Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze66.0ms (0.8%)

Memory

1.4MiB live, 160.4MiB 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)

sample1.0s (13%)

Memory

24.7MiB live, 2 450.0MiB allocated

Samples

450.0ms	8 256×	0	valid
204.0ms	2 616×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 400.0ms

ival-log1p: 122.0ms (30.5% of total)

ival-exp: 90.0ms (22.5% of total)

ival-mult: 85.0ms (21.3% of total)

ival-sub: 50.0ms (12.5% of total)

adjust: 39.0ms (9.8% of total)

ival-true: 9.0ms (2.3% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain100.0ms (1.3%)

Memory

4.7MiB live, 244.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	83	(-7.309603768366674e+186 -8.627593668198385e+218)	-	`(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	84	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
-	84	171

Precision

0.011764705882352941

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	84	0	171

Precision?

0.011764705882352941

Recall?

1.0

Freqs

test

number	freq
0	171
1	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 67 to 28 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log1p: 7.0ms (32.5% of total)

ival-exp: 4.0ms (18.6% of total)

ival-mult: 4.0ms (18.6% of total)

ival-sub: 3.0ms (13.9% of total)

ival-add: 2.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess38.0ms (0.5%)

Memory

-40.4MiB live, 91.2MiB 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))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

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

4.2MiB live, 4.2MiB 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)

simplify12.0ms (0.2%)

Memory

33.5MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize28.0ms (0.4%)

Memory

-36.3MiB live, 82.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.0078125	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.4885152184219411	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

18.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 3.0ms (27.6% of total)

ival-log1p: 3.0ms (27.6% of total)

ival-add: 2.0ms (18.4% of total)

ival-mult: 2.0ms (18.4% of total)

ival-sub: 1.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

series59.0ms (0.8%)

Memory

19.0MiB live, 176.6MiB 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 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 (+ 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 (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 (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 (* -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 (* 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 (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 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 (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 (+ 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 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 (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 (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

15 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(log (+ 1 (exp x)))
21.0ms	x	@	-inf	(log (+ 1 (exp x)))
3.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
1.0ms	x	@	-inf	(- (log (+ 1 (exp x))) (* x y))
0.0ms	x	@	0	(log (+ 1 (exp x)))

simplify193.0ms (2.5%)

Memory

-12.9MiB live, 385.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
2 426×	`lower-*.f64`
2 426×	`lower-*.f32`
1 772×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	400
1	180	400
2	389	400
3	1353	400
4	4014	370
5	6856	370
0	8132	300

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite258.0ms (3.3%)

Memory

-0.5MiB live, 678.1MiB 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
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (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 (neg.f64 (exp.f64 (+.f64 x x)))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))))
(+.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(+.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x)))) (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (.f64 (.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(-.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (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 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 9 binary64)))) (log.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 6 binary64))))) (log.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 6 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 4 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (log.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) (log1p.f64 (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64))))) (neg.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/.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)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(/.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)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (neg.f64 (exp.f64 (+.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (+.f64 x x))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (+.f64 x x)))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 x x))))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.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))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.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))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))

eval54.0ms (0.7%)

Memory: 14.0MiB live, 169.5MiB allocated
Compiler: Compiled 15 107 to 1 438 computations (90.5% saved)

prune63.0ms (0.8%)

Memory

18.0MiB live, 219.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	411	8	419
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	8	420

Accuracy

100.0%

Counts

420 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
▶	91.3%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	90.9%	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
	76.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
▶	79.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
	86.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
▶	48.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	53.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 204 to 126 computations (38.2% saved)

simplify238.0ms (3.1%)

Memory

-4.6MiB live, 552.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 (exp.f64 x))
cost-diff	0	(fma.f64 x y (log1p.f64 (exp.f64 x)))
cost-diff	320	(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
cost-diff	27392	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
cost-diff	0	(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
cost-diff	0	(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff	0	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
cost-diff	0	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
cost-diff	256	(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
cost-diff	768	(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
cost-diff	6400	(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))

Rules

18 652×	`lower-fma.f32`
18 646×	`lower-fma.f64`
3 248×	`lower-*.f32`
3 240×	`lower-*.f64`
2 066×	`lower--.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	217
0	64	219
1	106	217
2	188	217
3	523	217
4	1807	210
5	4781	182
0	8066	182

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(log1p.f64 (exp.f64 x))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(neg.f64 (log1p.f64 (exp.f64 x)))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(expm1.f64 x)
x
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (neg.f64 x)))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
x
(neg.f64 y)
y
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))
x
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
x
y
(log1p.f64 (exp.f64 x))
(exp.f64 x)
(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))
#s(literal 1 binary64)

localize188.0ms (2.4%)

Memory

15.3MiB live, 537.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
accuracy	0.11556625976844202	(/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))
accuracy	0.2538083562593383	(log1p.f64 (exp.f64 x))
accuracy	5.563552404854047	(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
accuracy	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
accuracy	13.072646657493273	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	0.4885152184219411	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	18.00465892473248	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
accuracy	0	(*.f64 x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	33.18279909845522	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
accuracy	0	(expm1.f64 x)
accuracy	0.0078125	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
accuracy	0.25781112397081396	(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
accuracy	0.4924214684219411	(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))

Samples

89.0ms	65×	2	valid
42.0ms	172×	0	valid
11.0ms	19×	1	valid

Compiler

Compiled 248 to 32 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-log: 44.0ms (44.8% of total)

ival-mult: 12.0ms (12.2% of total)

adjust: 10.0ms (10.2% of total)

ival-add: 8.0ms (8.2% of total)

ival-div: 6.0ms (6.1% of total)

ival-expm1: 6.0ms (6.1% of total)

ival-sub: 5.0ms (5.1% of total)

ival-neg: 3.0ms (3.1% of total)

ival-log1p: 3.0ms (3.1% of total)

ival-exp: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series103.0ms (1.3%)

Memory

-11.3MiB live, 304.7MiB allocated

Counts

22 → 396

Calls

Call 1

Inputs
#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (patch (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (.f64 x y)) (patch (-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (*.f64 x (neg.f64 y))) #<representation binary64>) () ())
#s(alt (.f64 x (neg.f64 y)) (patch (.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (patch (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (patch (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (patch (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))) #<representation binary64>) () ())
#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 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 (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())

Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 x)) (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4))) (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1)) (taylor inf x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1)) (taylor inf x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1)) (taylor inf x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1)) (taylor inf x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1)) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1)) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1)) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1)) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (patch (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (log 1/2) (taylor 0 x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (* -1/2 x)) (taylor 0 x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (* x (- (* -1/8 x) 1/2))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) (taylor inf x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) (taylor inf x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) (taylor inf x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) (taylor inf x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (patch (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) #<representation binary64>) () ())) ())
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#s(alt (+ (log (+ 1 (exp x))) (* x y)) (taylor 0 y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* x y)) (taylor 0 y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* x y)) (taylor 0 y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (log (+ 1 (exp x))) y))) (taylor inf y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (log (+ 1 (exp x))) y))) (taylor inf y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (log (+ 1 (exp x))) y))) (taylor inf y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y))))) (taylor -inf y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y))))) (taylor -inf y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y))))) (taylor -inf y) (#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 x y (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* 1/2 x)) (taylor 0 x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) (taylor 0 x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (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 (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 (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 (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 y) (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2))))) (log 2))) (* -1/8 (/ (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))) (log 2)))))) (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (log (+ 1 (exp x))) (* x (pow y 2)))) (/ 1 y)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 y) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) (pow y 3)))) (/ (log (+ 1 (exp x))) (* x (pow y 2)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) (pow y 3)))) (/ (log (+ 1 (exp x))) (* x (pow y 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (log (+ 1 (exp x))) (* x (pow y 2))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 3))) (/ (log (+ 1 (exp x))) (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 4))) (/ (pow (log (+ 1 (exp x))) 2) (pow y 3))) x)) (/ (log (+ 1 (exp x))) (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log (+ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x y) (pow (log (+ 1 (exp x))) 2))) (/ 1 (log (+ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (/ (* (pow x 2) y) (pow (log (+ 1 (exp x))) 3)) (/ x (pow (log (+ 1 (exp x))) 2)))) (/ 1 (log (+ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow (log (+ 1 (exp x))) 4))) (* -1 (/ (pow x 2) (pow (log (+ 1 (exp x))) 3))))) (/ x (pow (log (+ 1 (exp x))) 2)))) (/ 1 (log (+ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (log (+ 1 (exp x))) (* (pow x 2) y))) (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) (pow y 2)))) (/ (log (+ 1 (exp x))) (* (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) (pow y 2)))) (/ (log (+ 1 (exp x))) (* (pow x 2) y)))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (log (+ 1 (exp x))) (* (pow x 2) y)) (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) y)) (/ (log (+ 1 (exp x))) (pow x 2))) y)) (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 4) y)) (/ (pow (log (+ 1 (exp x))) 2) (pow x 3))) y)) (/ (log (+ 1 (exp x))) (pow x 2))) y)) (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #<representation binary64>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
40.0ms	x	@	-inf	(log (/ (- (exp x) 1) (- (exp (+ x x)) 1)))
18.0ms	x	@	inf	(log (/ (- (exp x) 1) (- (exp (+ x x)) 1)))
8.0ms	y	@	0	(- (neg (log (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) (* x y))
3.0ms	y	@	0	(+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2))
2.0ms	x	@	-inf	(* (- (log (+ 1 (exp x))) (* x y)) (/ 1 (+ (* x y) (log (+ 1 (exp x))))))

simplify214.0ms (2.8%)

Memory

16.1MiB live, 489.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 968×	`lower-fma.f64`
5 968×	`lower-fma.f32`
5 624×	`lower-*.f64`
5 624×	`lower-*.f32`
2 242×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	4534
1	1529	4245
2	4714	4145
0	8133	3465

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 395

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))
(/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))
(/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))
(/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))
(log 1/2)
(+ (log 1/2) (* -1/2 x))
(+ (log 1/2) (* x (- (* -1/8 x) 1/2)))
(+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1)))
(log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1)))
(log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1)))
(log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1)))
(* -1 (log 1/2))
(- (* 1/2 x) (log 1/2))
(- (* x (+ 1/2 (* 1/8 x))) (log 1/2))
(- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))))
(* -1 (log 1/2))
(- (* x (- 1/2 y)) (log 1/2))
(- (* x (- (+ 1/2 (* 1/8 x)) y)) (log 1/2))
(- (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)) (log 1/2))
(* -1 (* x y))
(* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))
(* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))
(* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))
(* -1 (* x y))
(* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))) x) (* -1 y))))
(* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))) x) (* -1 y))))
(* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))) x) (* -1 y))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (* x y))
(* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))
(* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))
(* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))
(* -1 (* x y))
(* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))
(* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))
(* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) 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)))
(* -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 (- (* -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))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
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(* 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))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x 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))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(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))
(* 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 (- (* -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))) (* -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))
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(* -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 (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(* x y)
(* x y)
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(+ (log 2) (* x (- 1/2 y)))
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(* -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 (- (* -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))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
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(* y (- (/ (log (+ 1 (exp x))) y) x))
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(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
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(* 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 (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))))
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(+ (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 (* x y))
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(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
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(* -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)))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(* 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)))
(* 1/8 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)))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(* -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 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)))))
1/2
(+ 1/2 (* 1/8 x))
(+ 1/2 (* 1/8 x))
(+ 1/2 (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* 1/8 x)
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 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)))
(* -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 (- (* -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))) (* -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))))
1
(+ 1 (* x (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))))
(+ 1 (* x (- (* x (- (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ 1 (log 2))) (/ (* (+ 1/2 y) (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))) (log 2))))) (* 2 (/ y (log 2))))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* 1/8 (/ (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2))))) (log 2))) (/ (* (+ 1/2 y) (- (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ 1 (log 2))) (/ (* (+ 1/2 y) (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))) (log 2))))) (log 2))))) (/ (* (+ 1/2 y) (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))) (log 2)))) (* 2 (/ y (log 2))))))
-1
(- (/ (log (+ 1 (exp x))) (* x y)) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))
(- (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) y) (* -1 (/ (log (+ 1 (exp x))) y)))) (* (pow x 2) y))) (/ (log (+ 1 (exp x))) (* x y))) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))
(- (+ (/ (log (+ 1 (exp x))) (* x y)) (/ (* (pow (log (+ 1 (exp x))) 2) (- (/ (log (+ 1 (exp x))) y) (* -1 (/ (log (+ 1 (exp x))) y)))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (* -1 (/ (log (+ 1 (exp x))) (* x y))) (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) y) (* -1 (/ (log (+ 1 (exp x))) y)))) (* (pow x 2) y)))))
-1
(- (* -1 (/ (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y)) x)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y))) (* x y)))) (/ (log (+ 1 (exp x))) y)) x)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp x))) 2) (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y))) (* x (pow y 2)))) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y))) y))) x))) (/ (log (+ 1 (exp x))) y)) x)) 1)
1
(+ 1 (* y (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x)))))))
(+ 1 (* y (- (+ (* -1 (/ x (log (+ 1 (exp x))))) (* -1 (/ (* x (* y (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x))))))) (log (+ 1 (exp x)))))) (/ x (log (+ 1 (exp x)))))))
(+ 1 (* y (- (+ (* -1 (/ x (log (+ 1 (exp x))))) (* y (- (/ (* (pow x 2) (* y (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x))))))) (pow (log (+ 1 (exp x))) 2)) (/ (* x (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x)))))) (log (+ 1 (exp x))))))) (/ x (log (+ 1 (exp x)))))))
-1
(- (/ (log (+ 1 (exp x))) (* x y)) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))
(- (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) x) (* -1 (/ (log (+ 1 (exp x))) x)))) (* x (pow y 2)))) (/ (log (+ 1 (exp x))) (* x y))) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))
(- (+ (/ (log (+ 1 (exp x))) (* x y)) (/ (* (pow (log (+ 1 (exp x))) 2) (- (/ (log (+ 1 (exp x))) x) (* -1 (/ (log (+ 1 (exp x))) x)))) (* (pow x 2) (pow y 3)))) (+ 1 (+ (* -1 (/ (log (+ 1 (exp x))) (* x y))) (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) x) (* -1 (/ (log (+ 1 (exp x))) x)))) (* x (pow y 2))))))
-1
(- (* -1 (/ (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x)) y)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) (* x y)))) (/ (log (+ 1 (exp x))) x)) y)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp x))) 2) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) (* (pow x 2) y))) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) x))) y))) (/ (log (+ 1 (exp x))) x)) y)) 1)
(log 2)
(+ (log 2) (* x (+ 1/2 y)))
(+ (log 2) (* x (+ 1/2 (+ y (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ y (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(* x y)
(* x (+ y (/ (log (+ 1 (exp x))) x)))
(* x (+ y (/ (log (+ 1 (exp x))) x)))
(* x (+ y (/ (log (+ 1 (exp x))) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* x y))
(+ (log (+ 1 (exp x))) (* x y))
(+ (log (+ 1 (exp x))) (* x y))
(* x y)
(* y (+ x (/ (log (+ 1 (exp x))) y)))
(* y (+ x (/ (log (+ 1 (exp x))) y)))
(* y (+ x (/ (log (+ 1 (exp x))) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ 1 (log 2))
(+ (* -1 (* x (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 y) (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2))))) (log 2))) (* -1/8 (/ (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))) (log 2)))))) (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2)))
(/ 1 (* x y))
(/ (+ (* -1 (/ (log (+ 1 (exp x))) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (/ 1 y) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) (pow y 3)))) (/ (log (+ 1 (exp x))) (* x (pow y 2)))) x)
(/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) (pow y 3)))) (/ (log (+ 1 (exp x))) (* x (pow y 2))))) x)
(/ 1 (* x y))
(* -1 (/ (- (/ (log (+ 1 (exp x))) (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 3))) (/ (log (+ 1 (exp x))) (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 4))) (/ (pow (log (+ 1 (exp x))) 2) (pow y 3))) x)) (/ (log (+ 1 (exp x))) (pow y 2))) x)) (/ 1 y)) x))
(/ 1 (log (+ 1 (exp x))))
(+ (* -1 (/ (* x y) (pow (log (+ 1 (exp x))) 2))) (/ 1 (log (+ 1 (exp x)))))
(+ (* y (- (/ (* (pow x 2) y) (pow (log (+ 1 (exp x))) 3)) (/ x (pow (log (+ 1 (exp x))) 2)))) (/ 1 (log (+ 1 (exp x)))))
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow (log (+ 1 (exp x))) 4))) (* -1 (/ (pow x 2) (pow (log (+ 1 (exp x))) 3))))) (/ x (pow (log (+ 1 (exp x))) 2)))) (/ 1 (log (+ 1 (exp x)))))
(/ 1 (* x y))
(/ (+ (* -1 (/ (log (+ 1 (exp x))) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (/ 1 x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) (pow y 2)))) (/ (log (+ 1 (exp x))) (* (pow x 2) y))) y)
(/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) (pow y 2)))) (/ (log (+ 1 (exp x))) (* (pow x 2) y)))) y)
(/ 1 (* x y))
(* -1 (/ (- (/ (log (+ 1 (exp x))) (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) y)) (/ (log (+ 1 (exp x))) (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 4) y)) (/ (pow (log (+ 1 (exp x))) 2) (pow x 3))) y)) (/ (log (+ 1 (exp x))) (pow x 2))) y)) (/ 1 x)) y))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(/ (- (exp x) 1) (- (exp (neg (* -2 x))) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(log 1/2)
(log.f64 #s(literal 1/2 binary64))
(+ (log 1/2) (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (* x (- (* -1/8 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
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(fma.f64 (.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 y y)))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 (.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y)) (.f64 x x)) (.f64 #s(literal -2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x))) y)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x)) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y)) x))
(- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) (* x y)))) (/ (log (+ 1 (exp x))) x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 (.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y)) (.f64 x x)) (*.f64 #s(literal -2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x))) y))
(- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp x))) 2) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) (* (pow x 2) y))) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) x))) y))) (/ (log (+ 1 (exp x))) x)) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal -2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x)) (/.f64 (log1p.f64 (exp.f64 x)) x))) y) (.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x))) y))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ y (* 1/8 x)))))
(fma.f64 x (+.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ y (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (/ (log (+ 1 (exp x))) x)))
(*.f64 x (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(* x (+ y (/ (log (+ 1 (exp x))) x)))
(*.f64 x (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(* x (+ y (/ (log (+ 1 (exp x))) x)))
(*.f64 x (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))
(*.f64 x (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))
(*.f64 x (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))
(*.f64 x (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(* x y)
(*.f64 x y)
(* y (+ x (/ (log (+ 1 (exp x))) y)))
(*.f64 y (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(* y (+ x (/ (log (+ 1 (exp x))) y)))
(*.f64 y (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(* y (+ x (/ (log (+ 1 (exp x))) y)))
(*.f64 y (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 y (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 y (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 y (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(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 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (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))
(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))
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(/ 1 (log 2))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(+ (* -1 (* x (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2)))
(fma.f64 x (-.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2)))
(fma.f64 x (neg.f64 (fma.f64 x (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 y) (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2))))) (log 2))) (* -1/8 (/ (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))) (log 2)))))) (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2)))
(fma.f64 x (fma.f64 x (fma.f64 x (neg.f64 (fma.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (log.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (-.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (* -1 (/ (log (+ 1 (exp x))) (* x (pow y 2)))) (/ 1 y)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 x (.f64 y y)))))
(/ (- (+ (/ 1 y) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) (pow y 3)))) (/ (log (+ 1 (exp x))) (* x (pow y 2)))) x)
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 y y)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y (.f64 y y)))))) x)
(/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) (pow y 3)))) (/ (log (+ 1 (exp x))) (* x (pow y 2))))) x)
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y (.f64 y y))))) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 y y))))) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (/ (log (+ 1 (exp x))) (* x (pow y 2))) (/ 1 y)) x))
(neg.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 3))) (/ (log (+ 1 (exp x))) (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 y y)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y (.f64 y y)))))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 4))) (/ (pow (log (+ 1 (exp x))) 2) (pow y 3))) x)) (/ (log (+ 1 (exp x))) (pow y 2))) x)) (/ 1 y)) x))
(neg.f64 (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 x (.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 y (.f64 y y))))) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y y))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(/ 1 (log (+ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(+ (* -1 (/ (* x y) (pow (log (+ 1 (exp x))) 2))) (/ 1 (log (+ 1 (exp x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (/.f64 (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(+ (* y (- (/ (* (pow x 2) y) (pow (log (+ 1 (exp x))) 3)) (/ x (pow (log (+ 1 (exp x))) 2)))) (/ 1 (log (+ 1 (exp x)))))
(fma.f64 y (-.f64 (/.f64 (.f64 x (.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))))
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow (log (+ 1 (exp x))) 4))) (* -1 (/ (pow x 2) (pow (log (+ 1 (exp x))) 3))))) (/ x (pow (log (+ 1 (exp x))) 2)))) (/ 1 (log (+ 1 (exp x)))))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (.f64 x x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x y))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (* -1 (/ (log (+ 1 (exp x))) (* (pow x 2) y))) (/ 1 x)) y)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y (.f64 x (.f64 x y)))))
(/ (- (+ (/ 1 x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) (pow y 2)))) (/ (log (+ 1 (exp x))) (* (pow x 2) y))) y)
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 x y)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 y y))))) y)
(/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) (pow y 2)))) (/ (log (+ 1 (exp x))) (* (pow x 2) y)))) y)
(/.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 x y)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 y y))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x x) (.f64 x x))))) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (/ (log (+ 1 (exp x))) (* (pow x 2) y)) (/ 1 x)) y))
(neg.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y (.f64 x (.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) y)) (/ (log (+ 1 (exp x))) (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 x y)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 y y))))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 4) y)) (/ (pow (log (+ 1 (exp x))) 2) (pow x 3))) y)) (/ (log (+ 1 (exp x))) (pow x 2))) y)) (/ 1 x)) y))
(neg.f64 (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x y))))) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x x))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))

rewrite263.0ms (3.4%)

Memory

-2.5MiB live, 672.1MiB allocated

Rules

4 326×	`lower-fma.f32`
4 320×	`lower-fma.f64`
3 486×	`lower-*.f32`
3 478×	`lower-*.f64`
3 214×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	180
0	64	172
1	238	147
2	1892	142
0	9702	142

Stop Event

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

Counts

22 → 1 070

Calls

Call 1

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

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

eval251.0ms (3.2%)

Memory: -9.1MiB live, 780.3MiB allocated
Compiler: Compiled 50 594 to 4 480 computations (91.1% saved)

prune221.0ms (2.9%)

Memory

1.1MiB live, 735.2MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 761	10	1 771
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 767	12	1 779

Accuracy

100.0%

Counts

1 779 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.3%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	66.4%	(-.f64 (neg.f64 (log.f64 (/.f64 #s(approx (- (exp x) 1) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x)) (expm1.f64 (+.f64 x x))))) (.f64 x y))
	82.4%	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))))))
	76.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
	86.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
▶	57.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
	13.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
▶	25.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
✓	48.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
▶	53.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	19.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
▶	6.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))

Compiler

Compiled 345 to 198 computations (42.6% saved)

simplify148.0ms (1.9%)

Memory

6.1MiB live, 285.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff	192	(+.f64 #s(literal 0 binary64) y)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal 1/8 binary64)))
cost-diff	0	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
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

4 000×	`lower-fma.f32`
3 994×	`lower-fma.f64`
3 370×	`lower-*.f32`
3 362×	`lower-*.f64`
1 388×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	214
0	53	198
1	97	198
2	180	190
3	377	190
4	732	190
5	1652	190
6	3541	190
7	5509	190
8	7467	190
0	8146	180

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

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

localize81.0ms (1%)

Memory

5.7MiB live, 162.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
accuracy	13.072646657493273	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
accuracy	24.348382577543116	#s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	29.93589967184949	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
accuracy	31.527138247026688	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
accuracy	33.18279909845522	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
accuracy	0	(.f64 x (.f64 x #s(literal 1/8 binary64)))
accuracy	0	(*.f64 x #s(literal 1/8 binary64))
accuracy	13.072646657493273	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
accuracy	46.85429987958461	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64))))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
accuracy	0.4885152184219411	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	18.00465892473248	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

51.0ms

256×

valid

Compiler

Compiled 151 to 29 computations (80.8% saved)

Precisions

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

ival-mult: 13.0ms (39.2% of total)

ival-add: 5.0ms (15.1% of total)

ival-sub: 3.0ms (9% of total)

ival-log: 3.0ms (9% of total)

ival-log1p: 3.0ms (9% of total)

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

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

exact: 1.0ms (3% of total)

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

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

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

series19.0ms (0.2%)

Memory

-3.8MiB live, 34.3MiB allocated

Counts

20 → 336

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

Calls

84 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x (* x 1/8))
0.0ms	y	@	inf	(/ (- 0 (* y y)) (+ 0 y))
0.0ms	x	@	-inf	(* x 1/8)
0.0ms	y	@	inf	(- 0 (* y y))
0.0ms	x	@	inf	(* x (* x 1/8))

simplify207.0ms (2.7%)

Memory

11.6MiB live, 325.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 132×	`lower-fma.f64`
11 132×	`lower-fma.f32`
3 496×	`lower-*.f64`
3 496×	`lower-*.f32`
2 232×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	2281
1	423	2190
2	1050	2190
3	3882	2166
0	8259	1867

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 324

Calls

Call 1

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

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

rewrite270.0ms (3.5%)

Memory

-3.5MiB live, 478.3MiB allocated

Rules

4 338×	`lower-/.f32`
4 336×	`lower-/.f64`
4 030×	`lower-*.f32`
4 022×	`lower-*.f64`
3 414×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	199
0	53	183
1	209	175
2	1665	175
0	8525	165

Stop Event

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

Counts

20 → 466

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

Outputs
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))
(-.f64 (/.f64 (.f64 (.f64 y x) (.f64 y x)) (-.f64 (.f64 (neg.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)) (-.f64 (*.f64 (neg.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)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x))) (/.f64 (.f64 (.f64 y x) (.f64 y x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))))
(fma.f64 y (neg.f64 x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (.f64 y (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.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))))
(fma.f64 (.f64 x (.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) 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))))
(fma.f64 (/.f64 (.f64 x (.f64 y (neg.f64 y))) (*.f64 y (neg.f64 y))) (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (.f64 y y))) (*.f64 y y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 x (.f64 y x)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)))) (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y 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 (.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y 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)) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 x (*.f64 (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (.f64 x (.f64 y x)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)))) (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y 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 (/.f64 (-.f64 (.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 y x) (.f64 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 (neg.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (.f64 x (.f64 y x)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y 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)) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 x (*.f64 (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (neg.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)) (.f64 (.f64 y x) (.f64 y x))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) (-.f64 (.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 (neg.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 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #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 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (.f64 x (.f64 y x)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (neg.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 2 binary64)) (.f64 (.f64 y x) (.f64 y x)))) (neg.f64 (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x))))
(pow.f64 (/.f64 (fma.f64 y (.f64 x (.f64 y x)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)))) (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y 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 y (.f64 x (.f64 y x)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))))))
(.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(-.f64 (neg.f64 y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (*.f64 y y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))) y) y)
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y (*.f64 y y))))))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) (.f64 y y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y (neg.f64 (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y))))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 y)) y)
(/.f64 (.f64 y (.f64 y y)) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y y)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (.f64 y (.f64 y (.f64 y y))) y))
(/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 y (.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (.f64 y (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (*.f64 y y))
(/.f64 (.f64 (.f64 y (neg.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (.f64 (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (*.f64 y y))))
(/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))
(/.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) y)
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (*.f64 y y))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) y)))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 y (.f64 y y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (.f64 y (neg.f64 y)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64))) (neg.f64 y))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (neg.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(.f64 (/.f64 (.f64 y y) (*.f64 y y)) (neg.f64 y))
(.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (*.f64 y y))
(.f64 (pow.f64 (/.f64 y (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(.f64 (pow.f64 (/.f64 y (neg.f64 (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y 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 (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64))))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/8 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(-.f64 (neg.f64 y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (*.f64 y y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))) y) y)
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y (*.f64 y y))))))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) (.f64 y y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y (neg.f64 (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y))))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 y)) y)
(/.f64 (.f64 y (.f64 y y)) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y y)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y (*.f64 y y)))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/64 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/16 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(+.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 y) x) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 (.f64 (neg.f64 x) #s(literal 0 binary64)) (.f64 (neg.f64 y) x))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(fma.f64 y (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 y (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 y) x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) x (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 x (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 x (neg.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (.f64 y (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 y (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (.f64 y x) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 y x) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) y (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) y (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 (.f64 x (.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (.f64 x #s(literal -1 binary64)) y (.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 x #s(literal -1 binary64)) y (.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (neg.f64 y))) (neg.f64 y) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (neg.f64 y))) (neg.f64 y) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (.f64 y y))) (.f64 y y) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (.f64 y y))) (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(neg.f64 (*.f64 y x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 x (.f64 y (neg.f64 y))) y)
(/.f64 (neg.f64 (.f64 x (.f64 y (neg.f64 y)))) (neg.f64 y))
(/.f64 (.f64 x (.f64 y y)) (neg.f64 y))
(/.f64 (.f64 (neg.f64 x) (.f64 y (neg.f64 y))) (neg.f64 y))
(/.f64 (.f64 (neg.f64 x) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (.f64 y y) x) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 y (neg.f64 y))))) y)
(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 y (neg.f64 y)))) y)
(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 y (.f64 y y)))) (.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 (.f64 (.f64 y y) x)) y)
(pow.f64 (/.f64 y (.f64 x (.f64 y (neg.f64 y)))) #s(literal -1 binary64))
(*.f64 y (neg.f64 x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(.f64 #s(literal -1 binary64) (.f64 y x))
(*.f64 (neg.f64 x) y)
(.f64 (.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x #s(literal -1 binary64)) y)
(.f64 (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (neg.f64 y))) (neg.f64 y))
(.f64 (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (.f64 y y))) (.f64 y y))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y)))
(-.f64 (*.f64 y y) #s(literal 0 binary64))
(-.f64 (.f64 y y) (/.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(-.f64 (.f64 y y) (/.f64 #s(literal 0 binary64) (.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 y (neg.f64 y))))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (pow.f64 (/.f64 y y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 y (.f64 y (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 y (neg.f64 y))) #s(literal 2 binary64)) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(neg.f64 (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (neg.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y))))))
(/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (.f64 y (.f64 y (.f64 y y)))))
(/.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (neg.f64 y))) (neg.f64 (.f64 y (.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y))))) (.f64 y y))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64)) (.f64 y (.f64 y (.f64 y y))))
(/.f64 (-.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 0 binary64)) (.f64 y y))
(/.f64 (.f64 y (.f64 y (neg.f64 y))) (neg.f64 y))
(/.f64 (.f64 (.f64 y (neg.f64 y)) y) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))
(/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (neg.f64 y)))) (.f64 y (.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))))) (.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64))) (neg.f64 (.f64 y (.f64 y (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 0 binary64))) (.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (.f64 y (.f64 y (neg.f64 y)))) y)
(/.f64 (neg.f64 (.f64 (.f64 y (neg.f64 y)) y)) y)
(pow.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 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) (pow.f64 (/.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 2 binary64)))
(.f64 (.f64 y (.f64 y (.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(.f64 (.f64 y (.f64 y (.f64 y y))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (neg.f64 y)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 y (.f64 y (.f64 y y))))
(.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 y (neg.f64 y))) #s(literal 2 binary64)) (.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

eval92.0ms (1.2%)

Memory: -12.1MiB live, 263.6MiB allocated
Compiler: Compiled 12 152 to 1 346 computations (88.9% saved)

prune104.0ms (1.3%)

Memory

1.2MiB live, 281.9MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	778	13	791
Fresh	1	5	6
Picked	1	4	5
Done	0	1	1
Total	780	23	803

Accuracy

100.0%

Counts

803 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	66.4%	(-.f64 (neg.f64 (log.f64 (/.f64 #s(approx (- (exp x) 1) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x)) (expm1.f64 (+.f64 x x))))) (.f64 x y))
▶	82.4%	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))))))
	76.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
✓	57.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
▶	13.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	23.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
	48.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	23.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
	23.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
	4.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
	24.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
	18.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
	11.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
▶	8.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
	11.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
	24.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
✓	48.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓	53.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	19.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
▶	28.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
✓	6.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))

Compiler

Compiled 684 to 363 computations (46.9% saved)

simplify172.0ms (2.2%)

Memory

19.8MiB live, 311.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 x y))))
cost-diff	640	(.f64 #s(literal 0 binary64) (.f64 x y))
cost-diff	2944	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
cost-diff	0	(neg.f64 (.f64 y (.f64 y (*.f64 y y))))
cost-diff	0	(.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
cost-diff	2304	(/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
cost-diff	0	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
cost-diff	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
cost-diff	0	(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
cost-diff	0	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
cost-diff	0	(log1p.f64 (exp.f64 x))
cost-diff	0	(fma.f64 x y (log1p.f64 (exp.f64 x)))
cost-diff	0	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))))))
cost-diff	320	(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))))))

Rules

9 012×	`lower-fma.f32`
9 004×	`lower-fma.f64`
4 722×	`lower-*.f32`
4 696×	`lower-*.f64`
1 838×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	471
0	90	404
1	174	374
2	438	344
3	2050	344
4	5085	344
0	8705	340

Stop Event

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

Calls

Call 1

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

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

localize231.0ms (3%)

Memory

-15.6MiB live, 264.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.305647787056775	(.f64 x (.f64 y (*.f64 x y)))
accuracy	5.414032227357907	(.f64 #s(literal 0 binary64) (.f64 x y))
accuracy	33.18279909845522	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
accuracy	45.71490741864512	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
accuracy	0.0390625	(.f64 y (.f64 y (*.f64 y y)))
accuracy	0.08203125	(.f64 y (.f64 y y))
accuracy	33.18279909845522	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
accuracy	49.9981377179748	(/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y y)))
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	13.072646657493273	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
accuracy	23.139546162469482	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
accuracy	33.01997959061007	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))
accuracy	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
accuracy	0.00390625	(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
accuracy	13.072646657493273	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
accuracy	33.01997959061007	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
accuracy	0.11556625976844202	(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))))
accuracy	0.2538083562593383	(log1p.f64 (exp.f64 x))
accuracy	5.563552404854047	(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))))))
accuracy	21.274735808350524	#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))

Samples

87.0ms

256×

valid

Compiler

Compiled 390 to 42 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 21.0ms (38.9% of total)

ival-add: 11.0ms (20.4% of total)

ival-div: 8.0ms (14.8% of total)

ival-sub: 4.0ms (7.4% of total)

ival-log: 3.0ms (5.6% of total)

ival-log1p: 3.0ms (5.6% of total)

ival-exp: 2.0ms (3.7% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series38.0ms (0.5%)

Memory

-0.8MiB live, 76.5MiB allocated

Counts

27 → 564

Calls

Call 1

Inputs
#s(alt (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))))) (patch (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))))))) (patch (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())
#s(alt (fma.f64 x y (log1p.f64 (exp.f64 x))) (patch (fma.f64 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 #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (patch #s(approx (+ ( x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())
#s(alt (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (patch (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) (patch #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (patch (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y))) (patch (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y))))) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))) (patch (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (patch (neg.f64 (.f64 y (.f64 y (.f64 y y)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 x y))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 x y))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 0 binary64) (.f64 x y)) (patch (.f64 #s(literal 0 binary64) (.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 x y)))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 x y)))) #<representation binary64>) () ())
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#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
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#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 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())
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#s(alt (.f64 x (.f64 y (.f64 x y))) (patch (.f64 x (.f64 y (.f64 x y))) #<representation binary64>) () ())

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

Calls

141 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))
1.0ms	y	@	0	(* (* x x) (+ 1/8 (/ (- 1/2 y) x)))
1.0ms	x	@	0	(- 0 (* (* x y) (* x (* y (* x y)))))
1.0ms	y	@	0	(- 0 (* (* x y) (* x (* y (* x y)))))
0.0ms	y	@	inf	(* (* x x) (+ 1/8 (/ (- 1/2 y) x)))

simplify276.0ms (3.6%)

Memory

14.9MiB live, 409.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 914×	`lower-fma.f64`
5 914×	`lower-fma.f32`
5 542×	`lower-*.f64`
5 542×	`lower-*.f32`
2 246×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	430	5582
1	1405	5220
2	4587	5109
0	8263	4567

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
1
(+ 1 (* x (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))))
(+ 1 (* x (- (* x (- (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ 1 (log 2))) (/ (* (+ 1/2 y) (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))) (log 2))))) (* 2 (/ y (log 2))))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* 1/8 (/ (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2))))) (log 2))) (/ (* (+ 1/2 y) (- (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ 1 (log 2))) (/ (* (+ 1/2 y) (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))) (log 2))))) (log 2))))) (/ (* (+ 1/2 y) (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))) (log 2)))) (* 2 (/ y (log 2))))))
-1
(- (/ (log (+ 1 (exp x))) (* x y)) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))
(- (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) y) (* -1 (/ (log (+ 1 (exp x))) y)))) (* (pow x 2) y))) (/ (log (+ 1 (exp x))) (* x y))) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))
(- (+ (/ (log (+ 1 (exp x))) (* x y)) (/ (* (pow (log (+ 1 (exp x))) 2) (- (/ (log (+ 1 (exp x))) y) (* -1 (/ (log (+ 1 (exp x))) y)))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (* -1 (/ (log (+ 1 (exp x))) (* x y))) (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) y) (* -1 (/ (log (+ 1 (exp x))) y)))) (* (pow x 2) y)))))
-1
(- (* -1 (/ (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y)) x)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y))) (* x y)))) (/ (log (+ 1 (exp x))) y)) x)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp x))) 2) (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y))) (* x (pow y 2)))) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y))) y))) x))) (/ (log (+ 1 (exp x))) y)) x)) 1)
1
(+ 1 (* y (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x)))))))
(+ 1 (* y (- (+ (* -1 (/ x (log (+ 1 (exp x))))) (* -1 (/ (* x (* y (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x))))))) (log (+ 1 (exp x)))))) (/ x (log (+ 1 (exp x)))))))
(+ 1 (* y (- (+ (* -1 (/ x (log (+ 1 (exp x))))) (* y (- (/ (* (pow x 2) (* y (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x))))))) (pow (log (+ 1 (exp x))) 2)) (/ (* x (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x)))))) (log (+ 1 (exp x))))))) (/ x (log (+ 1 (exp x)))))))
-1
(- (/ (log (+ 1 (exp x))) (* x y)) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))
(- (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) x) (* -1 (/ (log (+ 1 (exp x))) x)))) (* x (pow y 2)))) (/ (log (+ 1 (exp x))) (* x y))) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))
(- (+ (/ (log (+ 1 (exp x))) (* x y)) (/ (* (pow (log (+ 1 (exp x))) 2) (- (/ (log (+ 1 (exp x))) x) (* -1 (/ (log (+ 1 (exp x))) x)))) (* (pow x 2) (pow y 3)))) (+ 1 (+ (* -1 (/ (log (+ 1 (exp x))) (* x y))) (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) x) (* -1 (/ (log (+ 1 (exp x))) x)))) (* x (pow y 2))))))
-1
(- (* -1 (/ (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x)) y)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) (* x y)))) (/ (log (+ 1 (exp x))) x)) y)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp x))) 2) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) (* (pow x 2) y))) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) x))) y))) (/ (log (+ 1 (exp x))) x)) y)) 1)
(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))
(* 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 (- (* -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))) (* -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) (* x (+ 1/2 y)))
(+ (log 2) (* x (+ 1/2 (+ y (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ y (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(* x y)
(* x (+ y (/ (log (+ 1 (exp x))) x)))
(* x (+ y (/ (log (+ 1 (exp x))) x)))
(* x (+ y (/ (log (+ 1 (exp x))) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* x y))
(+ (log (+ 1 (exp x))) (* x y))
(+ (log (+ 1 (exp x))) (* x y))
(* x y)
(* y (+ x (/ (log (+ 1 (exp x))) y)))
(* y (+ x (/ (log (+ 1 (exp x))) y)))
(* y (+ x (/ (log (+ 1 (exp x))) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* 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 (- (* -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))) (* -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) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 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 (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))))
(+ (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 (* 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 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
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Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))))
(fma.f64 x (/.f64 (*.f64 y #s(literal -2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
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-1
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(neg.f64 (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 x (.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 y y))))) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y y))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(/ 1 (log (+ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(+ (* -1 (/ (* x y) (pow (log (+ 1 (exp x))) 2))) (/ 1 (log (+ 1 (exp x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (/.f64 (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(+ (* y (- (/ (* (pow x 2) y) (pow (log (+ 1 (exp x))) 3)) (/ x (pow (log (+ 1 (exp x))) 2)))) (/ 1 (log (+ 1 (exp x)))))
(fma.f64 y (fma.f64 y (/.f64 (*.f64 x x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (/.f64 (neg.f64 x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))))
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow (log (+ 1 (exp x))) 4))) (* -1 (/ (pow x 2) (pow (log (+ 1 (exp x))) 3))))) (/ x (pow (log (+ 1 (exp x))) 2)))) (/ 1 (log (+ 1 (exp x)))))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (.f64 x x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x y))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (* -1 (/ (log (+ 1 (exp x))) (* (pow x 2) y))) (/ 1 x)) y)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 x (.f64 y y)))))
(/ (- (+ (/ 1 x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) (pow y 2)))) (/ (log (+ 1 (exp x))) (* (pow x 2) y))) y)
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 x y)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 x (.f64 x y)))))) y)
(/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) (pow y 2)))) (/ (log (+ 1 (exp x))) (* (pow x 2) y)))) y)
(/.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 x y)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 x (.f64 x y)))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 (.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64)))))) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (/ (log (+ 1 (exp x))) (* (pow x 2) y)) (/ 1 x)) y))
(neg.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) y)) (/ (log (+ 1 (exp x))) (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 x y)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 x (.f64 x y)))))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 4) y)) (/ (pow (log (+ 1 (exp x))) 2) (pow x 3))) y)) (/ (log (+ 1 (exp x))) (pow x 2))) y)) (/ 1 x)) y))
(neg.f64 (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 y (.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x y))))) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 x x))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (/ y x)) (* 1/2 (/ 1 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(+ (* -1 (/ y x)) (* 1/2 (/ 1 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(+ (* -1 (/ y x)) (* 1/2 (/ 1 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x)))
(* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x)))
(* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x)))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y))))))
(+.f64 (/.f64 y (neg.f64 x)) (.f64 y (/.f64 #s(literal 1/2 binary64) (.f64 x y))))
(* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y))))))
(+.f64 (/.f64 y (neg.f64 x)) (.f64 y (/.f64 #s(literal 1/2 binary64) (.f64 x y))))
(* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y))))))
(+.f64 (/.f64 y (neg.f64 x)) (.f64 y (/.f64 #s(literal 1/2 binary64) (.f64 x y))))
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y 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))
(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))
(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 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 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)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))

rewrite340.0ms (4.4%)

Memory

-6.2MiB live, 543.3MiB allocated

Rules

5 620×	`lower-fma.f32`
5 612×	`lower-fma.f64`
4 188×	`lower-/.f32`
4 180×	`lower-/.f64`
4 014×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	383
0	90	328
1	348	285
2	2864	255
0	9140	251

Stop Event

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

Counts

27 → 755

Calls

Call 1

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

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

eval170.0ms (2.2%)

Memory: 19.9MiB live, 412.9MiB allocated
Compiler: Compiled 34 016 to 2 586 computations (92.4% saved)

prune331.0ms (4.3%)

Memory

-10.9MiB live, 640.4MiB allocated

Pruning

43 alts after pruning (37 fresh and 6 done)

	Pruned	Kept	Total
New	1 334	31	1 365
Fresh	7	6	13
Picked	4	1	5
Done	0	5	5
Total	1 345	43	1 388

Accuracy

100.0%

Counts

1 388 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	66.4%	(-.f64 (neg.f64 (log.f64 (/.f64 #s(approx (- (exp x) 1) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x)) (expm1.f64 (+.f64 x x))))) (.f64 x y))
	83.1%	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))))))
	76.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
✓	57.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
	26.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
	12.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	12.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
	13.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
	12.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	13.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	6.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
	4.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	23.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
	13.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
	48.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	23.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
	48.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
	23.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
	23.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
	6.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
	5.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))
✓	8.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
	24.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
✓	48.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓	53.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	17.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
	26.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
	4.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
	8.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
	19.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
	17.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
	17.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
	19.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
	18.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
	19.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
	6.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
✓	6.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
	6.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
	35.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
	26.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
	28.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))

Compiler

Compiled 1 857 to 623 computations (66.5% saved)

regimes62.0ms (0.8%)

Memory

14.5MiB live, 133.5MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (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 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(approx (- (exp x) 1) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x)) (expm1.f64 (+.f64 x x))))) (.f64 x y))
(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))))))
(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))))))
(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))))

Outputs
(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))

Calls

3 calls:

20.0ms	x
20.0ms	y
18.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x 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)

regimes58.0ms (0.8%)

Memory

-35.6MiB live, 124.7MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (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 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(approx (- (exp x) 1) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x)) (expm1.f64 (+.f64 x x))))) (.f64 x y))

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

Calls

3 calls:

18.0ms	y
18.0ms	x
14.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x 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)

regimes50.0ms (0.6%)

Memory

38.2MiB live, 116.5MiB allocated

Counts

57 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (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 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))

Outputs

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

#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	2	`x`
91.3%	1	`y`
98.9%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes19.0ms (0.2%)

Memory

-36.8MiB live, 44.1MiB allocated

Counts

54 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (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 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))

Outputs

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

5.0MiB live, 44.1MiB allocated

Counts

53 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (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 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory

-0.5MiB live, 38.9MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (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 x (neg.f64 y)))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory

-0.1MiB live, 39.1MiB allocated

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (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 x (neg.f64 y)))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.4%)

Memory

20.9MiB live, 65.1MiB allocated

Counts

48 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))

Outputs

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

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

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

Calls

2 calls:

14.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
13.0ms	x

Results

Accuracy	Segments	Branch
98.4%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
85.9%	2	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes15.0ms (0.2%)

Memory

-4.0MiB live, 35.4MiB allocated

Counts

47 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Outputs

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

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
97.9%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes44.0ms (0.6%)

Memory

1.7MiB live, 120.9MiB allocated

Accuracy

Total -30.7b remaining (-92.4%)

Threshold costs -30.7b (-92.4%)

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (/.f64 y (neg.f64 x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- (+ (* x 1/8) 1/2) y)) (*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x y) #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* (* x x) (+ 1/8 (/ (- 1/2 y) x))) (.f64 y (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x x) y) (neg.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (neg.f64 (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) #s(approx (/ (- 1/2 y) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 y (neg.f64 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 x (.f64 y (.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 x y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 x y)) (.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 (.f64 x y)) (.f64 y (.f64 x y))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) x) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (*.f64 y y)))))

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

Calls

3 calls:

15.0ms	x
13.0ms	y
13.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
48.2%	1	`x`
48.2%	1	`y`
48.2%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch17.0ms (0.2%)

Memory

-3.8MiB live, 34.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-1434883596251.5164	-864741.6788067365

Samples

8.0ms

144×

valid

Compiler

Compiled 257 to 173 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (42.2% of total)

ival-sub: 1.0ms (21.1% of total)

ival-log1p: 1.0ms (21.1% of total)

ival-mult: 1.0ms (21.1% of total)

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

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

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	-1434883596251.5164	-864741.6788067365

Compiler

Compiled 212 to 146 computations (31.1% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1434883596251.5164	-864741.6788067365

Compiler

Compiled 185 to 128 computations (30.8% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1434883596251.5164	-864741.6788067365

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	-1434883596251.5164	-864741.6788067365

Compiler

Compiled 176 to 119 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.693957763732743	1255.1531406677782
0.0ms	4.2637951901787476e-37	0.5793758848369922

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.693957763732743	1255.1531406677782
0.0ms	4.2637951901787476e-37	0.5793758848369922

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify103.0ms (1.3%)

Memory

-17.5MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
22×	`sub-neg_binary64`
14×	`*-commutative_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	355
1	91	355
2	108	355
3	119	355
4	123	355
5	124	355

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -880000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -880000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -880000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -880000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -880000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2993155353253689/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2993155353253689/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))

Outputs
(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
(-.f64 (*.f64 x (neg.f64 y)) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -880000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -880000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -880000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -880000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -880000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2993155353253689/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2993155353253689/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))

soundness1.3s (16.9%)

Memory

32.2MiB live, 858.4MiB allocated

Rules

11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
11 132×	`lower-fma.f64`
11 132×	`lower-fma.f32`
5 968×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	2281
1	423	2190
2	1050	2190
3	3882	2166
0	8259	1867
0	8	20
0	13	20
1	47	20
2	311	20
3	2718	20
0	9051	16
0	67	400
1	180	400
2	389	400
3	1353	400
4	4014	370
5	6856	370
0	8132	300
0	37	180
0	64	172
1	238	147
2	1892	142
0	9702	142
0	490	4534
1	1529	4245
2	4714	4145
0	8133	3465

Stop Event

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

Compiler

Compiled 371 to 164 computations (55.8% saved)

preprocess145.0ms (1.9%)

Memory: -3.3MiB live, 276.9MiB allocated
Compiler: Compiled 482 to 148 computations (69.3% saved)

end0.0ms (0%)

Memory: 0.1MiB 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%)

analyze66.0ms (0.8%)

sample1.0s (13%)

explain100.0ms (1.3%)

preprocess38.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.2%)

localize28.0ms (0.4%)

series59.0ms (0.8%)

simplify193.0ms (2.5%)

rewrite258.0ms (3.3%)

eval54.0ms (0.7%)

prune63.0ms (0.8%)

simplify238.0ms (3.1%)

localize188.0ms (2.4%)

series103.0ms (1.3%)

simplify214.0ms (2.8%)

rewrite263.0ms (3.4%)

eval251.0ms (3.2%)

prune221.0ms (2.9%)

simplify148.0ms (1.9%)

localize81.0ms (1%)

series19.0ms (0.2%)

simplify207.0ms (2.7%)

rewrite270.0ms (3.5%)

eval92.0ms (1.2%)

prune104.0ms (1.3%)

simplify172.0ms (2.2%)

localize231.0ms (3%)

series38.0ms (0.5%)

simplify276.0ms (3.6%)

rewrite340.0ms (4.4%)

eval170.0ms (2.2%)

prune331.0ms (4.3%)

regimes62.0ms (0.8%)

regimes58.0ms (0.8%)

regimes50.0ms (0.6%)

regimes19.0ms (0.2%)

regimes19.0ms (0.2%)

regimes17.0ms (0.2%)

regimes17.0ms (0.2%)

regimes30.0ms (0.4%)

regimes15.0ms (0.2%)

regimes44.0ms (0.6%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify103.0ms (1.3%)

soundness1.3s (16.9%)

preprocess145.0ms (1.9%)

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