Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze82.0ms (1.1%)

Memory

-10.2MiB live, 111.5MiB 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 (15.7%)

Memory

45.7MiB live, 2 106.5MiB allocated

Samples

469.0ms	8 256×	0	valid
230.0ms	2 702×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 416.0ms

ival-log1p: 126.0ms (30.3% of total)

ival-exp: 97.0ms (23.3% of total)

ival-mult: 86.0ms (20.7% of total)

ival-sub: 53.0ms (12.7% of total)

adjust: 39.0ms (9.4% of total)

ival-true: 9.0ms (2.2% of total)

ival-assert: 5.0ms (1.2% of total)

Bogosity

explain203.0ms (2.8%)

Memory

-7.4MiB live, 191.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	87	(-1.3169677404499438e+221 -7.304072741095405e+85)	-	`(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	88	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
-	88	167

Precision

0.011235955056179775

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	88	0	167

Precision?

0.011235955056179775

Recall?

1.0

Freqs

test

number	freq
0	167
1	89

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 67 to 28 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-log1p: 30.0ms (45.5% of total)

ival-exp: 26.0ms (39.4% of total)

ival-mult: 4.0ms (6.1% of total)

ival-sub: 2.0ms (3% of total)

ival-add: 2.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess46.0ms (0.6%)

Memory

3.0MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Rules

148×	`lower-fma.f64`
148×	`lower-fma.f32`
108×	`lower-*.f32`
106×	`lower-*.f64`
78×	`cancel-sign-sub-inv`

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 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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 11 to 8 computations (27.3% saved)

simplify17.0ms (0.2%)

Memory

-22.0MiB live, 16.7MiB 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)))

Rules

148×	`lower-fma.f64`
148×	`lower-fma.f32`
108×	`lower-*.f32`
106×	`lower-*.f64`
52×	`lower-+.f32`

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

localize49.0ms (0.7%)

Memory

12.3MiB live, 50.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.01171875	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.01171875	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.48457538852032644	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

41.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-exp: 25.0ms (75.5% of total)

ival-log1p: 3.0ms (9.1% of total)

ival-mult: 2.0ms (6% of total)

ival-sub: 1.0ms (3% of total)

ival-add: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series107.0ms (1.5%)

Memory

-4.4MiB live, 115.3MiB 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
54.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
42.0ms	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))

simplify172.0ms (2.4%)

Memory

0.9MiB live, 162.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
2 474×	`lower-*.f64`
2 474×	`lower-*.f32`
1 772×	`lower-+.f64`

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)

rewrite191.0ms (2.7%)

Memory

17.8MiB live, 295.8MiB allocated

Rules

4 436×	`lower-/.f64`
4 436×	`lower-/.f32`
3 924×	`lower-*.f32`
3 922×	`lower-*.f64`
3 690×	`lower-fma.f64`

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
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(log1p.f64 (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))))
(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))) (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) x))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (log1p.f64 (exp.f64 (+.f64 x x))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (log1p.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (+.f64 x x)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)))))
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(exp.f64 x)

eval51.0ms (0.7%)

Memory: 6.9MiB live, 123.1MiB allocated
Compiler: Compiled 15 043 to 1 437 computations (90.4% saved)

prune71.0ms (1%)

Memory

-38.1MiB live, 167.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	409	10	419
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	410	10	420

Accuracy

100.0%

Counts

420 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 (neg.f64 y) x) y) x (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) (neg.f64 (/.f64 (.f64 (.f64 (*.f64 y y) x) x) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
	47.2%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (.f64 (.f64 y y) x) x))) (.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (fma.f64 (.f64 (.f64 y y) x) x (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
	65.3%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) (*.f64 x y))
▶	88.5%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	70.0%	#s(approx (- (log (+ 1 (exp x))) (* x 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))))
▶	74.7%	#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))))
▶	79.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	52.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
▶	47.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	47.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 336 to 182 computations (45.8% saved)

simplify182.0ms (2.5%)

Memory

5.3MiB live, 123.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
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 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.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 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
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	(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 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))

Rules

2 284×	`lower-fma.f32`
2 278×	`lower-fma.f64`
596×	`lower-*.f32`
592×	`lower-*.f64`
484×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	142
0	44	142
1	70	142
2	99	142
3	195	142
4	327	142
5	569	142
6	937	142
7	1577	142
8	1839	142
9	1910	142
10	1910	142
0	1910	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (1%)

Memory

30.9MiB live, 150.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.24603843528983793	(log1p.f64 (exp.f64 x))
accuracy	33.35843155766561	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy	16.19071623271408	#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))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.015625	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy	13.359566545157728	#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	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	30.14396677648648	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	0.48457538852032644	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	19.0323305671565	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

41.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 124 to 23 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 8.0ms (31.1% of total)

ival-add: 5.0ms (19.4% of total)

ival-log1p: 4.0ms (15.5% of total)

ival-log: 3.0ms (11.6% of total)

ival-exp: 2.0ms (7.8% of total)

ival-sub: 2.0ms (7.8% of total)

exact: 1.0ms (3.9% of total)

ival-neg: 1.0ms (3.9% of total)

adjust: 0.0ms (0% of total)

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

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

series44.0ms (0.6%)

Memory

-23.9MiB live, 95.0MiB allocated

Counts

17 → 312

Calls

Call 1

Inputs
#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 #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 #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 (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 (-.f64 #s(literal 1/2 binary64) y) (patch (-.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) #<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>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x))
9.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x))
6.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x))
3.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x))
3.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x))

simplify194.0ms (2.7%)

Memory

15.3MiB live, 248.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 946×	`lower-fma.f64`
13 946×	`lower-fma.f32`
3 752×	`lower-*.f64`
3 752×	`lower-*.f32`
2 664×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	2291
1	419	2144
2	1139	2144
3	4569	2134
0	8347	1817

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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

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

rewrite243.0ms (3.4%)

Memory

-10.1MiB live, 359.5MiB allocated

Rules

4 728×	`lower-*.f32`
4 724×	`lower-*.f64`
4 616×	`lower-/.f64`
4 616×	`lower-/.f32`
3 212×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	122
0	44	122
1	152	122
2	1074	122
0	8337	122

Stop Event

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

Counts

17 → 303

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))))
(.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))))))
(.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 (*.f64 y x) y) x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 (.f64 x x) x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x)))) (neg.f64 (neg.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (.f64 (.f64 y x) y) x))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) x)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 6 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y x) y) x))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (.f64 (.f64 y x) y) x) (pow.f64 (.f64 (*.f64 y x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 6 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y x) y) x))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 9 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y x) y) x) (pow.f64 (.f64 (.f64 y x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 y x) y) x))) (.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) x))) (neg.f64 (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x))) (neg.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))))
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(/.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/8 binary64) x)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x x) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 y y (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (.f64 (.f64 y y) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64))) (neg.f64 y))
(fma.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))) (neg.f64 y))
(fma.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) y))) (.f64 #s(literal 1/8 binary64) x))
(fma.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 y))) (.f64 #s(literal 1/8 binary64) x))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1/8 binary64) x))
(fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y))))) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y))))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) (/.f64 (.f64 y y) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/8 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 y y (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 y y (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)
(-.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) y))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (neg.f64 y))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 y (*.f64 #s(literal 1/8 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 y) (*.f64 #s(literal 1/8 binary64) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (exp.f64 x))) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))) (.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (neg.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (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)

eval86.0ms (1.2%)

Memory: 27.3MiB live, 260.1MiB allocated
Compiler: Compiled 13 390 to 1 136 computations (91.5% saved)

prune112.0ms (1.6%)

Memory

-24.8MiB live, 305.0MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	661	14	675
Fresh	5	0	5
Picked	3	2	5
Done	0	0	0
Total	669	16	685

Accuracy

100.0%

Counts

685 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.5%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	50.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶	47.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
▶	16.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (*.f64 y x))))))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (*.f64 y y) (neg.f64 y)) (fma.f64 y y #s(literal 0 binary64))) x))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (*.f64 y y) (neg.f64 y)))) x))
▶	99.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
▶	26.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
✓	52.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
✓	47.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	46.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	47.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
▶	32.5%	#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)))
	28.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))
	6.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	49.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (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)))))

Compiler

Compiled 373 to 218 computations (41.6% saved)

simplify87.0ms (1.2%)

Memory

11.2MiB live, 168.1MiB 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	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
cost-diff	64	(fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (.f64 y x)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (.f64 y x))))
cost-diff	640	(.f64 #s(literal 0 binary64) (.f64 y x))
cost-diff	2944	(/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (*.f64 y x)))))
cost-diff	0	(neg.f64 (*.f64 y y))
cost-diff	0	(.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
cost-diff	1344	(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	#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)))
cost-diff	0	(/.f64 (log1p.f64 (exp.f64 x)) x)
cost-diff	0	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
cost-diff	0	(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))

Rules

4 504×	`lower-*.f32`
4 486×	`lower-*.f64`
2 670×	`lower-fma.f32`
2 666×	`lower-fma.f64`
2 386×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	306
0	72	268
1	128	254
2	282	220
3	1476	220
4	5068	220
0	8320	218

Stop Event

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

Calls

Call 1

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

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

localize159.0ms (2.2%)

Memory

5.6MiB live, 248.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.015625	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy	13.359566545157728	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
accuracy	29.75909469594769	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	4.658492306485734	(fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (.f64 y x)))
accuracy	4.658492306485734	(.f64 (.f64 (*.f64 y x) y) x)
accuracy	30.14396677648648	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (*.f64 y x))))))
accuracy	42.38292162094813	(/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (*.f64 y x)))))
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 (*.f64 y y))
accuracy	30.14396677648648	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
accuracy	31.0207314054459	(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.015625	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	13.359566545157728	#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)))
accuracy	30.11558579009029	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0078125	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
accuracy	0.1015625	(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
accuracy	0.13671875	(/.f64 (log1p.f64 (exp.f64 x)) x)
accuracy	0.24603843528983793	(log1p.f64 (exp.f64 x))

Samples

102.0ms

256×

valid

Compiler

Compiled 246 to 34 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-log: 33.0ms (45% of total)

ival-mult: 18.0ms (24.6% of total)

ival-div: 5.0ms (6.8% of total)

ival-sub: 5.0ms (6.8% of total)

ival-add: 3.0ms (4.1% of total)

ival-log1p: 3.0ms (4.1% of total)

ival-exp: 2.0ms (2.7% of total)

ival-neg: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

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

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

series70.0ms (1%)

Memory

-34.7MiB live, 165.0MiB allocated

Counts

24 → 468

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (/ (* (* (neg y) x) (* (* (* y x) y) x)) (+ 0 (+ (* (* (* y x) y) x) (* 0 (* y x))))) (* 0 (* y x)) (+ 0 (+ (* (* (* y x) y) x) (* 0 (* y x)))) (+ (* (* (* y x) y) x) (* 0 (* y x))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (log (+ 1 (exp x))) (* y y) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y x) y) x))
17.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (/ (* (* (neg y) x) (* (* (* y x) y) x)) (+ 0 (+ (* (* (* y x) y) x) (* 0 (* y x))))) (* 0 (* y x)) (+ 0 (+ (* (* (* y x) y) x) (* 0 (* y x)))) (+ (* (* (* y x) y) x) (* 0 (* y x))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (log (+ 1 (exp x))) (* y y) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y x) y) x))
5.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (/ (* (* (neg y) x) (* (* (* y x) y) x)) (+ 0 (+ (* (* (* y x) y) x) (* 0 (* y x))))) (* 0 (* y x)) (+ 0 (+ (* (* (* y x) y) x) (* 0 (* y x)))) (+ (* (* (* y x) y) x) (* 0 (* y x))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (log (+ 1 (exp x))) (* y y) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y x) y) x))
4.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (/ (* (* (neg y) x) (* (* (* y x) y) x)) (+ 0 (+ (* (* (* y x) y) x) (* 0 (* y x))))) (* 0 (* y x)) (+ 0 (+ (* (* (* y x) y) x) (* 0 (* y x)))) (+ (* (* (* y x) y) x) (* 0 (* y x))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (log (+ 1 (exp x))) (* y y) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y x) y) x))
4.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (/ (* (* (neg y) x) (* (* (* y x) y) x)) (+ 0 (+ (* (* (* y x) y) x) (* 0 (* y x))))) (* 0 (* y x)) (+ 0 (+ (* (* (* y x) y) x) (* 0 (* y x)))) (+ (* (* (* y x) y) x) (* 0 (* y x))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (log (+ 1 (exp x))) (* y y) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y x) y) x))

simplify126.0ms (1.8%)

Memory

26.5MiB live, 180.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 254×	`lower-fma.f64`
9 254×	`lower-fma.f32`
2 562×	`lower-*.f64`
2 562×	`lower-*.f32`
1 400×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	3185
1	347	2894
2	897	2894
3	3296	2894
4	6665	2894
0	8249	2546

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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)))
(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))) x)
(+ (* -1 y) (/ (log (+ 1 (exp x))) x))
(+ (* -1 y) (/ (log (+ 1 (exp x))) x))
(+ (* -1 y) (/ (log (+ 1 (exp x))) 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)))
(+ (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 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -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))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
0
0
0
0
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (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 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))
(pow y 2)
(pow y 2)
(pow y 2)
(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)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
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(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* -1 y)
(* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))
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(* y (- (/ (log (+ 1 (exp x))) y) x))
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(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
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0
0
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0
(* (pow x 2) (pow y 2))
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(* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
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(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
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(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
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(* -1 (* y (+ x (* -1/2 (/ x y)))))
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(* -1 (pow y 2))
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0
0
0
0
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
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(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
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(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
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(+ (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) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)
(/ (log 2) x)
(/ (+ (log 2) (* 1/2 x)) x)
(/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x)
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow 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)))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
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0
0
0
0
(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
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(log 2)
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(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log 2)
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(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
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(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
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(- (/ (log (+ 1 (exp x))) x) y)
(- (/ (log (+ 1 (exp x))) x) y)
(- (/ (log (+ 1 (exp x))) x) y)
(/ (log (+ 1 (exp x))) x)
(/ (log (+ 1 (exp x))) x)
(/ (log (+ 1 (exp x))) x)
(/ (log (+ 1 (exp x))) x)
(* -1 (* x y))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
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0
0
0
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(* (pow x 2) (pow y 2))
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(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
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(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 y)
(- (/ (log (+ 1 (exp x))) x) y)
(- (/ (log (+ 1 (exp x))) x) y)
(- (/ (log (+ 1 (exp x))) x) y)
(/ (log (+ 1 (exp x))) x)
(/ (log (+ 1 (exp x))) x)
(/ (log (+ 1 (exp x))) x)
(/ (log (+ 1 (exp x))) x)
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
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(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
0
0
0
0
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
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(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
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(* -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)))))
(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))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))

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

rewrite155.0ms (2.2%)

Memory

7.4MiB live, 239.6MiB allocated

Rules

4 236×	`lower-fma.f32`
4 232×	`lower-fma.f64`
3 762×	`lower-/.f32`
3 756×	`lower-/.f64`
3 292×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	261
0	72	204
1	253	185
2	1774	175
0	8599	173

Stop Event

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

Counts

24 → 678

Calls

Call 1

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

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

eval151.0ms (2.1%)

Memory: 15.5MiB live, 330.2MiB allocated
Compiler: Compiled 22 324 to 1 786 computations (92% saved)

prune171.0ms (2.4%)

Memory

-31.4MiB live, 384.7MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1 127	19	1 146
Fresh	2	7	9
Picked	4	1	5
Done	0	2	2
Total	1 133	29	1 162

Accuracy

100.0%

Counts

1 162 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	50.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	47.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
	6.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) x) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 y y) x) x)))
	24.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (/.f64 (.f64 (.f64 y x) x) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (.f64 y x))))))
	7.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (*.f64 y x))))))
	14.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 (.f64 (*.f64 y x) x) (/.f64 #s(literal 1 binary64) y))))
▶	7.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x)))
	14.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y x) x) y)))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) x) y)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (*.f64 y x))))))
	13.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (.f64 y x))))
	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	24.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
	22.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (.f64 (neg.f64 y) y)))
	24.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 (neg.f64 y) y) x)))
	88.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y) x))
▶	5.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x))
	11.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (.f64 (neg.f64 (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) x))
▶	26.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
✓	52.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
✓	47.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	46.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	47.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	16.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
▶	3.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
	28.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))
	6.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	49.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (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)))))

Compiler

Compiled 890 to 480 computations (46.1% saved)

simplify94.0ms (1.3%)

Memory

12.2MiB live, 166.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x))
cost-diff	64	(fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))
cost-diff	1344	(.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y))
cost-diff	2944	(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (*.f64 y x) y) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x)))
cost-diff	2944	(/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
cost-diff	1216	(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
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	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))

Rules

6 482×	`lower-fma.f32`
6 478×	`lower-fma.f64`
4 342×	`lower-*.f32`
4 318×	`lower-*.f64`
1 978×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	385
0	72	302
1	146	271
2	569	223
3	4701	223
0	8400	213

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (2.1%)

Memory

1.6MiB live, 236.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13119125976844204	(fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))
accuracy	30.14396677648648	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x))
accuracy	31.0207314054459	(.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y))
accuracy	55.3936342957717	(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))
accuracy	4.658492306485734	(.f64 (.f64 (*.f64 y x) y) x)
accuracy	9.795349785525083	(.f64 (.f64 y y) x)
accuracy	30.14396677648648	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x)))
accuracy	42.38292162094813	(/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x))
accuracy	0	(.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x)
accuracy	0	(*.f64 y y)
accuracy	30.14396677648648	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
accuracy	31.0207314054459	(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
accuracy	0.015625	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
accuracy	13.359566545157728	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
accuracy	29.75909469594769	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	30.11558579009029	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
accuracy	0.48457538852032644	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	19.0323305671565	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

103.0ms

256×

valid

Compiler

Compiled 298 to 41 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 49.0ms (58.8% of total)

ival-log: 12.0ms (14.4% of total)

ival-div: 7.0ms (8.4% of total)

ival-add: 5.0ms (6% of total)

ival-log1p: 3.0ms (3.6% of total)

ival-exp: 2.0ms (2.4% of total)

ival-sub: 2.0ms (2.4% of total)

ival-neg: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series59.0ms (0.8%)

Memory

19.9MiB live, 138.8MiB allocated

Counts

22 → 420

Calls

Call 1

Inputs
#s(alt (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (patch (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 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 #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ ( (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (patch (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y)) (patch (.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y)) x) (patch (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x)) (patch (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (patch (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) (patch (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (patch (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64)) (patch (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 y x) y) x) (patch (.f64 (.f64 (.f64 y x) y) x) #<representation binary64>) () ())

Outputs
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (patch (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (patch (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (patch (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (patch (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) 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 #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 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 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 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 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 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 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y x) y) x) (patch (.f64 (.f64 (.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y x) y) x) (patch (.f64 (.f64 (.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y x) y) x) (patch (.f64 (.f64 (.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y x) y) x) (patch (.f64 (.f64 (.f64 y x) y) x) #<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))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (* y y) (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y y) (/ -1 y)) x) (* y y) (/ (* (* (neg y) x) (* (* (* y x) y) x)) (* (* (* y y) x) x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg y) x) (* (* (* y x) y) x)) (* (neg y) x) (/ (neg (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (* y y)) 0)) (* (/ (neg (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (* y y)) 0)) (/ 1 y)) (+ (* (* y y) (* y y)) 0) (- (log (+ 1 (exp x))) (* x y)) (* (* y y) x) (* (* (* y x) y) x))
11.0ms	x	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (* y y) (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y y) (/ -1 y)) x) (* y y) (/ (* (* (neg y) x) (* (* (* y x) y) x)) (* (* (* y y) x) x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg y) x) (* (* (* y x) y) x)) (* (neg y) x) (/ (neg (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (* y y)) 0)) (* (/ (neg (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (* y y)) 0)) (/ 1 y)) (+ (* (* y y) (* y y)) 0) (- (log (+ 1 (exp x))) (* x y)) (* (* y y) x) (* (* (* y x) y) x))
9.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (* y y) (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y y) (/ -1 y)) x) (* y y) (/ (* (* (neg y) x) (* (* (* y x) y) x)) (* (* (* y y) x) x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg y) x) (* (* (* y x) y) x)) (* (neg y) x) (/ (neg (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (* y y)) 0)) (* (/ (neg (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (* y y)) 0)) (/ 1 y)) (+ (* (* y y) (* y y)) 0) (- (log (+ 1 (exp x))) (* x y)) (* (* y y) x) (* (* (* y x) y) x))
6.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (* y y) (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y y) (/ -1 y)) x) (* y y) (/ (* (* (neg y) x) (* (* (* y x) y) x)) (* (* (* y y) x) x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg y) x) (* (* (* y x) y) x)) (* (neg y) x) (/ (neg (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (* y y)) 0)) (* (/ (neg (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (* y y)) 0)) (/ 1 y)) (+ (* (* y y) (* y y)) 0) (- (log (+ 1 (exp x))) (* x y)) (* (* y y) x) (* (* (* y x) y) x))
5.0ms	y	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (* y y) (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y y) (/ -1 y)) x) (* y y) (/ (* (* (neg y) x) (* (* (* y x) y) x)) (* (* (* y y) x) x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg y) x) (* (* (* y x) y) x)) (* (neg y) x) (/ (neg (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (* y y)) 0)) (* (/ (neg (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (* y y)) 0)) (/ 1 y)) (+ (* (* y y) (* y y)) 0) (- (log (+ 1 (exp x))) (* x y)) (* (* y y) x) (* (* (* y x) y) x))

simplify195.0ms (2.7%)

Memory

-9.5MiB live, 267.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 438×	`lower-fma.f64`
11 438×	`lower-fma.f32`
3 594×	`lower-*.f64`
3 594×	`lower-*.f32`
1 834×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	2603
1	408	2390
2	1003	2390
3	3571	2390
4	7278	2390
0	8074	2154

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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)))
(+ (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 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -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))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -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 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -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)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (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 (* 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 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -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))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -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 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -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)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* -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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (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 (* 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 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -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 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))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -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 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -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)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* -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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (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)))))))
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)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 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))
(* -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 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -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)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -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)))
(+ 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))
(* 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))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 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))
(* -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 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -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))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -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)))
(+ 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))))
(* 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)))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 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 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 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -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))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))

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

rewrite145.0ms (2%)

Memory

-3.2MiB live, 273.9MiB allocated

Rules

4 904×	`lower-fma.f32`
4 900×	`lower-fma.f64`
2 934×	`lower-*.f32`
2 914×	`lower-*.f64`
2 796×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	287
0	72	203
1	262	187
2	1912	152
0	9028	138

Stop Event

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

Counts

22 → 948

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(.f64 (.f64 (neg.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 y y) x) x)))))
(.f64 (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 x y) x) y (.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))))
(.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 y y) x) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 (.f64 y y) x) x) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 (.f64 y y) x) x) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) (neg.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 y y) x) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 x y) x) y (.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 y y) x) x))))
(/.f64 (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (-.f64 (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 x y) x) y (.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 y y) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 x y) x) y (.f64 (.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) (fma.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal -1/2 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 (.f64 y y) x) x) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 x x) x) #s(literal -1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 y y) x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 x x) (.f64 x y)) #s(literal -1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) x) x)) #s(literal -1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 (.f64 x y) (.f64 (.f64 (.f64 (*.f64 y y) x) x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 (.f64 x y) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 x y) (.f64 (.f64 (.f64 (.f64 y y) x) x) x)) #s(literal -1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 x (.f64 (.f64 (.f64 (.f64 y y) x) x) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y y) x) x) #s(literal -1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (*.f64 y y) x) x)) #s(literal -1 binary64)) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) x)) #s(literal -1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (pow.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x y) x) (.f64 (*.f64 y y) x))) #s(literal -1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x y) x) (.f64 (.f64 y y) x)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x y) x) (.f64 (.f64 y y) x)) (.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x y) x) (.f64 (.f64 y y) x)) x) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 y y) y) y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y) (/.f64 x y)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 y y) y) y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (.f64 x (.f64 (.f64 (.f64 (.f64 y y) y) y) y)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 y y) y) y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (.f64 x (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (.f64 (.f64 y y) x) x)) (/.f64 #s(literal 1 binary64) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 (*.f64 y y) x) x) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) x)) (pow.f64 (/.f64 x (.f64 (.f64 (.f64 x y) x) (.f64 (*.f64 y y) x))) #s(literal -1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (*.f64 y y) x)) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) y) (.f64 y y)) (/.f64 x (.f64 x x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) y) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) y) x) (/.f64 x (.f64 (.f64 y y) x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 x y) (.f64 y y)) (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 x x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y)) (/.f64 (.f64 x y) (.f64 x x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 y (.f64 x y)) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) x) (.f64 x y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 y x) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) x) (.f64 (.f64 y y) x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (*.f64 y y) x) x) y) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (*.f64 y y) x) x) y) (/.f64 #s(literal 1 binary64) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) (*.f64 y y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) y) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 y y) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x y) x) (.f64 (.f64 y y) x))) #s(literal -1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 y y) x) x)) (.f64 (.f64 (.f64 x y) x) (.f64 (.f64 y y) x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
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(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)))
(+.f64 (.f64 (.f64 (*.f64 y y) y) y) #s(literal 0 binary64))
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#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x y))
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eval234.0ms (3.2%)

Memory: 48.7MiB live, 535.3MiB allocated
Compiler: Compiled 45 877 to 3 991 computations (91.3% saved)

prune308.0ms (4.3%)

Memory

-23.0MiB live, 747.3MiB allocated

Pruning

52 alts after pruning (45 fresh and 7 done)

	Pruned	Kept	Total
New	1 938	28	1 966
Fresh	4	17	21
Picked	1	4	5
Done	0	3	3
Total	1 943	52	1 995

Accuracy

100.0%

Counts

1 995 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	50.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	47.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) x))))
	0.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y) x) (.f64 (.f64 (.f64 (.f64 y y) y) y) y)))
	0.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) x) (.f64 (.f64 (.f64 y y) y) y)))
	24.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (/.f64 (.f64 (.f64 y x) x) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (.f64 y x))))))
	14.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 (.f64 (*.f64 y x) x) (/.f64 #s(literal 1 binary64) y))))
	1.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) x)))
✓	7.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x)))
	14.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y x) x) y)))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 (.f64 y x) x) y)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 #s(literal 0 binary64) (*.f64 y x))))))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) y))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) y) x)) (.f64 (.f64 (.f64 y y) x) x)))
	4.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y) x)) (.f64 (.f64 (.f64 (.f64 y y) y) y) y)))
	13.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (.f64 y x))))
	2.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)))
	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	26.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) y)))
	24.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
	2.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
	10.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) y) (.f64 x y)) (/.f64 #s(literal -1 binary64) y)))
	0.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 (.f64 x y) x) (.f64 (.f64 y y) x)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
	1.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 y y)) x))
	1.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 x y)) x))
	22.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (.f64 (neg.f64 y) y)))
	1.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (.f64 y y)))
	26.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)) x))
	24.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) x)))
	88.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y) x))
	0.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) y)) x))
	11.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (/.f64 #s(literal -1 binary64) y)) x))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) y) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) y)) x))
	1.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 y y) y) y)) (/.f64 #s(literal -1 binary64) y)) x))
	19.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) y)) x))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) y)) (/.f64 #s(literal -1 binary64) y)) x))
	4.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 x y))))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) x))
✓	26.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
	2.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)) x))
✓	52.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 y (/.f64 x y))))
	2.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
✓	47.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	46.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	47.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	16.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
✓	3.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
	28.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))
	6.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	49.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (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)))))

Compiler

Compiled 1 869 to 632 computations (66.2% saved)

regimes67.0ms (0.9%)

Memory

17.1MiB live, 131.2MiB allocated

Counts

72 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
21.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
20.0ms	y

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 17 to 12 computations (29.4% saved)

regimes82.0ms (1.1%)

Memory

-20.2MiB live, 159.9MiB allocated

Counts

68 → 2

Calls

Call 1

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

Calls

3 calls:

34.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
23.0ms	y
21.0ms	x

Results

Accuracy	Segments	Branch
99.9%	2	`x`
88.5%	1	`y`
99.0%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes26.0ms (0.4%)

Memory

-21.1MiB live, 61.2MiB allocated

Counts

66 → 2

Calls

Call 1

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

Outputs

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

#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))))

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.3%)

Memory

13.3MiB live, 52.0MiB allocated

Counts

63 → 2

Calls

Call 1

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

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

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes42.0ms (0.6%)

Memory

1.3MiB live, 40.5MiB allocated

Counts

60 → 2

Calls

Call 1

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

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

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.4%)

Memory

7.0MiB live, 50.5MiB allocated

Counts

59 → 2

Calls

Call 1

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

24.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.5%)

Memory

-29.1MiB live, 87.2MiB allocated

Counts

58 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
16.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
97.1%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
85.8%	3	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes19.0ms (0.3%)

Memory

-4.1MiB live, 39.2MiB allocated

Counts

57 → 3

Calls

Call 1

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

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

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
97.1%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0.2%)

Memory

36.0MiB live, 36.0MiB allocated

Counts

56 → 3

Calls

Call 1

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

14.0ms

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

Results

Accuracy	Segments	Branch
96.6%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes50.0ms (0.7%)

Memory

-21.9MiB live, 95.1MiB allocated

Counts

54 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y
16.0ms	x
14.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
52.9%	1	`x`
52.9%	1	`y`
52.9%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1b (-1.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
3.3%	1	`x`
3.3%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
3.3%	1	`y`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch17.0ms (0.2%)

Memory

-19.3MiB live, 25.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-457254978178.42316	-616.2374912218711

Samples

10.0ms

144×

valid

Compiler

Compiled 257 to 173 computations (32.7% saved)

Precisions

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

ival-exp: 4.0ms (61.9% of total)

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

ival-log1p: 1.0ms (15.5% of total)

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

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

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

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-457254978178.42316	-616.2374912218711

Compiler

Compiled 212 to 146 computations (31.1% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-457254978178.42316	-616.2374912218711

Compiler

Compiled 185 to 128 computations (30.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-457254978178.42316	-616.2374912218711

Compiler

Compiled 176 to 119 computations (32.4% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-457254978178.42316	-616.2374912218711

Compiler

Compiled 176 to 119 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7116453987739411	1566.220561392791
0.0ms	3.143763363804265e-81	0.6851949457873266

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7116453987739411	1566.220561392791
0.0ms	3.143763363804265e-81	0.6851949457873266

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7116453987739411	1566.220561392791
0.0ms	3.143763363804265e-81	0.6851949457873266

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify9.0ms (0.1%)

Memory

-22.9MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
12×	`*-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	427
1	88	427
2	98	427
3	103	427
4	105	427

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -620 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x 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)))))
(if (<=.f64 x #s(literal -620 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #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)))))
(if (<=.f64 x #s(literal -620 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 -620 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -620 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 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 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)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (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 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 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 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 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 (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))
(if (<=.f64 x #s(literal -620 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x 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)))))
(if (<=.f64 x #s(literal -620 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #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)))))
(if (<=.f64 x #s(literal -620 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 -620 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -620 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 -620 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 y x)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 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)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (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 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (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 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 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 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y 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)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 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 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #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 (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

soundness1.5s (21.2%)

Memory

34.4MiB live, 863.7MiB allocated

Rules

13 946×	`lower-fma.f64`
13 946×	`lower-fma.f32`
11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
9 254×	`lower-fma.f64`

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
0	28	122
0	44	122
1	152	122
2	1074	122
0	8337	122
0	141	2291
1	419	2144
2	1139	2144
3	4569	2134
0	8347	1817
0	117	3185
1	347	2894
2	897	2894
3	3296	2894
4	6665	2894
0	8249	2546

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×	iter limit
1×	node limit

Compiler

Compiled 404 to 165 computations (59.2% saved)

preprocess86.0ms (1.2%)

Memory: 4.6MiB live, 203.3MiB allocated
Compiler: Compiled 546 to 142 computations (74% 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	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

start0.0ms (0%)

analyze82.0ms (1.1%)

sample1.1s (15.7%)

explain203.0ms (2.8%)

preprocess46.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.2%)

localize49.0ms (0.7%)

series107.0ms (1.5%)

simplify172.0ms (2.4%)

rewrite191.0ms (2.7%)

eval51.0ms (0.7%)

prune71.0ms (1%)

simplify182.0ms (2.5%)

localize69.0ms (1%)

series44.0ms (0.6%)

simplify194.0ms (2.7%)

rewrite243.0ms (3.4%)

eval86.0ms (1.2%)

prune112.0ms (1.6%)

simplify87.0ms (1.2%)

localize159.0ms (2.2%)

series70.0ms (1%)

simplify126.0ms (1.8%)

rewrite155.0ms (2.2%)

eval151.0ms (2.1%)

prune171.0ms (2.4%)

simplify94.0ms (1.3%)

localize149.0ms (2.1%)

series59.0ms (0.8%)

simplify195.0ms (2.7%)

rewrite145.0ms (2%)

eval234.0ms (3.2%)

prune308.0ms (4.3%)

regimes67.0ms (0.9%)

regimes82.0ms (1.1%)

regimes26.0ms (0.4%)

regimes22.0ms (0.3%)

regimes42.0ms (0.6%)

regimes28.0ms (0.4%)

regimes38.0ms (0.5%)

regimes19.0ms (0.3%)

regimes17.0ms (0.2%)

regimes50.0ms (0.7%)

regimes5.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.5s (21.2%)

preprocess86.0ms (1.2%)

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