Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze112.0ms (1.5%)

Memory

-13.1MiB live, 107.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (15%)

Memory

33.0MiB live, 2 057.5MiB allocated

Samples

504.0ms	8 256×	0	valid
206.0ms	2 699×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 413.0ms

ival-log1p: 120.0ms (29.1% of total)

ival-exp: 112.0ms (27.1% of total)

ival-mult: 81.0ms (19.6% of total)

ival-sub: 48.0ms (11.6% of total)

adjust: 40.0ms (9.7% of total)

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

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

Bogosity

explain100.0ms (1.3%)

Memory

-16.0MiB live, 267.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
3	84	(-1.5507691622621953e+209 9.540112617136755e+173)	-	`(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	3	0
↳	`(exp.f64 x)`	overflow	3
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	3

Confusion

	Predicted +	Predicted -
+	3	0
-	84	169

Precision

0.034482758620689655

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	84	0	169

Precision?

0.034482758620689655

Recall?

1.0

Freqs

test

number	freq
0	169
1	87

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 67 to 28 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log1p: 6.0ms (28.3% of total)

ival-exp: 4.0ms (18.9% of total)

ival-add: 4.0ms (18.9% of total)

ival-mult: 4.0ms (18.9% of total)

ival-sub: 3.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess31.0ms (0.4%)

Memory

-5.8MiB live, 72.8MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify11.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB 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

localize34.0ms (0.4%)

Memory

-26.6MiB live, 91.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(exp.f64 x)
accuracy	0.01171875	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.7263071348341484	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

21.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 5.0ms (35.7% of total)

ival-exp: 3.0ms (21.4% of total)

ival-log1p: 3.0ms (21.4% of total)

ival-sub: 1.0ms (7.1% of total)

ival-add: 1.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.9%)

Memory

20.7MiB live, 178.7MiB allocated

Counts

5 → 84

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>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<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>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
32.0ms	x	@	inf	(log (+ 1 (exp x)))
27.0ms	x	@	-inf	(log (+ 1 (exp x)))
3.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
0.0ms	x	@	0	(log (+ 1 (exp x)))
0.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))

simplify188.0ms (2.5%)

Memory

-4.8MiB live, 330.4MiB 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	472
1	180	472
2	389	472
3	1353	472
4	4014	442
5	6856	442
0	8132	372

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

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)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

rewrite239.0ms (3.1%)

Memory

-30.0MiB live, 487.0MiB 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	23
0	13	23
1	47	23
2	311	23
3	2718	23
0	9051	19

Stop Event

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

Counts

5 → 368

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)
(*.f64 x y)

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

eval70.0ms (0.9%)

Memory: 29.2MiB live, 151.8MiB allocated
Compiler: Compiled 15 452 to 1 462 computations (90.5% saved)

prune160.0ms (2.1%)

Memory

0.9MiB live, 159.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	444	8	452
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	445	8	453

Accuracy

99.2%

Counts

453 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.7%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	57.9%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y)))))
▶	72.2%	#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))))
	80.1%	#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))))
▶	85.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
▶	46.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	54.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	53.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 184 to 120 computations (34.8% saved)

simplify202.0ms (2.7%)

Memory

2.6MiB live, 280.9MiB 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	0	(/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))
cost-diff	21312	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y)))))
cost-diff	0	(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(-.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)
cost-diff	0	(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)))
cost-diff	0	#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))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 x (-.f64 #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 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
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 x y)
cost-diff	0	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff	0	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))

Rules

10 562×	`lower-fma.f32`
10 552×	`lower-fma.f64`
3 154×	`lower-*.f32`
3 140×	`lower-*.f64`
1 936×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	234
0	66	234
1	114	232
2	216	232
3	522	232
4	1338	219
5	2421	219
6	4456	219
7	6301	219
0	8151	219

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (2%)

Memory

-9.2MiB live, 273.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.7263071348341484	(log1p.f64 (exp.f64 x))
accuracy	2.720272439720949	(.f64 x (.f64 x (*.f64 y y)))
accuracy	7.275878611415877	(.f64 x (.f64 y y))
accuracy	15.069864730259122	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y)))))
accuracy	0.015625	(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)))
accuracy	0.03125	(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy	0.28455061316806185	(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
accuracy	17.816245961007425	#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))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
accuracy	9.337154358100609	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	34.234121029727845	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	0.7263071348341484	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	18.673259893532855	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

82.0ms

256×

valid

Compiler

Compiled 233 to 36 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 19.0ms (30.4% of total)

ival-log1p: 14.0ms (22.4% of total)

ival-add: 9.0ms (14.4% of total)

ival-sub: 4.0ms (6.4% of total)

const: 4.0ms (6.4% of total)

ival-pow2: 4.0ms (6.4% of total)

ival-log: 3.0ms (4.8% of total)

ival-div: 2.0ms (3.2% of total)

ival-exp: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series39.0ms (0.5%)

Memory

6.8MiB live, 85.1MiB allocated

Counts

22 → 420

Calls

Call 1

Inputs
#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (patch (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 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 #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #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 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) y) (patch (-.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (-.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) (patch (-.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) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) #<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>) () ())
#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 (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (.f64 y y))) (patch (.f64 x (.f64 x (.f64 y y))) #<representation binary64>) () ())

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

Calls

105 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+ (* x (- 1/2 y)) (log 2))
3.0ms	x	@	0	(+ (* x (- 1/2 y)) (log 2))
1.0ms	x	@	inf	(* (/ 1 (+ (* x y) (log (+ 1 (exp x))))) (- (pow (log (+ 1 (exp x))) 2) (* x (* x (* y y)))))
1.0ms	x	@	0	(* (/ 1 (+ (* x y) (log (+ 1 (exp x))))) (- (pow (log (+ 1 (exp x))) 2) (* x (* x (* y y)))))
1.0ms	x	@	0	(/ 1 (+ (* x y) (log (+ 1 (exp x)))))

simplify302.0ms (4%)

Memory

-20.0MiB live, 455.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 352×	`lower-fma.f64`
8 352×	`lower-fma.f32`
6 210×	`lower-*.f64`
6 210×	`lower-*.f32`
2 722×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	4050
1	1132	3990
2	3536	3970
0	8257	3525

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

rewrite290.0ms (3.8%)

Memory

16.5MiB live, 559.6MiB allocated

Rules

5 664×	`lower-fma.f32`
5 654×	`lower-fma.f64`
4 310×	`lower-*.f32`
4 296×	`lower-*.f64`
3 638×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	187
0	66	187
1	251	170
2	1852	170
0	8465	170

Stop Event

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

Counts

22 → 629

Calls

Call 1

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

Outputs
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (.f64 x (.f64 x (*.f64 y y))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (.f64 x y)))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(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 #s(literal -1 binary64) (*.f64 x y) (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 #s(literal -1 binary64)) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (.f64 x y))))))
(/.f64 (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (.f64 x y)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))) (neg.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))) (neg.f64 (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 x (.f64 x (.f64 y y))))) (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y))))) (neg.f64 (neg.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 y y))) (neg.f64 (.f64 x y)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 x (.f64 x (.f64 y y)) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 x y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (.f64 x (.f64 x (*.f64 y y))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))))
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(pow.f64 (/.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/64 binary64)) (.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
(.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal -1/8 binary64))))
(.f64 x (.f64 y y))
(.f64 y (.f64 x y))
(.f64 (.f64 x y) y)
(.f64 (.f64 y y) x)
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 x y)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 y 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 x (*.f64 y y)) x)
(.f64 (neg.f64 (.f64 x y)) (neg.f64 (*.f64 x y)))
(.f64 (.f64 (*.f64 x y) x) y)
(.f64 (.f64 x (*.f64 x y)) y)
(.f64 (.f64 (*.f64 x x) y) y)

eval241.0ms (3.2%)

Memory: 27.6MiB live, 391.3MiB allocated
Compiler: Compiled 38 601 to 2 750 computations (92.9% saved)

prune146.0ms (1.9%)

Memory

-36.4MiB live, 330.4MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 072	12	1 084
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	1 076	16	1 092

Accuracy

99.2%

Counts

1 092 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.7%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
▶	80.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
✓	85.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
	57.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
	53.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	62.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
▶	6.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
▶	72.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.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))))
	65.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
	12.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
	30.1%	#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))))
✓	46.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	54.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	53.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	33.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
	85.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))

Compiler

Compiled 465 to 261 computations (43.9% saved)

simplify210.0ms (2.8%)

Memory

14.7MiB live, 364.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.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)
cost-diff	0	(.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))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.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))))
cost-diff	128	(+.f64 (.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)))
cost-diff	0	(fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y)
cost-diff	0	(fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #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(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (*.f64 y y)))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) 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	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))

Rules

14 812×	`lower-fma.f32`
14 800×	`lower-fma.f64`
3 564×	`lower-/.f32`
3 562×	`lower-/.f64`
3 470×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	395
0	82	364
1	152	362
2	317	318
3	1421	318
4	4716	318
0	8428	306

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

localize139.0ms (1.8%)

Memory

21.3MiB live, 265.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(.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))
accuracy	0.03125	(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy	0.28455061316806185	(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
accuracy	17.816245961007425	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.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))))
accuracy	0.015625	(fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
accuracy	0.03125	(fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy	17.816245961007425	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
accuracy	22.173760470715134	#s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64))
accuracy	7.136678845153607	(.f64 #s(literal 0 binary64) (.f64 x y))
accuracy	7.275878611415877	(.f64 x (.f64 y y))
accuracy	34.234121029727845	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
accuracy	46.303853694535015	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.01171875	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
accuracy	9.337154358100609	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
accuracy	34.0112978076478	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
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	0.7263071348341484	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	18.673259893532855	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

73.0ms

256×

valid

Compiler

Compiled 319 to 39 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 17.0ms (36.1% of total)

ival-add: 10.0ms (21.2% of total)

ival-sub: 4.0ms (8.5% of total)

const: 4.0ms (8.5% of total)

ival-log: 3.0ms (6.4% of total)

ival-log1p: 3.0ms (6.4% of total)

ival-exp: 2.0ms (4.2% of total)

ival-div: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

series32.0ms (0.4%)

Memory

-11.1MiB live, 64.4MiB allocated

Counts

25 → 504

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 (- 1/2 y)) (log 2)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (patch #s(approx (+ ( x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) y) (patch (-.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (patch (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #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(approx (+ (* -1/192 (* x x)) 1/8) #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(approx (+ (* -1/192 (* x x)) 1/8) #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(approx (+ (* -1/192 (* x x)) 1/8) #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(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (.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))) (patch (+.f64 (.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))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.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)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.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)))) #<representation binary64>) () ())
#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())
#s(alt (-.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) (patch (-.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) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<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>) () ())) ())
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#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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt 1/8 (taylor 0 x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/8 (* -1/192 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/8 (* -1/192 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/8 (* -1/192 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor inf x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor inf x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor inf x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor -inf x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor -inf x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor -inf x) (#s(alt #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) (patch #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/8 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/8 (* -1/192 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/8 (* -1/192 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/8 (* -1/192 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/8 x)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- 0 (* (* x y) (* x (* x (* y y)))))
1.0ms	y	@	0	(- 0 (* (* x y) (* x (* x (* y y)))))
0.0ms	x	@	inf	(- 0 (* (* x y) (* x (* x (* y y)))))
0.0ms	y	@	inf	(- 0 (* (* x y) (* x (* x (* y y)))))
0.0ms	y	@	-inf	(- 0 (* (* x y) (* x (* x (* y y)))))

simplify190.0ms (2.5%)

Memory

4.9MiB live, 358.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 904×	`lower-fma.f64`
6 904×	`lower-fma.f32`
3 424×	`lower-*.f64`
3 424×	`lower-*.f32`
2 422×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	4562
1	625	4501
2	1825	4419
3	5740	4380
0	8283	3987

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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)))))
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(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
1/2
(+ 1/2 (* 1/8 x))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1/192 (pow x 3))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 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)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 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)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (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)
(* -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))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 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))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (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 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (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)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 2 binary64)))))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 2 binary64)))))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 2 binary64)))))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 2 binary64)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 2 binary64)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1 binary64) (neg.f64 (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) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x (neg.f64 y)))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x (neg.f64 y)))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x (neg.f64 y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x (neg.f64 y)))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x (neg.f64 y)))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x (neg.f64 y)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) 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))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
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(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) y))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) y))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) 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))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 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))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
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 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* -1/192 (pow x 3))
(.f64 #s(literal -1/192 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))))
(* -1/192 (pow x 3))
(.f64 #s(literal -1/192 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))

rewrite137.0ms (1.8%)

Memory

-4.2MiB live, 239.7MiB allocated

Rules

1 724×	`lower-fma.f32`
1 712×	`lower-fma.f64`
1 344×	`lower-*.f32`
1 328×	`lower-*.f64`
928×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	332
0	82	307
1	337	280
0	2797	268

Stop Event

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

Counts

25 → 367

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

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 y (.f64 y (.f64 x 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))))))
(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 #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 #s(literal -1 binary64)) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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 y (.f64 y (.f64 x x)))) (fma.f64 (neg.f64 y) (.f64 x (.f64 y (.f64 y (.f64 x x)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (.f64 y (.f64 y (.f64 x x))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 y) (.f64 x (.f64 y (.f64 y (.f64 x x)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)) (.f64 y (.f64 y (.f64 x x)))))
(/.f64 (fma.f64 (neg.f64 y) (.f64 x (.f64 y (.f64 y (.f64 x x)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (.f64 y (.f64 y (.f64 x 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 (neg.f64 y) (.f64 x (.f64 y (.f64 y (.f64 x x)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)) (.f64 y (.f64 y (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 y (.f64 x 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 y (.f64 y (.f64 x x)))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)))
(.f64 (fma.f64 (neg.f64 y) (.f64 x (.f64 y (.f64 y (.f64 x x)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x)) (.f64 y (.f64 y (*.f64 x x))))))
(.f64 (-.f64 (.f64 y (.f64 y (.f64 x 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 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) 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 (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (neg.f64 y) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 y) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 y) x))
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#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 x x))) (neg.f64 (.f64 y (.f64 y (.f64 x x))))))
(.f64 y (.f64 y x))
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(.f64 (.f64 y x) y)
(.f64 (.f64 y y) x)
#s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64))
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(/.f64 (fma.f64 (.f64 #s(literal -1/192 binary64) (.f64 x x)) (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
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(/.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/192 binary64) (.f64 x x)) (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x))))
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(+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))
(+.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 x (.f64 #s(literal -1/192 binary64) (*.f64 x x))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/192 binary64) (.f64 x x)))) (.f64 x #s(literal 1/8 binary64)))
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(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (.f64 #s(literal -1/192 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/192 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal -1/192 binary64) (.f64 x x)) x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal -1/192 binary64)) (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/192 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
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(/.f64 (neg.f64 (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
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(.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))

eval239.0ms (3.1%)

Memory: 31.8MiB live, 221.2MiB allocated
Compiler: Compiled 20 249 to 1 305 computations (93.6% saved)

prune217.0ms (2.9%)

Memory

-38.0MiB live, 384.2MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	888	11	899
Fresh	1	8	9
Picked	2	3	5
Done	0	2	2
Total	891	24	915

Accuracy

99.2%

Counts

915 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.7%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
✓	80.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
✓	85.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
	57.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
▶	53.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	62.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
	4.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))))))
	6.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 (.f64 x x) y) y)))
	6.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 y (.f64 y x))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
▶	5.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	7.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 x x))) (neg.f64 (.f64 y (.f64 y (.f64 x x))))))
	57.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.f64 x #s(approx (- (+ ( x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
	7.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))) (neg.f64 (.f64 (.f64 y (.f64 y x)) (.f64 y (*.f64 x x))))))
	65.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
▶	12.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
	30.1%	#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))))
✓	46.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	54.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	53.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	19.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
	23.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
✓	33.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
▶	85.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
▶	3.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

Compiler

Compiled 797 to 427 computations (46.4% saved)

simplify190.0ms (2.5%)

Memory

4.4MiB live, 270.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x #s(approx (- 1/2 y) #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 (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
cost-diff	64	(fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))
cost-diff	320	(*.f64 #s(literal 0 binary64) y)
cost-diff	1664	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
cost-diff	0	(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
cost-diff	0	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))

Rules

3 444×	`lower-fma.f32`
3 438×	`lower-fma.f64`
3 316×	`lower-/.f32`
3 310×	`lower-/.f64`
2 430×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	411
0	76	343
1	159	328
2	318	284
3	1470	284
4	5124	284
0	8328	270

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (1.7%)

Memory

19.8MiB live, 333.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
accuracy	9.337154358100609	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
accuracy	29.66633222374265	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	7.275878611415877	(.f64 x (.f64 y y))
accuracy	9.895800776394461	(.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (*.f64 y y))
accuracy	34.234121029727845	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
accuracy	46.303853694535015	(/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
accuracy	0	(*.f64 #s(literal 0 binary64) y)
accuracy	0.08984375	(.f64 y (.f64 y y))
accuracy	34.234121029727845	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
accuracy	41.078999103745986	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
accuracy	0.01171875	(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
accuracy	9.337154358100609	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
accuracy	29.66633222374265	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	34.0112978076478	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
accuracy	0.0078125	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
accuracy	0.13671875	(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
accuracy	0.21484375	(/.f64 (log.f64 #s(literal 2 binary64)) x)
accuracy	9.337154358100609	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))

Samples

76.0ms

256×

valid

Compiler

Compiled 300 to 38 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 22.0ms (43.3% of total)

ival-add: 6.0ms (11.8% of total)

ival-div: 5.0ms (9.8% of total)

ival-exp: 5.0ms (9.8% of total)

ival-sub: 5.0ms (9.8% of total)

ival-log: 3.0ms (5.9% of total)

ival-log1p: 3.0ms (5.9% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series191.0ms (2.5%)

Memory

1.7MiB live, 171.6MiB allocated

Counts

26 → 516

Calls

Call 1

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

Outputs
#s(alt (log 2) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- 1/2 y))) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) 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 #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) 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)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) 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)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) 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)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) 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)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) 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)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) 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)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) (patch #s(approx (+ ( x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- 1/2 y))) (taylor 0 x) (#s(alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) (patch #s(approx (+ ( x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- 1/2 y))) (taylor 0 x) (#s(alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) (patch #s(approx (+ ( x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- 1/2 y))) (taylor 0 x) (#s(alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) (patch #s(approx (+ ( x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 y)) (taylor inf x) (#s(alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) (patch #s(approx (+ ( x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/2 (/ (log 2) x)) y)) (taylor inf x) (#s(alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) (patch #s(approx (+ ( x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/2 (/ (log 2) x)) y)) (taylor inf x) (#s(alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) (patch #s(approx (+ ( x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) #<representation binary64>) () ())) ())
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#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))))) (patch #s(approx (- (log (+ 1 (exp x))) ( x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (patch (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 x (.f64 y y)) (patch (.f64 x (.f64 y y)) #<representation binary64>) () ())) ())

Calls

129 calls:

Time	Variable		Point	Expression
137.0ms	x	@	0	(/ (log 2) x)
7.0ms	x	@	inf	(/ (log 2) x)
6.0ms	x	@	0	(+ 1/2 (- (/ (log 2) x) y))
2.0ms	x	@	0	(* x (+ 1/2 (- (/ (log 2) x) y)))
1.0ms	y	@	inf	(/ (- 0 (* y (* y y))) (+ 0 (+ (* y y) (* 0 y))))

simplify253.0ms (3.3%)

Memory

-18.1MiB live, 374.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 862×	`lower-fma.f64`
8 862×	`lower-fma.f32`
2 630×	`lower-*.f64`
2 630×	`lower-*.f32`
2 392×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	3218
1	368	3200
2	1028	3200
3	4120	3200
4	7054	3200
0	8157	2931

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(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)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* x (+ 1/2 (/ (log 2) x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)))))
(/ (log 2) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(- 1/2 y)
(- (+ 1/2 (/ (log 2) x)) y)
(- (+ 1/2 (/ (log 2) x)) y)
(- (+ 1/2 (/ (log 2) x)) y)
(- 1/2 y)
(- (+ 1/2 (/ (log 2) x)) y)
(- (+ 1/2 (/ (log 2) x)) y)
(- (+ 1/2 (/ (log 2) x)) y)
(+ 1/2 (/ (log 2) x))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(* -1 y)
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(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
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(* -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)))
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(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
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(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
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(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
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(* y (- (* 1/2 (/ 1 y)) 1))
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(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
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(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
0
0
0
0
0
0
0
0
0
0
0
0
(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)
(* -1 (pow y 3))
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(* -1 (pow y 3))
(* -1 (pow y 3))
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(* -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))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
0
0
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(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(log 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))
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(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
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(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
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(* -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)))
(+ (log 2) (* x (- 1/2 y)))
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(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
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(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (+ (log 2) (* -1 (* x y))) x)
(/ (+ (log 2) (* -1 (* x y))) x)
(/ (+ (log 2) (* -1 (* x y))) x)
(* -1 y)
(- (/ (log 2) x) y)
(- (/ (log 2) x) y)
(- (/ (log 2) x) y)
(* -1 y)
(- (/ (log 2) x) y)
(- (/ (log 2) x) y)
(- (/ (log 2) x) y)
(/ (log 2) x)
(+ (* -1 y) (/ (log 2) x))
(+ (* -1 y) (/ (log 2) x))
(+ (* -1 y) (/ (log 2) x))
(* -1 y)
(* y (- (/ (log 2) (* x y)) 1))
(* y (- (/ (log 2) (* x y)) 1))
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(* -1 (* y (+ 1 (* -1 (/ (log 2) (* x y))))))
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(log 2)
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(* -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)))
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(* -1 (* x y))
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(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
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(* -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)))
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(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
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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 (* (pow x 3) (pow y 3)))
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(* -1 (* (pow x 3) (pow y 3)))
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(* -1 (* (pow x 3) (pow y 3)))
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(* -1 (* (pow x 3) (pow y 3)))
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(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))

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

rewrite281.0ms (3.7%)

Memory

30.2MiB live, 576.4MiB allocated

Rules

4 386×	`lower-*.f32`
4 364×	`lower-*.f64`
3 608×	`lower-fma.f32`
3 602×	`lower-fma.f64`
3 590×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	339
0	76	288
1	328	243
2	2802	231
0	8464	217

Stop Event

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

Counts

26 → 885

Calls

Call 1

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

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

eval201.0ms (2.6%)

Memory: 9.6MiB live, 537.0MiB allocated
Compiler: Compiled 37 233 to 3 475 computations (90.7% saved)

prune292.0ms (3.8%)

Memory

-4.5MiB live, 629.2MiB allocated

Pruning

36 alts after pruning (28 fresh and 8 done)

	Pruned	Kept	Total
New	1 397	19	1 416
Fresh	5	9	14
Picked	2	3	5
Done	0	5	5
Total	1 404	36	1 440

Accuracy

99.2%

Counts

1 440 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.7%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
✓	80.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
✓	85.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
	57.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
✓	53.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	56.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))))
	4.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))))))
	6.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 (.f64 x x) y) y)))
	6.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 y (.f64 y x))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	5.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (.f64 (.f64 x y) (.f64 x y))))
	46.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (neg.f64 x)) #s(literal 1 binary64)))))
	57.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.f64 x #s(approx (- (+ ( x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
	7.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))) (neg.f64 (.f64 (.f64 y (.f64 y x)) (.f64 y (*.f64 x x))))))
	56.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))))
	6.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) (.f64 (.f64 x (.f64 x x)) y)) (/.f64 y (.f64 x (.f64 x (.f64 y y))))))
	7.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y (neg.f64 x))) (.f64 x (/.f64 (.f64 y y) (.f64 x (.f64 x (.f64 y y)))))))
	24.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (.f64 (*.f64 y y) (neg.f64 y)) y) y)))
	4.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))))
	7.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 y y)))))
	4.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 y (.f64 y y)))))
	3.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (neg.f64 y))) (.f64 (.f64 y (.f64 y y)) (.f64 y y)))))
	12.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 y y))))
	30.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y y)) y)))
	46.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))))
	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))))
	7.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))))
	12.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (*.f64 y y) (neg.f64 y)))))
✓	46.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	54.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	53.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	19.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
	8.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 y (.f64 y (*.f64 y y))))))))
✓	33.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
✓	85.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
	44.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))))
✓	3.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

Compiler

Compiled 1 609 to 538 computations (66.6% saved)

regimes48.0ms (0.6%)

Memory

0.8MiB live, 117.8MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 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 x (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (*.f64 y y) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (.f64 (*.f64 y y) (neg.f64 y)) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y (neg.f64 x))) (.f64 x (/.f64 (.f64 y y) (.f64 x (.f64 x (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) (.f64 (.f64 x (.f64 x x)) y)) (/.f64 y (.f64 x (.f64 x (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 x x))) (neg.f64 (.f64 y (.f64 y (.f64 x x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y 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 x (.f64 y y))))) (.f64 (.f64 (.f64 x x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))) (neg.f64 (.f64 (.f64 y (.f64 y x)) (.f64 y (*.f64 x x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (neg.f64 y))) (.f64 (.f64 y (.f64 y y)) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 y (.f64 y x))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (.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)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #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 (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 #s(approx (+ (* -1/192 (* x x)) 1/8) #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)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.f64 x #s(approx (- (+ ( x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
#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)) (+.f64 (.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)) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 y (.f64 y (*.f64 y y))))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y)))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes41.0ms (0.5%)

Memory

-11.8MiB live, 108.1MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 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 x (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (*.f64 y y) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (/.f64 (.f64 (*.f64 y y) (neg.f64 y)) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y (neg.f64 x))) (.f64 x (/.f64 (.f64 y y) (.f64 x (.f64 x (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) (.f64 (.f64 x (.f64 x x)) y)) (/.f64 y (.f64 x (.f64 x (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 x x))) (neg.f64 (.f64 y (.f64 y (.f64 x x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (.f64 (.f64 x y) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y 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 x (.f64 y y))))) (.f64 (.f64 (.f64 x x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))) (neg.f64 (.f64 (.f64 y (.f64 y x)) (.f64 y (*.f64 x x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (neg.f64 y))) (.f64 (.f64 y (.f64 y y)) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 y (.f64 y x))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y 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 x (.f64 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (.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)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #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 (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 #s(approx (+ (* -1/192 (* x x)) 1/8) #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)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.f64 x #s(approx (- (+ ( x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (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))))
#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)) (+.f64 (.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)) (log1p.f64 (exp.f64 x)))

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

3 calls:

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

Results

Accuracy	Segments	Branch
91.7%	1	`y`
97.9%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
98.6%	2	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes13.0ms (0.2%)

Memory

-3.9MiB live, 35.4MiB allocated

Counts

34 → 2

Calls

Call 1

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

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:

11.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

-7.1MiB live, 36.1MiB allocated

Counts

33 → 2

Calls

Call 1

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

13.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

32 → 2

Calls

Call 1

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

10.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.3%)

Memory

-21.0MiB live, 57.5MiB allocated

Counts

31 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
96.8%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
86.2%	2	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

30 → 3

Calls

Call 1

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

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:

8.0ms

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

Results

Accuracy	Segments	Branch
96.5%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes73.0ms (1%)

Memory

-13.0MiB live, 67.9MiB allocated

Counts

28 → 1

Calls

Call 1

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

31.0ms	y
9.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
46.5%	1	`x`
46.5%	1	`y`
46.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes5.0ms (0.1%)

Memory

-23.4MiB live, 15.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.2%	1	`x`
3.2%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
3.2%	1	`y`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch5.0ms (0.1%)

Memory

15.4MiB live, 15.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-312023227.00883216	-231431268.20126158

Samples

3.0ms

48×

valid

Compiler

Compiled 80 to 56 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (61.1% of total)

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

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

ival-log1p: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-312023227.00883216	-231431268.20126158

Compiler

Compiled 71 to 50 computations (29.6% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-312023227.00883216	-231431268.20126158

Compiler

Compiled 68 to 47 computations (30.9% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-312023227.00883216	-231431268.20126158

Compiler

Compiled 68 to 47 computations (30.9% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5009998004578697	3407422.8102248483
0.0ms	0.0020196228386389807	0.5799423420738703

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5009998004578697	3407422.8102248483
0.0ms	0.0020196228386389807	0.5799423420738703

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify9.0ms (0.1%)

Memory

-13.1MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	315
1	75	315
2	86	315
3	91	315
4	93	315

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -235000000 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 -235000000 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 -235000000 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 -235000000 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 1152921504606847/288230376151711744 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 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #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 1152921504606847/288230376151711744 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 2 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)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -235000000 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 -235000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.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)))))
(if (<=.f64 x #s(literal -235000000 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 -235000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 x 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 -235000000 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 -235000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -235000000 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 x #s(literal -235000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 x 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 1152921504606847/288230376151711744 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 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #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 1152921504606847/288230376151711744 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (neg.f64 (.f64 x y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1152921504606847/288230376151711744 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 2 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)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (neg.f64 (.f64 x y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

soundness1.0s (13.8%)

Memory

4.6MiB live, 754.6MiB allocated

Rules

11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
8 352×	`lower-fma.f64`
8 352×	`lower-fma.f32`
6 904×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	472
1	180	472
2	389	472
3	1353	472
4	4014	442
5	6856	442
0	8132	372
0	369	4050
1	1132	3990
2	3536	3970
0	8257	3525
0	203	4562
1	625	4501
2	1825	4419
3	5740	4380
0	8283	3987
0	39	187
0	66	187
1	251	170
2	1852	170
0	8465	170

Stop Event

1×	fuel
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×	node limit

Compiler

Compiled 303 to 130 computations (57.1% saved)

preprocess66.0ms (0.9%)

Memory: 22.8MiB live, 176.2MiB allocated
Compiler: Compiled 416 to 124 computations (70.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze112.0ms (1.5%)

sample1.1s (15%)

explain100.0ms (1.3%)

preprocess31.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize34.0ms (0.4%)

series67.0ms (0.9%)

simplify188.0ms (2.5%)

rewrite239.0ms (3.1%)

eval70.0ms (0.9%)

prune160.0ms (2.1%)

simplify202.0ms (2.7%)

localize155.0ms (2%)

series39.0ms (0.5%)

simplify302.0ms (4%)

rewrite290.0ms (3.8%)

eval241.0ms (3.2%)

prune146.0ms (1.9%)

simplify210.0ms (2.8%)

localize139.0ms (1.8%)

series32.0ms (0.4%)

simplify190.0ms (2.5%)

rewrite137.0ms (1.8%)

eval239.0ms (3.1%)

prune217.0ms (2.9%)

simplify190.0ms (2.5%)

localize131.0ms (1.7%)

series191.0ms (2.5%)

simplify253.0ms (3.3%)

rewrite281.0ms (3.7%)

eval201.0ms (2.6%)

prune292.0ms (3.8%)

regimes48.0ms (0.6%)

regimes41.0ms (0.5%)

regimes13.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes21.0ms (0.3%)

regimes10.0ms (0.1%)

regimes73.0ms (1%)

regimes5.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.0s (13.8%)

preprocess66.0ms (0.9%)

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