Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze75.0ms (1.3%)

Memory

-12.1MiB live, 73.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (19.4%)

Memory

6.4MiB live, 1 344.1MiB allocated

Samples

460.0ms	8 256×	0	valid
262.0ms	2 543×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 466.0ms

ival-exp: 136.0ms (29.2% of total)

ival-log1p: 120.0ms (25.8% of total)

ival-mult: 81.0ms (17.4% of total)

ival-sub: 73.0ms (15.7% of total)

adjust: 43.0ms (9.2% of total)

ival-true: 8.0ms (1.7% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain100.0ms (1.7%)

Memory

-11.0MiB live, 193.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	86	(-3.6120252115577223e+233 1.6741360211145873e+259)	-	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`
0	0	-	-	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	sensitivity	86	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	1	0
↳	`(exp.f64 x)`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	86	169

Precision

0.011494252873563218

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	86	0	169

Precision?

0.011494252873563218

Recall?

1.0

Freqs

test

number	freq
0	169
1	87

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 91 to 36 computations (60.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-log1p: 6.0ms (30.9% of total)

ival-exp: 4.0ms (20.6% of total)

ival-mult: 4.0ms (20.6% of total)

ival-sub: 2.0ms (10.3% of total)

ival-add: 2.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess28.0ms (0.5%)

Memory

13.6MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify9.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff	0	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
(*.f64 y x)
y

localize26.0ms (0.5%)

Memory

-31.4MiB live, 47.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.2615861202646773	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

18.0ms

256×

valid

Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions

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

ival-log1p: 3.0ms (29.8% of total)

ival-exp: 2.0ms (19.8% of total)

ival-add: 2.0ms (19.8% of total)

ival-mult: 2.0ms (19.8% of total)

ival-sub: 1.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series59.0ms (1%)

Memory

33.6MiB live, 112.9MiB allocated

Counts

4 → 60

Calls

Call 1

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

Outputs
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* 1/2 x)) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- 1/2 y))) (taylor 0 x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (taylor 0 x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) (taylor 0 x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
20.0ms	x	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
6.0ms	y	@	0	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms	y	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms	y	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))

simplify137.0ms (2.4%)

Memory

-41.3MiB live, 165.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	385
1	180	370
2	389	370
3	1351	370
4	4010	370
5	6711	370
0	8052	300

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(exp x)
(exp x)
(exp x)
(exp x)
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(exp x)
(exp x)
(exp x)
(exp x)

Outputs
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

rewrite156.0ms (2.7%)

Memory

24.9MiB live, 221.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	13	20
1	47	20
2	311	20
3	2718	20
0	9051	16

Stop Event

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

Counts

4 → 359

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)

Outputs
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eval62.0ms (1.1%)

Memory: 9.1MiB live, 90.2MiB allocated
Compiler: Compiled 13 451 to 1 462 computations (89.1% saved)

prune16.0ms (0.3%)

Memory

-2.5MiB live, 34.7MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	408	11	419
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	409	11	420

Accuracy

99.7%

Counts

420 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	99.6%	(-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 x y))
	99.6%	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x y))
▶	65.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
▶	89.1%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	79.2%	(.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
	77.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
	82.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
▶	49.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	48.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 210 to 184 computations (12.4% saved)

simplify21.0ms (0.4%)

Memory

-22.4MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(log1p.f64 (exp.f64 x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
cost-diff	0	(-.f64 x #s(literal -2 binary64))
cost-diff	0	#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
cost-diff	0	(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
cost-diff	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff	0	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
cost-diff	0	(-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 x y))
cost-diff	256	(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
cost-diff	704	(/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	6528	(log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	166
0	48	163
1	77	151
2	102	145
3	174	145
4	259	145
5	361	145
6	427	145
7	464	145
8	478	145
9	487	145
10	491	145
0	491	145

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 x y))
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x

Outputs
(-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (exp.f64 x))
(log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(neg.f64 (log1p.f64 (exp.f64 x)))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
x
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 x y)
(*.f64 y x)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))))
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.f64 x y)
(*.f64 y x)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x

localize116.0ms (2%)

Memory

2.5MiB live, 122.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.2537736202646773	(log1p.f64 (exp.f64 x))
accuracy	32.36358281435932	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
accuracy	0.2615861202646773	(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
accuracy	21.985260559616616	#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	0.2615861202646773	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	18.397849153683083	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	31.01132360879245	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0.00390625	(-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 x y))
accuracy	0.0078125	(+.f64 (exp.f64 x) #s(literal 1 binary64))
accuracy	0.01171875	(pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0.2537736202646773	(log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))

Samples

51.0ms	71×	2	valid
37.0ms	170×	0	valid
6.0ms	15×	1	valid

Compiler

Compiled 275 to 48 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-log: 27.0ms (39.7% of total)

ival-sub: 9.0ms (13.2% of total)

adjust: 7.0ms (10.3% of total)

ival-pow: 4.0ms (5.9% of total)

ival-neg: 4.0ms (5.9% of total)

ival-add: 4.0ms (5.9% of total)

ival-mult: 4.0ms (5.9% of total)

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

ival-log1p: 3.0ms (4.4% of total)

ival-exp: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series103.0ms (1.8%)

Memory

24.7MiB live, 147.3MiB allocated

Counts

20 → 324

Calls

Call 1

Inputs
#s(alt (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (patch (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (patch (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (patch (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) (patch #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -2 binary64)) (patch (-.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())
#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (log (/ 1 (+ 1 (exp x))))) (taylor 0 y) (#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x))))) (taylor 0 y) (#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x))))) (taylor 0 y) (#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x))))) (taylor 0 y) (#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (patch (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (patch (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (patch (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (patch (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (patch (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (patch (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (patch (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (patch (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) (patch #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) (patch #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) (patch #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) (patch #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal -2 binary64)) (patch (-.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -2 binary64)) (patch (-.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -2 binary64)) (patch (-.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -2 binary64)) (patch (-.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	x	@	-inf	((log (/ (pow (+ (exp x) 1) -1) 1)) (/ (pow (+ (exp x) 1) -1) 1) (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (pow (+ (exp x) 1) -1) (+ (exp x) 1))
28.0ms	x	@	inf	((log (/ (pow (+ (exp x) 1) -1) 1)) (/ (pow (+ (exp x) 1) -1) 1) (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (pow (+ (exp x) 1) -1) (+ (exp x) 1))
6.0ms	y	@	0	((log (/ (pow (+ (exp x) 1) -1) 1)) (/ (pow (+ (exp x) 1) -1) 1) (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (pow (+ (exp x) 1) -1) (+ (exp x) 1))
3.0ms	y	@	-inf	((log (/ (pow (+ (exp x) 1) -1) 1)) (/ (pow (+ (exp x) 1) -1) 1) (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (pow (+ (exp x) 1) -1) (+ (exp x) 1))
3.0ms	y	@	inf	((log (/ (pow (+ (exp x) 1) -1) 1)) (/ (pow (+ (exp x) 1) -1) 1) (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (pow (+ (exp x) 1) -1) (+ (exp x) 1))

simplify132.0ms (2.3%)

Memory

-3.5MiB live, 152.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	2186
1	318	1962
2	645	1962
3	2325	1962
4	6482	1962
0	8090	1636

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 322

Calls

Call 1

Inputs
(* -1 (log (/ 1 (+ 1 (exp x)))))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(log 1/2)
(+ (log 1/2) (* -1/2 x))
(+ (log 1/2) (* x (- (* -1/8 x) 1/2)))
(+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(* -1 (log 1/2))
(- (* 1/2 x) (log 1/2))
(- (* x (+ 1/2 (* 1/8 x))) (log 1/2))
(- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))
(* -1 (log 1/2))
(- (* x (- 1/2 y)) (log 1/2))
(- (* x (- (+ 1/2 (* 1/8 x)) y)) (log 1/2))
(- (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)) (log 1/2))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
(* x y)
(* x y)
(* x y)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (* x y))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(exp x)
(exp x)
(exp x)
(exp x)
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (* x y))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(exp x)
(exp x)
(exp x)
(exp x)
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))

Outputs
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log 1/2)
(log.f64 #s(literal 1/2 binary64))
(+ (log 1/2) (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (* x (- (* -1/8 x) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)) x (log.f64 #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))
(* -1 (log 1/2))
(neg.f64 (log.f64 #s(literal 1/2 binary64)))
(- (* 1/2 x) (log 1/2))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x (log.f64 #s(literal 1/2 binary64))))
(- (* x (+ 1/2 (* 1/8 x))) (log 1/2))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x (log.f64 #s(literal 1/2 binary64))))
(- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))
(neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)) x (log.f64 #s(literal 1/2 binary64))))
(* -1 (log 1/2))
(neg.f64 (log.f64 #s(literal 1/2 binary64)))
(- (* x (- 1/2 y)) (log 1/2))
(neg.f64 (fma.f64 (-.f64 y #s(literal 1/2 binary64)) x (log.f64 #s(literal 1/2 binary64))))
(- (* x (- (+ 1/2 (* 1/8 x)) y)) (log 1/2))
(neg.f64 (fma.f64 (-.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 1/2 binary64))))
(- (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)) (log 1/2))
(neg.f64 (fma.f64 (-.f64 y (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 1/2 binary64))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))

rewrite160.0ms (2.8%)

Memory

-12.2MiB live, 180.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	145
0	48	142
1	174	122
2	1102	122
0	8399	122

Stop Event

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

Counts

20 → 799

Calls

Call 1

Inputs
(log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
(*.f64 x y)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
(pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (exp.f64 x) #s(literal 1 binary64))

Outputs
#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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eval140.0ms (2.4%)

Memory: 26.8MiB live, 219.4MiB allocated
Compiler: Compiled 22 447 to 3 355 computations (85.1% saved)

prune61.0ms (1.1%)

Memory

-23.6MiB live, 101.2MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	1 176	12	1 188
Fresh	4	2	6
Picked	1	4	5
Done	0	0	0
Total	1 181	18	1 199

Accuracy

99.7%

Counts

1 199 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
	99.6%	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 x y))
▶	99.6%	(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
	99.5%	(-.f64 (neg.f64 (log.f64 (.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 x)))) (*.f64 x y))
▶	65.4%	(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y))
✓	65.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
✓	89.1%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	82.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
	26.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
▶	29.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
▶	28.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
	28.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
✓	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
✓	49.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	47.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	48.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	53.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))))
▶	48.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 301 to 273 computations (9.3% saved)

simplify102.0ms (1.8%)

Memory

14.2MiB live, 94.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))
cost-diff	0	(neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))))
cost-diff	128	(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
cost-diff	448	(/.f64 y (neg.f64 (*.f64 y y)))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
cost-diff	0	(neg.f64 (*.f64 y y))
cost-diff	0	(.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
cost-diff	1024	(/.f64 (neg.f64 (*.f64 y y)) y)
cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff	0	(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
cost-diff	256	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
cost-diff	6528	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	289
0	69	272
1	115	268
2	218	241
3	601	241
4	1347	241
5	2816	241
6	4840	241
7	7544	241
0	8032	224

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
(.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)
(/.f64 (neg.f64 (*.f64 y y)) y)
(neg.f64 (*.f64 y y))
(*.f64 y y)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
#s(literal 1 binary64)
(/.f64 y (neg.f64 (*.f64 y y)))
y
(neg.f64 (*.f64 y y))
(*.f64 y y)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y))
(neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))
#s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 x x)
x
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(*.f64 x y)
y

Outputs
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
(*.f64 x y)
(*.f64 y x)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)
(*.f64 (neg.f64 y) x)
(/.f64 (neg.f64 (*.f64 y y)) y)
(neg.f64 y)
(neg.f64 (*.f64 y y))
(*.f64 (neg.f64 y) y)
(*.f64 y y)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x)
(*.f64 (neg.f64 y) x)
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(neg.f64 y)
#s(literal 1 binary64)
(/.f64 y (neg.f64 (*.f64 y y)))
(/.f64 #s(literal -1 binary64) y)
y
(neg.f64 (*.f64 y y))
(*.f64 (neg.f64 y) y)
(*.f64 y y)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y))
(neg.f64 (fma.f64 y x (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))))
(neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))
#s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))
#s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 x x)
x
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(*.f64 x y)
(*.f64 y x)
y

localize194.0ms (3.4%)

Memory

11.7MiB live, 207.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))
accuracy	0.08984375	(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))
accuracy	0.2537736202646773	(log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))
accuracy	21.994446200926728	#s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
accuracy	21.659591332638122	#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
accuracy	32.36358281435932	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
accuracy	0	(neg.f64 (*.f64 y y))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
accuracy	31.01132360879245	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
accuracy	31.13818703846047	(/.f64 y (neg.f64 (*.f64 y y)))
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 (*.f64 y y))
accuracy	31.01132360879245	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
accuracy	31.02485581547187	(/.f64 (neg.f64 (*.f64 y y)) y)
accuracy	0.00390625	(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
accuracy	0.2537736202646773	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))

Samples

97.0ms	71×	2	valid
52.0ms	170×	0	valid
12.0ms	15×	1	valid

Compiler

Compiled 437 to 74 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-log: 56.0ms (43% of total)

ival-mult: 17.0ms (13% of total)

ival-div: 12.0ms (9.2% of total)

adjust: 11.0ms (8.4% of total)

ival-add: 9.0ms (6.9% of total)

ival-neg: 6.0ms (4.6% of total)

ival-sub: 5.0ms (3.8% of total)

const: 5.0ms (3.8% of total)

ival-pow: 4.0ms (3.1% of total)

ival-log1p: 3.0ms (2.3% of total)

ival-exp: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series59.0ms (1%)

Memory

10.7MiB live, 88.2MiB allocated

Counts

24 → 360

Calls

Call 1

Inputs
#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (.f64 y y)) y) (patch (/.f64 (neg.f64 (.f64 y y)) y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x) (patch (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 y y)) (patch (neg.f64 (.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) #<representation binary64>) () ())
#s(alt (/.f64 y (neg.f64 (.f64 y y))) (patch (/.f64 y (neg.f64 (.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (patch (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))) (patch (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))) (patch #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (log (/ 1 (+ 1 (exp x))))) (taylor 0 y) (#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x))))) (taylor 0 y) (#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x))))) (taylor 0 y) (#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x))))) (taylor 0 y) (#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (.f64 y y)) y) (patch (/.f64 (neg.f64 (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (.f64 y y)) y) (patch (/.f64 (neg.f64 (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (.f64 y y)) y) (patch (/.f64 (neg.f64 (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (.f64 y y)) y) (patch (/.f64 (neg.f64 (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x) (patch (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x) (patch (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x) (patch (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x) (patch (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (neg.f64 (.f64 y y)) (patch (neg.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (neg.f64 (.f64 y y)) (patch (neg.f64 (.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (patch (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (patch (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (patch (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (patch (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp x)))) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))) (patch (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp x)))) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))) (patch (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp x)))) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))) (patch (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp x)))) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))) (patch (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))) (patch #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))) (patch #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))) (patch #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))) (patch #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/48 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/48 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/48))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (+ 1/48 (/ 1/2 (pow x 3)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (+ 1/48 (/ 1/2 (pow x 3)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((log (/ 1 (+ 1 (exp x)))) (neg (log (/ 1 (+ 1 (exp x))))) (- (neg (log (/ 1 (+ 1 (exp x))))) (* x y)) (+ 1 (exp x)) (/ (neg (* y y)) y) (- (log (+ 1 (exp x))) (* x y)) (* (/ (neg (* y y)) y) x) (neg (* y y)) (/ 1 (/ y (neg (* y y)))) (/ y (neg (* y y))) (- (log (+ 1 (exp x))) (* x y)) (* (/ 1 (/ y (neg (* y y)))) x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (log 2) (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (log (/ (pow (+ (exp x) 1) -1) 1)) (/ (pow (+ (exp x) 1) -1) 1) (/ 1 (+ 1 (exp x))) (* y y) (+ (* 1/48 (* x x)) -1/4) (+ (* (+ (* 1/48 (* x x)) -1/4) x) 1/2))
15.0ms	x	@	inf	((log (/ 1 (+ 1 (exp x)))) (neg (log (/ 1 (+ 1 (exp x))))) (- (neg (log (/ 1 (+ 1 (exp x))))) (* x y)) (+ 1 (exp x)) (/ (neg (* y y)) y) (- (log (+ 1 (exp x))) (* x y)) (* (/ (neg (* y y)) y) x) (neg (* y y)) (/ 1 (/ y (neg (* y y)))) (/ y (neg (* y y))) (- (log (+ 1 (exp x))) (* x y)) (* (/ 1 (/ y (neg (* y y)))) x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (log 2) (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (log (/ (pow (+ (exp x) 1) -1) 1)) (/ (pow (+ (exp x) 1) -1) 1) (/ 1 (+ 1 (exp x))) (* y y) (+ (* 1/48 (* x x)) -1/4) (+ (* (+ (* 1/48 (* x x)) -1/4) x) 1/2))
6.0ms	y	@	inf	((log (/ 1 (+ 1 (exp x)))) (neg (log (/ 1 (+ 1 (exp x))))) (- (neg (log (/ 1 (+ 1 (exp x))))) (* x y)) (+ 1 (exp x)) (/ (neg (* y y)) y) (- (log (+ 1 (exp x))) (* x y)) (* (/ (neg (* y y)) y) x) (neg (* y y)) (/ 1 (/ y (neg (* y y)))) (/ y (neg (* y y))) (- (log (+ 1 (exp x))) (* x y)) (* (/ 1 (/ y (neg (* y y)))) x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (log 2) (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (log (/ (pow (+ (exp x) 1) -1) 1)) (/ (pow (+ (exp x) 1) -1) 1) (/ 1 (+ 1 (exp x))) (* y y) (+ (* 1/48 (* x x)) -1/4) (+ (* (+ (* 1/48 (* x x)) -1/4) x) 1/2))
4.0ms	y	@	0	((log (/ 1 (+ 1 (exp x)))) (neg (log (/ 1 (+ 1 (exp x))))) (- (neg (log (/ 1 (+ 1 (exp x))))) (* x y)) (+ 1 (exp x)) (/ (neg (* y y)) y) (- (log (+ 1 (exp x))) (* x y)) (* (/ (neg (* y y)) y) x) (neg (* y y)) (/ 1 (/ y (neg (* y y)))) (/ y (neg (* y y))) (- (log (+ 1 (exp x))) (* x y)) (* (/ 1 (/ y (neg (* y y)))) x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (log 2) (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (log (/ (pow (+ (exp x) 1) -1) 1)) (/ (pow (+ (exp x) 1) -1) 1) (/ 1 (+ 1 (exp x))) (* y y) (+ (* 1/48 (* x x)) -1/4) (+ (* (+ (* 1/48 (* x x)) -1/4) x) 1/2))
3.0ms	x	@	0	((log (/ 1 (+ 1 (exp x)))) (neg (log (/ 1 (+ 1 (exp x))))) (- (neg (log (/ 1 (+ 1 (exp x))))) (* x y)) (+ 1 (exp x)) (/ (neg (* y y)) y) (- (log (+ 1 (exp x))) (* x y)) (* (/ (neg (* y y)) y) x) (neg (* y y)) (/ 1 (/ y (neg (* y y)))) (/ y (neg (* y y))) (- (log (+ 1 (exp x))) (* x y)) (* (/ 1 (/ y (neg (* y y)))) x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (log 2) (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (log (/ (pow (+ (exp x) 1) -1) 1)) (/ (pow (+ (exp x) 1) -1) 1) (/ 1 (+ 1 (exp x))) (* y y) (+ (* 1/48 (* x x)) -1/4) (+ (* (+ (* 1/48 (* x x)) -1/4) x) 1/2))

simplify124.0ms (2.2%)

Memory

-29.3MiB live, 126.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	2484
1	379	2276
2	848	2276
3	3245	2264
0	8043	1930

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* -1 (log (/ 1 (+ 1 (exp x)))))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (* x y))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (* x y))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(log 1/2)
(+ (log 1/2) (* -1/2 x))
(+ (log 1/2) (* x (- (* -1/8 x) 1/2)))
(+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))
(* -1 (log 1/2))
(- (* 1/2 x) (log 1/2))
(- (* x (+ 1/2 (* 1/8 x))) (log 1/2))
(- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))
(* -1 (log 1/2))
(- (* x (- 1/2 y)) (log 1/2))
(- (* x (- (+ 1/2 (* 1/8 x)) y)) (log 1/2))
(- (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)) (log 1/2))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* 1/2 x))
(* -1 (log 1/2))
(- (* x (- 1/2 y)) (log 1/2))
(- (* x (- (+ 1/2 (* 1/8 x)) y)) (log 1/2))
(- (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)) (log 1/2))
(* -1 (log 1/2))
(- (* 1/2 x) (log 1/2))
(- (* x (+ 1/2 (* 1/8 x))) (log 1/2))
(- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))
(log 1/2)
(+ (log 1/2) (* -1/2 x))
(+ (log 1/2) (* x (- (* -1/8 x) 1/2)))
(+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
-1/4
(- (* 1/48 (pow x 2)) 1/4)
(- (* 1/48 (pow x 2)) 1/4)
(- (* 1/48 (pow x 2)) 1/4)
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (* x y))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(* 1/2 x)
(* x (+ 1/2 (/ (log 2) x)))
(* x (+ 1/2 (/ (log 2) x)))
(* x (+ 1/2 (/ (log 2) x)))
(* -1 (* x y))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(* x (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) x)) y))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(* 1/48 (pow x 2))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 (pow x 3))
(* (pow x 3) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1/48 (/ 1/2 (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1/48 (/ 1/2 (pow x 3))) (* 1/4 (/ 1 (pow x 2)))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (* x y))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(* -1 (* x y))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(log (/ 1 (+ 1 (exp x))))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(* 1/48 (pow x 2))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/48)))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (+ 1/48 (/ 1/2 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (+ 1/48 (/ 1/2 (pow x 3))))))

Outputs
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(- (* -1 (* x y)) (log (/ 1 (+ 1 (exp x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (* -1 (/ (log (/ 1 (+ 1 (exp x)))) y)) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (/ (log (/ 1 (+ 1 (exp x)))) y) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
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(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (/ (log (/ 1 (+ 1 (exp x)))) x) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(* -1 (log (/ 1 (+ 1 (exp x)))))
(log1p.f64 (exp.f64 x))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(log (/ 1 (+ 1 (exp x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(* 1/48 (pow x 2))
(.f64 #s(literal 1/48 binary64) (.f64 x x))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- 1/48 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))
(* 1/48 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/48)))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (+ 1/48 (/ 1/2 (pow x 3))))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/48 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) (+ 1/48 (/ 1/2 (pow x 3))))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/48 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x)

rewrite153.0ms (2.7%)

Memory

4.0MiB live, 163.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	255
0	69	238
1	252	234
2	1604	208
0	8207	187

Stop Event

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

Counts

24 → 894

Calls

Call 1

Inputs
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 y y)) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
(.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)
(neg.f64 (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 y (neg.f64 (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y))
(neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))
#s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 y y)
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))

Outputs
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eval172.0ms (3%)

Memory: 19.4MiB live, 249.2MiB allocated
Compiler: Compiled 22 931 to 3 744 computations (83.7% saved)

prune69.0ms (1.2%)

Memory

-19.5MiB live, 143.2MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	1 299	12	1 311
Fresh	3	6	9
Picked	2	3	5
Done	0	4	4
Total	1 304	25	1 329

Accuracy

99.7%

Counts

1 329 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	99.6%	(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
✓	65.4%	(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y))
	21.4%	(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) #s(approx (+ (* (+ (* 1/48 (* x x)) -1/4) x) 1/2) (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/48 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x))))) (*.f64 x y))
✓	65.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
✓	89.1%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	99.6%	#s(approx (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
▶	82.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
	26.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
	35.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
	26.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 y y) x))))
	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))))
	15.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 (neg.f64 y) y))) (*.f64 (neg.f64 y) y)) x))
	26.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
▶	51.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
▶	28.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x))
	28.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
✓	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
✓	49.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	47.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	48.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	53.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))))
✓	48.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
	48.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))))
▶	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))

Compiler

Compiled 428 to 372 computations (13.1% saved)

simplify130.0ms (2.3%)

Memory

-5.7MiB live, 138.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x))
cost-diff	320	(.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))
cost-diff	1024	(.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(log1p.f64 (exp.f64 x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	213
0	57	163
1	98	163
2	178	162
3	454	162
4	1176	162
5	2442	162
6	3400	162
7	7363	162
0	9286	159

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1.3%)

Memory

-10.2MiB live, 106.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy	10.996603884886815	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))))
accuracy	0.37654037627713155	(/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)))
accuracy	31.01132360879245	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x))
accuracy	31.096401381957445	(.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
accuracy	31.01132360879245	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	21.659591332638122	#s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	32.36358281435932	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))
accuracy	41.148130474671596	#s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
accuracy	0.2537736202646773	(log1p.f64 (exp.f64 x))

Samples

53.0ms

256×

valid

Compiler

Compiled 331 to 59 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 13.0ms (35.8% of total)

ival-div: 7.0ms (19.3% of total)

ival-add: 4.0ms (11% of total)

ival-log: 3.0ms (8.3% of total)

ival-log1p: 3.0ms (8.3% of total)

ival-exp: 2.0ms (5.5% of total)

ival-sub: 2.0ms (5.5% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.7%)

Memory

23.5MiB live, 66.1MiB allocated

Counts

21 → 324

Calls

Call 1

Inputs
#s(alt (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) (patch (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x)))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (log (+ 1 (exp x))) #s(approx (+ ( 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ ( 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) (patch (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)))) (patch (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)))) #<representation binary64>) () ())
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Outputs
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#s(alt (* x (- (+ 1/2 (/ (log 2) x)) y)) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/2 (/ (log 2) x)) y)) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) (patch (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) (patch (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) (patch (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) (patch (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x)))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x)))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x)))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x)))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (log (+ 1 (exp x))) #s(approx (+ ( 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (log (+ 1 (exp x))) #s(approx (+ ( 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (log (+ 1 (exp x))) #s(approx (+ ( 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (log (+ 1 (exp x))) #s(approx (+ ( 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ ( 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ ( 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ ( 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) (log 2)) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ ( 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 y)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (* 1/2 x) (/ 1 (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (/ 1 (/ -1 y)) x) (/ -1 y) (/ 1 (* y (/ 1 (* 1 (* (neg y) y))))) (* y (/ 1 (* 1 (* (neg y) y)))) (* 1 (* (neg y) y)) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ 1 (* 1 (* (neg y) y))))
8.0ms	x	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (* 1/2 x) (/ 1 (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (/ 1 (/ -1 y)) x) (/ -1 y) (/ 1 (* y (/ 1 (* 1 (* (neg y) y))))) (* y (/ 1 (* 1 (* (neg y) y)))) (* 1 (* (neg y) y)) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ 1 (* 1 (* (neg y) y))))
4.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (* 1/2 x) (/ 1 (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (/ 1 (/ -1 y)) x) (/ -1 y) (/ 1 (* y (/ 1 (* 1 (* (neg y) y))))) (* y (/ 1 (* 1 (* (neg y) y)))) (* 1 (* (neg y) y)) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ 1 (* 1 (* (neg y) y))))
3.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (* 1/2 x) (/ 1 (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (/ 1 (/ -1 y)) x) (/ -1 y) (/ 1 (* y (/ 1 (* 1 (* (neg y) y))))) (* y (/ 1 (* 1 (* (neg y) y)))) (* 1 (* (neg y) y)) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ 1 (* 1 (* (neg y) y))))
3.0ms	y	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (* 1/2 x) (/ 1 (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (/ 1 (/ -1 y)) x) (/ -1 y) (/ 1 (* y (/ 1 (* 1 (* (neg y) y))))) (* y (/ 1 (* 1 (* (neg y) y)))) (* 1 (* (neg y) y)) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ 1 (* 1 (* (neg y) y))))

simplify214.0ms (3.7%)

Memory

-3.9MiB live, 109.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1962
1	380	1818
2	900	1818
3	3031	1818
4	7361	1818
0	8052	1551

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
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(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
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(* x (+ 1/2 (/ (log 2) x)))
(* x (+ 1/2 (/ (log 2) x)))
(* x (+ 1/2 (/ (log 2) x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
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(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
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(* -1 (* x y))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
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(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))

Outputs
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
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(/ -1 y)
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(/ -1 y)
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(* -1 (pow y 2))
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(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(/ -1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ (log 2) x)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(* x (+ 1/2 (/ (log 2) x)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(* x (+ 1/2 (/ (log 2) x)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))

rewrite157.0ms (2.7%)

Memory

-3.5MiB live, 152.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	178
0	57	138
1	193	137
2	1143	136
0	8444	133

Stop Event

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

Counts

21 → 566

Calls

Call 1

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

Outputs
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eval130.0ms (2.3%)

Memory: -1.8MiB live, 199.5MiB allocated
Compiler: Compiled 13 782 to 2 135 computations (84.5% saved)

prune59.0ms (1%)

Memory

22.2MiB live, 137.9MiB allocated

Pruning

30 alts after pruning (20 fresh and 10 done)

	Pruned	Kept	Total
New	942	9	951
Fresh	2	11	13
Picked	2	3	5
Done	0	7	7
Total	946	30	976

Accuracy

99.7%

Counts

976 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	99.6%	(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
✓	65.4%	(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y))
	21.4%	(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) #s(approx (+ (* (+ (* 1/48 (* x x)) -1/4) x) 1/2) (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/48 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x))))) (*.f64 x y))
✓	65.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
✓	89.1%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	99.6%	#s(approx (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
	82.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64))))
✓	82.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
	26.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
	35.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (neg.f64 y)) y) y))
	51.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	51.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
	26.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 y y) x))))
	35.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x (neg.f64 y)) y))))
	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))))
	15.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 (neg.f64 y) y))) (*.f64 (neg.f64 y) y)) x))
	26.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
	28.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))))) x))
	28.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
✓	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	35.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x (neg.f64 y)) y))))
✓	49.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	47.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	48.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	35.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	53.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))))
✓	48.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
	48.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))))
✓	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))

Compiler

Compiled 754 to 453 computations (39.9% saved)

regimes41.0ms (0.7%)

Memory

-34.0MiB live, 51.9MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 (neg.f64 y) y))) (*.f64 (neg.f64 y) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
#s(approx (- (neg (log (/ (pow (+ (exp x) 1) -1) 1))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) #s(approx (+ (* (+ (* 1/48 (* x x)) -1/4) x) 1/2) (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/48 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x))))) (*.f64 x y))
(-.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 x y))
(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x y))
(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 x y))
(-.f64 (neg.f64 (log.f64 (.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 x)))) (*.f64 x y))
(.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))

Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Calls

3 calls:

13.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
12.0ms	y
12.0ms	x

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes31.0ms (0.5%)

Memory

3.1MiB live, 41.9MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 (neg.f64 y) y))) (*.f64 (neg.f64 y) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (neg.f64 (log.f64 #s(approx (/ (pow (+ (exp x) 1) -1) 1) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))

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

Calls

3 calls:

11.0ms	x
10.0ms	y
9.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.0%	2	`x`
89.1%	1	`y`
97.9%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes9.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 (neg.f64 y) y))) (*.f64 (neg.f64 y) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.3%)

Memory

-4.3MiB live, 34.5MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 (neg.f64 y) y))) (*.f64 (neg.f64 y) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))

Outputs

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Calls

2 calls:

9.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
8.0ms	x

Results

Accuracy	Segments	Branch
97.0%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
81.8%	2	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes8.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 (neg.f64 y) y))) (*.f64 (neg.f64 y) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))

Outputs

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

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

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Calls

1 calls:

7.0ms

(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
96.8%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes47.0ms (0.8%)

Memory

-8.1MiB live, 31.6MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x (neg.f64 y)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 (neg.f64 y) y))) (*.f64 (neg.f64 y) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))))) x))

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Calls

3 calls:

33.0ms	y
7.0ms	x
6.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
51.5%	1	`x`
51.5%	1	`y`
51.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms	x

Results

Accuracy	Segments	Branch
3.4%	1	`x`
3.4%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
3.4%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch29.0ms (0.5%)

Memory

-11.2MiB live, 27.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-2.481696710818951	-1.2308725653826394e-14

Samples

21.0ms

160×

valid

Compiler

Compiled 142 to 161 computations (-13.4% saved)

Precisions

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

ival-mult: 13.0ms (73.7% of total)

ival-exp: 2.0ms (11.3% of total)

ival-log1p: 2.0ms (11.3% of total)

ival-sub: 1.0ms (5.7% of total)

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

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

bsearch17.0ms (0.3%)

Memory

-11.1MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-6498064072.811111	-1446151.3469849378

Samples

7.0ms

128×

valid

Compiler

Compiled 108 to 123 computations (-13.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (48.4% of total)

ival-sub: 1.0ms (24.2% of total)

ival-log1p: 1.0ms (24.2% of total)

ival-mult: 1.0ms (24.2% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9582176834692363	7873946.388493996
0.0ms	0.0802899921992706	0.6928772751356268

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9582176834692363	7873946.388493996
0.0ms	1.211781850533397e-6	0.0802899921992706

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify27.0ms (0.5%)

Memory

20.5MiB live, 57.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	244
1	75	244
2	85	244
3	90	244
4	92	244

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1450000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))

Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1450000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 x #s(literal -1450000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))))

soundness1.2s (21.5%)

Memory

-18.2MiB live, 590.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	13	20
1	47	20
2	311	20
3	2718	20
0	9051	16
0	128	2186
1	318	1962
2	645	1962
3	2325	1962
4	6482	1962
0	8090	1636
0	67	385
1	180	370
2	389	370
3	1351	370
4	4010	370
5	6711	370
0	8052	300
0	149	2484
1	379	2276
2	848	2276
3	3245	2264
0	8043	1930

Stop Event

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

Compiler

Compiled 194 to 109 computations (43.8% saved)

preprocess72.0ms (1.3%)

Memory: -1.3MiB live, 119.0MiB allocated
Compiler: Compiled 326 to 144 computations (55.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

Iter	Nodes	Cost
0	31	166
0	48	163
1	77	151
2	102	145
3	174	145
4	259	145
5	361	145
6	427	145
7	464	145
8	478	145
9	487	145
10	491	145
0	491	145

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

Iter	Nodes	Cost
0	31	166
0	48	163
1	77	151
2	102	145
3	174	145
4	259	145
5	361	145
6	427	145
7	464	145
8	478	145
9	487	145
10	491	145
0	491	145

start0.0ms (0%)

analyze75.0ms (1.3%)

sample1.1s (19.4%)

explain100.0ms (1.7%)

preprocess28.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

localize26.0ms (0.5%)

series59.0ms (1%)

simplify137.0ms (2.4%)

rewrite156.0ms (2.7%)

eval62.0ms (1.1%)

prune16.0ms (0.3%)

simplify21.0ms (0.4%)

localize116.0ms (2%)

series103.0ms (1.8%)

simplify132.0ms (2.3%)

rewrite160.0ms (2.8%)

eval140.0ms (2.4%)

prune61.0ms (1.1%)

simplify102.0ms (1.8%)

localize194.0ms (3.4%)

series59.0ms (1%)

simplify124.0ms (2.2%)

rewrite153.0ms (2.7%)

eval172.0ms (3%)

prune69.0ms (1.2%)

simplify130.0ms (2.3%)

localize75.0ms (1.3%)

series41.0ms (0.7%)

simplify214.0ms (3.7%)

rewrite157.0ms (2.7%)

eval130.0ms (2.3%)

prune59.0ms (1%)

regimes41.0ms (0.7%)

regimes31.0ms (0.5%)

regimes9.0ms (0.2%)

regimes18.0ms (0.3%)

regimes8.0ms (0.1%)

regimes47.0ms (0.8%)

regimes4.0ms (0.1%)

bsearch29.0ms (0.5%)

bsearch17.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify27.0ms (0.5%)

soundness1.2s (21.5%)

preprocess72.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

Iter	Nodes	Cost
0	31	166
0	48	163
1	77	151
2	102	145
3	174	145
4	259	145
5	361	145
6	427	145
7	464	145
8	478	145
9	487	145
10	491	145
0	491	145