accuracy	0.021816259768442016	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
accuracy	0.5530183243912379	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
accuracy	0	(log.f64 x)
accuracy	0.015625	(+.f64 (log.f64 x) x)
accuracy	0.7915048955202898	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
accuracy	0	(log.f64 x)
accuracy	1.6672563156354152	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Samples

27.0ms

256×

valid

Compiler

Compiled 118 to 30 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 6.0ms (33% of total)

ival-div: 4.0ms (22% of total)

ival-add: 3.0ms (16.5% of total)

ival-mult: 3.0ms (16.5% of total)

ival-sub: 1.0ms (5.5% of total)

ival-neg: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series75.0ms (1.5%)

Memory

25.1MiB live, 101.3MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
46.0ms	x	@	0	((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))
18.0ms	x	@	-inf	((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))
7.0ms	x	@	inf	((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))

Time

Variable

Point

Expression

46.0ms

((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))

18.0ms

-inf

((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))

7.0ms

inf

((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))

simplify165.0ms (3.2%)

Memory

-0.7MiB live, 113.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	632
1	215	597
2	503	586
3	1980	563
4	6289	554
0	8233	516

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(log x)
(log x)
(log x)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ x (log x))
(+ x (log x))
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(+ (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))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))

Outputs
(log.f64 x)
(+.f64 (log.f64 x) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log.f64 x)
(log.f64 x)
(log.f64 x)
(log.f64 x)
(log.f64 x)
(+.f64 (log.f64 x) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 x) x)
(+.f64 (log.f64 x) x)
(+.f64 (log.f64 x) x)
(log.f64 x)
(+.f64 (log.f64 x) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 x) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(log.f64 x)
(log.f64 x)
(log.f64 x)
(log.f64 x)
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
x
(+.f64 (log.f64 x) x)
(+.f64 (log.f64 x) x)
(+.f64 (log.f64 x) x)
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
x
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))

rewrite187.0ms (3.6%)

Memory

-0.5MiB live, 192.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	20	56
1	85	56
2	617	56
3	7384	56
0	8908	53

Stop Event

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

Counts

7 → 256

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))

Outputs
#<batchref>
#<batchref>
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eval89.0ms (1.7%)

Memory: -36.2MiB live, 101.1MiB allocated
Compiler: Compiled 10 703 to 1 056 computations (90.1% saved)

prune10.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	385	1	386
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	385	5	390

Accuracy

100.0%

Counts

390 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	98.8%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	97.4%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 69 to 52 computations (24.6% saved)

simplify5.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
0	18	50
1	32	50
2	44	50
3	56	50
4	79	50
5	83	50
6	88	50
0	88	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (1.1%)

Memory

-10.1MiB live, 63.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.5530183243912379	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
accuracy	62.2797177017799	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Samples

48.0ms

256×

valid

Compiler

Compiled 79 to 33 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-log: 26.0ms (63.1% of total)

ival-mult: 6.0ms (14.6% of total)

ival-add: 5.0ms (12.1% of total)

ival-div: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x))

1.0ms

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x))

1.0ms

inf

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x))

simplify144.0ms (2.8%)

Memory

-10.7MiB live, 145.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	328
1	181	316
2	434	309
3	1189	304
4	4334	298
0	8230	279

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(log.f64 x)
(+.f64 (log.f64 x) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 x) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)

rewrite174.0ms (3.4%)

Memory

15.7MiB live, 245.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
0	18	48
1	77	48
2	525	48
3	6183	48
0	8270	43

Stop Event

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

Counts

4 → 31

Calls

Call 1

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

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

eval8.0ms (0.2%)

Memory: 19.1MiB live, 19.1MiB allocated
Compiler: Compiled 2 003 to 194 computations (90.3% saved)

prune13.0ms (0.3%)

Memory

-15.7MiB live, 20.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	78	6	84

Accuracy

100.0%

Counts

84 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	98.8%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	97.4%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))))
✓	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 96 to 72 computations (25% saved)

simplify36.0ms (0.7%)

Memory

15.3MiB live, 48.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))))
cost-diff	1216	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	68
0	23	68
1	42	68
2	85	56
3	189	56
4	500	56
5	808	56
6	968	56
7	1075	56
8	1102	56
9	1107	56
0	1107	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (1.5%)

Memory

-10.6MiB live, 157.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
accuracy	0.15625	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
accuracy	0.5530183243912379	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))))
accuracy	62.2797177017799	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))

Samples

65.0ms

256×

valid

Compiler

Compiled 109 to 39 computations (64.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 39.0ms (70.8% of total)

ival-log: 6.0ms (10.9% of total)

ival-mult: 4.0ms (7.3% of total)

ival-add: 2.0ms (3.6% of total)

ival-neg: 2.0ms (3.6% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

-14.8MiB live, 30.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

((/ (neg x) (/ -1 x)) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (/ (neg x) (/ -1 x)) 1/2))

1.0ms

inf

((/ (neg x) (/ -1 x)) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (/ (neg x) (/ -1 x)) 1/2))

1.0ms

((/ (neg x) (/ -1 x)) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (/ (neg x) (/ -1 x)) 1/2))

simplify231.0ms (4.5%)

Memory

24.5MiB live, 182.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	328
1	181	316
2	435	309
3	1195	304
4	4329	298
0	8219	279

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))

Outputs
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(log.f64 x)
(+.f64 (log.f64 x) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 x) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))

rewrite161.0ms (3.1%)

Memory

-15.2MiB live, 140.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	60
0	23	60
1	96	48
2	653	48
3	6927	48
0	8629	43

Stop Event

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

Counts

4 → 113

Calls

Call 1

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

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

eval23.0ms (0.4%)

Memory: -2.5MiB live, 33.9MiB allocated
Compiler: Compiled 4 590 to 566 computations (87.7% saved)

prune16.0ms (0.3%)

Memory

0.1MiB live, 38.4MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	157	4	161
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	158	9	167

Accuracy

100.0%

Counts

167 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	98.8%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	97.4%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 #s(literal -1/2 binary64) x)) x)))
	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) x))))
	1.3%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (*.f64 x x)) #s(literal 1/2 binary64))))
	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (/.f64 (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x) #s(literal 1/2 binary64))))
✓	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 403 to 188 computations (53.3% saved)

regimes37.0ms (0.7%)

Memory

6.7MiB live, 44.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms	x
4.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
100.0%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
100.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
100.0%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes75.0ms (1.5%)

Memory

-11.9MiB live, 88.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))

Calls

5 calls:

53.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
7.0ms	x
6.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms	(/.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.1%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.1%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes39.0ms (0.8%)

Memory

-2.0MiB live, 72.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))

Calls

5 calls:

9.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
9.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
7.0ms	(/.f64 #s(literal 1 binary64) x)
7.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
6.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
98.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
98.8%	1	`(/.f64 #s(literal 1 binary64) x)`
98.8%	1	`x`
98.8%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes32.0ms (0.6%)

Memory

0.2MiB live, 49.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Calls

5 calls:

7.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
6.0ms	(/.f64 #s(literal 1 binary64) x)
6.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
6.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
6.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
97.4%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
97.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
97.4%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes54.0ms (1%)

Memory

-13.1MiB live, 26.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

31.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
5.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
5.0ms	x

Results

Accuracy	Segments	Branch
2.7%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
2.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
2.7%	1	`(/.f64 #s(literal 1 binary64) x)`
2.7%	1	`x`
2.7%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes17.0ms (0.3%)

Memory

23.3MiB live, 23.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
2.7%	1	`x`
2.7%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
2.7%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
2.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
2.7%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify70.0ms (1.4%)

Memory

-13.3MiB live, 61.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	98
1	51	98
2	64	98
3	84	98
4	114	98
5	151	98
6	169	98
7	179	98
8	180	98

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (29%)

Memory

-8.0MiB live, 474.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	60
0	23	60
1	96	48
2	653	48
3	6927	48
0	8629	43
0	72	632
1	215	597
2	503	586
3	1980	563
4	6289	554
0	8233	516
0	75	313
1	190	292
2	397	290
3	968	280
4	1971	278
5	4221	278
6	5618	278
7	5789	278
8	5802	278
9	5802	278
10	5802	278
11	5977	278
12	6010	278
13	6010	278
0	6010	270
0	16	48
0	18	48
1	77	48
2	525	48
3	6183	48
0	8270	43

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 179 to 98 computations (45.3% saved)

preprocess56.0ms (1.1%)

Memory: 7.9MiB live, 85.6MiB allocated
Compiler: Compiled 210 to 84 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7

start0.0ms (0%)

analyze11.0ms (0.2%)

sample1.0s (20.1%)

explain81.0ms (1.6%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize27.0ms (0.5%)

series4.0ms (0.1%)

simplify240.0ms (4.7%)

rewrite196.0ms (3.8%)

eval120.0ms (2.3%)

prune9.0ms (0.2%)

simplify5.0ms (0.1%)

localize41.0ms (0.8%)

series75.0ms (1.5%)

simplify165.0ms (3.2%)

rewrite187.0ms (3.6%)

eval89.0ms (1.7%)

prune10.0ms (0.2%)

simplify5.0ms (0.1%)

localize55.0ms (1.1%)

series4.0ms (0.1%)

simplify144.0ms (2.8%)

rewrite174.0ms (3.4%)

eval8.0ms (0.2%)

prune13.0ms (0.3%)

simplify36.0ms (0.7%)

localize77.0ms (1.5%)

series10.0ms (0.2%)

simplify231.0ms (4.5%)

rewrite161.0ms (3.1%)

eval23.0ms (0.4%)

prune16.0ms (0.3%)

regimes37.0ms (0.7%)

regimes75.0ms (1.5%)

regimes39.0ms (0.8%)

regimes32.0ms (0.6%)

regimes54.0ms (1%)

regimes17.0ms (0.3%)

simplify70.0ms (1.4%)

soundness1.5s (29%)

preprocess56.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7