Metrics for qlog (example 3.10)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

-26.0MiB live, 10.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
25%	12.5%	37.5%	50%	0%	0%	0%	3
62.5%	31.2%	18.7%	50%	0%	0%	0%	4
81.3%	40.6%	9.4%	50%	0%	0%	0%	5
90.6%	45.3%	4.7%	50%	0%	0%	0%	6
95.3%	47.6%	2.3%	50%	0%	0%	0%	7
97.7%	48.8%	1.2%	50%	0%	0%	0%	8
98.8%	49.4%	0.6%	50%	0%	0%	0%	9
99.4%	49.7%	0.3%	50%	0%	0%	0%	10
99.7%	49.8%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0.1%	50%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.8s (59.9%)

Memory

41.2MiB live, 2 986.3MiB allocated

Samples

1.3s	3 052×	2	valid
1.1s	4 871×	1	valid
72.0ms	333×	0	valid

Precisions

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

ival-log: 1.2s (60% of total)

adjust: 208.0ms (10% of total)

ival-div: 175.0ms (8.4% of total)

ival-sub: 144.0ms (6.9% of total)

ival-log1p: 137.0ms (6.6% of total)

ival-fabs: 124.0ms (6% of total)

ival-<=: 31.0ms (1.5% of total)

exact: 7.0ms (0.3% of total)

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

Bogosity

explain274.0ms (5.8%)

Memory

-28.0MiB live, 172.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
255	-	-	`(log.f64 (-.f64 #s(literal 1 binary64) x))`
0	-	-	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	255	1
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	255	1

Confusion

	Predicted +	Predicted -
+	249	0
-	6	1

Precision

0.9764705882352941

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	0	0
-	6	1	0

Precision?

0.97265625

Recall?

1.0

Freqs

test

number	freq
0	1
2	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

103.0ms	324×	1	valid
61.0ms	174×	2	valid
1.0ms	14×	0	valid

Compiler

Compiled 88 to 32 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-log: 60.0ms (60.8% of total)

adjust: 14.0ms (14.2% of total)

ival-div: 9.0ms (9.1% of total)

ival-sub: 8.0ms (8.1% of total)

ival-log1p: 4.0ms (4.1% of total)

ival-add: 3.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 6 to 5 computations (16.7% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log1p.f64 x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(log1p.f64 (neg.f64 x))
cost-diff	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	12	14
1	20	14
2	25	14
3	32	14
4	40	14
5	50	14
6	64	14
7	68	14
0	68	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)

localize17.0ms (0.4%)

Memory

24.7MiB live, 24.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 (neg.f64 x))
accuracy	0	(log1p.f64 x)
accuracy	0.01953125	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Samples

12.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-log1p: 3.0ms (46.6% of total)

ival-div: 2.0ms (31.1% of total)

ival-neg: 1.0ms (15.5% of total)

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

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

series9.0ms (0.2%)

Memory

-26.5MiB live, 12.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log1p.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)))
2.0ms	x	@	-inf	((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)))
2.0ms	x	@	0	((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)))

Time

Variable

Point

Expression

2.0ms

inf

((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)))

2.0ms

-inf

((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)))

2.0ms

((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)))

simplify162.0ms (3.4%)

Memory

9.6MiB live, 197.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	1075
1	634	962
2	1965	889
0	8209	862

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))

Outputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
x
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) x) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)))
(+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) x) x) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) (log.f64 x)))) x) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) (log.f64 x)))) (.f64 (*.f64 (log.f64 x) x) x)))))
(-.f64 (-.f64 (+.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) x) x) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) (log.f64 x)))) (.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)) (fma.f64 (/.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (*.f64 (log.f64 x) (log.f64 x)))))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(log.f64 x)
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) (log.f64 x))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))

rewrite124.0ms (2.6%)

Memory

-7.3MiB live, 157.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	12	14
1	49	14
2	323	10
3	2811	6
0	8427	6

Stop Event

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

Counts

4 → 298

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log1p.f64 x)

Outputs
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eval51.0ms (1.1%)

Memory: 2.3MiB live, 85.7MiB allocated
Compiler: Compiled 7 471 to 989 computations (86.8% saved)

prune7.0ms (0.2%)

Memory

24.5MiB live, 24.5MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	341	5	346
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	341	6	347

Accuracy

100.0%

Counts

347 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.8%	(/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x))
▶	99.8%	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
▶	99.8%	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
▶	99.6%	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶	98.7%	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 178 to 135 computations (24.2% saved)

simplify283.0ms (6%)

Memory

3.5MiB live, 81.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.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 #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
cost-diff	0	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))
cost-diff	0	(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	181
0	50	175
1	75	175
2	126	175
3	307	175
4	672	175
5	1520	175
6	2759	175
7	3851	175
8	4608	175
9	4818	175
10	4846	175
11	4848	175
12	5039	175
13	5039	175
14	5039	175
15	5277	175
16	5374	175
17	5374	175
18	5374	175
19	5384	175
0	5384	169

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
(/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x))
#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 x)

Outputs
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
(/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x))
#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 x)

localize92.0ms (1.9%)

Memory

-24.0MiB live, 135.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
accuracy	0.01953125	(/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x))
accuracy	0.02734375	(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
accuracy	0.10826888442104333	#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy	0	(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
accuracy	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
accuracy	0.1466378542643551	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.27849890705384706	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
accuracy	0.8422675065102	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))
accuracy	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
accuracy	0	(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
accuracy	0	(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
accuracy	0.1126801308764408	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))

Samples

73.0ms

256×

valid

Compiler

Compiled 351 to 60 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 18.0ms (30.8% of total)

ival-div: 17.0ms (29.1% of total)

ival-add: 9.0ms (15.4% of total)

const: 8.0ms (13.7% of total)

ival-log1p: 3.0ms (5.1% of total)

ival-neg: 2.0ms (3.4% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #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 -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.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 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<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 #s(literal -1 binary64)) #<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 #s(literal -1 binary64)) #<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 #s(literal -1 binary64)) #<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 #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 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 (/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<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 #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#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 #s(literal -1 binary64)) #<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 #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>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #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 -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (- -1 x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (+ (* -1/4 x) -1/3))
2.0ms	x	@	inf	((/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (- -1 x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (+ (* -1/4 x) -1/3))
1.0ms	x	@	0	((/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (- -1 x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (+ (* -1/4 x) -1/3))

Time

Variable

Point

Expression

3.0ms

-inf

((/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (- -1 x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (+ (* -1/4 x) -1/3))

2.0ms

inf

((/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (- -1 x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (+ (* -1/4 x) -1/3))

1.0ms

((/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (- -1 x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (+ (* -1/4 x) -1/3))

simplify211.0ms (4.4%)

Memory

-60.5MiB live, 207.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	4802
1	803	4327
2	2917	3992
0	8230	3853

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
-1/2
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
-1
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
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Outputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
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(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x)
(.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) 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))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
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(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64))
(.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (.f64 x x))
(.f64 (.f64 (neg.f64 x) x) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/4 binary64)) x #s(literal 1/3 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))

rewrite137.0ms (2.9%)

Memory

4.7MiB live, 198.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	157
0	50	151
1	206	151
2	1512	139
0	8656	139

Stop Event

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

Counts

15 → 306

Calls

Call 1

Inputs
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x))
#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))

Outputs
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eval106.0ms (2.2%)

Memory: 17.7MiB live, 137.8MiB allocated
Compiler: Compiled 17 908 to 1 886 computations (89.5% saved)

prune14.0ms (0.3%)

Memory

8.9MiB live, 46.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	486	0	486
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	486	6	492

Accuracy

100.0%

Counts

492 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.8%	(/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x))
✓	99.8%	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
✓	99.8%	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
✓	99.6%	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
✓	98.7%	#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 193 to 109 computations (43.5% saved)

regimes5.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

-26.3MiB live, 12.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(/.f64 #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x))

Outputs
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))

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

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))

Outputs
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify58.0ms (1.2%)

Memory

-3.5MiB live, 83.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	71
1	31	71
2	34	71
3	35	71

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (+ 1 (neg x))) (log (+ 1 x))) #s(literal -1 binary64))

soundness251.0ms (5.3%)

Memory

-9.2MiB live, 220.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	1075
1	634	962
2	1965	889
0	8209	862
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6

Stop Event

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

Compiler

Compiled 207 to 102 computations (50.7% saved)

preprocess46.0ms (1%)

Memory: 11.3MiB live, 94.4MiB allocated
Compiler: Compiled 172 to 74 computations (57% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6

start0.0ms (0%)

analyze7.0ms (0.1%)

sample2.8s (59.9%)

explain274.0ms (5.8%)

preprocess16.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize17.0ms (0.4%)

series9.0ms (0.2%)

simplify162.0ms (3.4%)

rewrite124.0ms (2.6%)

eval51.0ms (1.1%)

prune7.0ms (0.2%)

simplify283.0ms (6%)

localize92.0ms (1.9%)

series11.0ms (0.2%)

simplify211.0ms (4.4%)

rewrite137.0ms (2.9%)

eval106.0ms (2.2%)

prune14.0ms (0.3%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify58.0ms (1.2%)

soundness251.0ms (5.3%)

preprocess46.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6