Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze72.0ms (1.1%)

Memory

9.2MiB live, 89.0MiB 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 (15.7%)

Memory

41.9MiB live, 1 572.5MiB allocated

Samples

470.0ms	8 256×	0	valid
211.0ms	2 627×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 406.0ms

ival-log1p: 118.0ms (29.1% of total)

ival-exp: 94.0ms (23.2% of total)

ival-mult: 85.0ms (20.9% of total)

ival-sub: 52.0ms (12.8% of total)

adjust: 43.0ms (10.6% of total)

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

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

Bogosity

explain102.0ms (1.5%)

Memory

-14.8MiB live, 146.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	96	(-5.227209922445438e+198 -7.127006005241151e-290)	-	`(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	96	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	1	0
↳	`(exp.f64 x)`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	96	159

Precision

0.010309278350515464

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	96	0	159

Precision?

0.010309278350515464

Recall?

1.0

Freqs

test

number	freq
0	159
1	97

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 91 to 36 computations (60.4% saved)

Precisions

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

ival-log1p: 6.0ms (29.1% of total)

ival-exp: 4.0ms (19.4% of total)

ival-mult: 4.0ms (19.4% of total)

ival-add: 3.0ms (14.6% of total)

ival-sub: 2.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess32.0ms (0.5%)

Memory

-4.8MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify9.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.5%)

Memory

-2.7MiB live, 33.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.01171875	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.015625	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.2615965952207039	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

18.0ms

256×

valid

Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions

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

ival-log1p: 4.0ms (36.7% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series71.0ms (1.1%)

Memory

3.5MiB live, 74.9MiB allocated

Counts

4 → 60

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
28.0ms	x	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
6.0ms	y	@	0	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms	y	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms	y	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))

simplify130.0ms (1.9%)

Memory

-5.1MiB live, 117.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite259.0ms (3.8%)

Memory

-17.0MiB live, 205.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 359

Calls

Call 1

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

Outputs
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eval83.0ms (1.2%)

Memory: 21.6MiB live, 103.6MiB allocated
Compiler: Compiled 13 451 to 1 462 computations (89.1% saved)

prune18.0ms (0.3%)

Memory

-33.0MiB live, 41.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	410	9	419
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	411	9	420

Accuracy

100.0%

Counts

420 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
	62.2%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) (*.f64 x y))
▶	90.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	70.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	74.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	81.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	55.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
▶	46.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	45.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 184 to 154 computations (16.3% saved)

simplify83.0ms (1.2%)

Memory

2.5MiB live, 52.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (0.9%)

Memory

17.7MiB live, 91.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.2420653452207039	(log1p.f64 (exp.f64 x))
accuracy	34.31165131272014	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy	16.036682858483317	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy	11.820138675462744	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	28.727937552998167	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0	(*.f64 x y)
accuracy	0.015625	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	0.2615965952207039	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	20.69856629391181	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

46.0ms

256×

valid

Compiler

Compiled 226 to 45 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 8.0ms (25.7% of total)

ival-log: 7.0ms (22.5% of total)

ival-add: 4.0ms (12.9% of total)

ival-exp: 4.0ms (12.9% of total)

ival-log1p: 3.0ms (9.6% of total)

ival-sub: 2.0ms (6.4% of total)

ival-neg: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.7%)

Memory

-5.2MiB live, 79.5MiB allocated

Counts

17 → 312

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x))
8.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x))
5.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x))
5.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x))
3.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x))

simplify163.0ms (2.4%)

Memory

3.8MiB live, 164.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

rewrite184.0ms (2.7%)

Memory

-5.2MiB live, 150.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

17 → 303

Calls

Call 1

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

Outputs
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eval168.0ms (2.5%)

Memory: 0.4MiB live, 109.5MiB allocated
Compiler: Compiled 11 647 to 1 517 computations (87% saved)

prune49.0ms (0.7%)

Memory

-6.1MiB live, 78.4MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	662	13	675
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	669	15	684

Accuracy

100.0%

Counts

684 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.4%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	49.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
	46.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
▶	33.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
	33.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))) x))
▶	99.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
	33.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
✓	55.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
✓	46.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	45.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
▶	45.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
▶	37.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	30.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))
	6.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	49.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 237 to 224 computations (5.5% saved)

simplify143.0ms (2.1%)

Memory

5.0MiB live, 160.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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))))
cost-diff	0	#s(approx (exp x) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
cost-diff	0	(neg.f64 (*.f64 y y))
cost-diff	0	(.f64 (/.f64 (neg.f64 (.f64 y y)) y) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
cost-diff	1024	(/.f64 (neg.f64 (*.f64 y y)) y)
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
cost-diff	0	(/.f64 (log1p.f64 (exp.f64 x)) x)
cost-diff	0	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
cost-diff	704	(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	183
0	53	187
1	84	187
2	134	171
3	265	171
4	626	171
5	1991	167
6	3727	167
7	6633	167
0	8357	165

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.4%)

Memory

5.9MiB live, 79.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
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	0.2615965952207039	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	20.69856629391181	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
accuracy	0.2420653452207039	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
accuracy	24.490660539366527	#s(approx (exp x) #s(literal 1 binary64))
accuracy	34.31165131272014	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 (*.f64 y y))
accuracy	28.727937552998167	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 y y)) y) x))
accuracy	32.412090359578094	(/.f64 (neg.f64 (*.f64 y y)) y)
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	11.820138675462744	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
accuracy	28.714420530078804	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.00390625	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
accuracy	0.1015625	(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
accuracy	0.1328125	(/.f64 (log1p.f64 (exp.f64 x)) x)
accuracy	0.2420653452207039	(log1p.f64 (exp.f64 x))

Samples

59.0ms

256×

valid

Compiler

Compiled 269 to 53 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 17.0ms (38.5% of total)

ival-mult: 10.0ms (22.7% of total)

ival-div: 4.0ms (9.1% of total)

ival-sub: 3.0ms (6.8% of total)

ival-log: 3.0ms (6.8% of total)

ival-log1p: 3.0ms (6.8% of total)

ival-exp: 2.0ms (4.5% of total)

ival-neg: 2.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series95.0ms (1.4%)

Memory

11.2MiB live, 102.4MiB allocated

Counts

21 → 372

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
51.0ms	x	@	inf	((* (- (/ (log (+ 1 (exp x))) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (neg (* y y)) y) (- (log (+ 1 (exp x))) (* x y)) (* (/ (neg (* y y)) y) x) (neg (* y y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (log (+ 1 (exp x))) (* y y))
19.0ms	x	@	-inf	((* (- (/ (log (+ 1 (exp x))) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (neg (* y y)) y) (- (log (+ 1 (exp x))) (* x y)) (* (/ (neg (* y y)) y) x) (neg (* y y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (log (+ 1 (exp x))) (* y y))
4.0ms	y	@	0	((* (- (/ (log (+ 1 (exp x))) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (neg (* y y)) y) (- (log (+ 1 (exp x))) (* x y)) (* (/ (neg (* y y)) y) x) (neg (* y y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (log (+ 1 (exp x))) (* y y))
4.0ms	y	@	inf	((* (- (/ (log (+ 1 (exp x))) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (neg (* y y)) y) (- (log (+ 1 (exp x))) (* x y)) (* (/ (neg (* y y)) y) x) (neg (* y y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (log (+ 1 (exp x))) (* y y))
3.0ms	y	@	-inf	((* (- (/ (log (+ 1 (exp x))) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (neg (* y y)) y) (- (log (+ 1 (exp x))) (* x y)) (* (/ (neg (* y y)) y) x) (neg (* y y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (log (+ 1 (exp x))) (* y y))

simplify175.0ms (2.6%)

Memory

4.9MiB live, 125.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	2571
1	423	2340
2	1046	2340
3	3614	2340
4	7479	2340
0	8303	1957

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

rewrite188.0ms (2.8%)

Memory

0.9MiB live, 192.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	170
0	53	174
1	179	174
2	1217	158
0	8364	156

Stop Event

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

Counts

21 → 552

Calls

Call 1

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

Outputs
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eval157.0ms (2.3%)

Memory: 12.8MiB live, 211.3MiB allocated
Compiler: Compiled 13 276 to 2 299 computations (82.7% saved)

prune118.0ms (1.7%)

Memory

-7.6MiB live, 149.9MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	914	10	924
Fresh	1	7	8
Picked	2	3	5
Done	0	2	2
Total	917	22	939

Accuracy

100.0%

Counts

939 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.4%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	49.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
	46.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
	31.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y y) x) (neg.f64 y)))
▶	39.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
	55.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))))
	33.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) y) x))
	29.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (.f64 (neg.f64 y) y)))
	55.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
▶	90.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y) x))
▶	33.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
✓	55.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
✓	46.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
▶	45.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
✓	45.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	37.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
	20.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
✓	37.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
▶	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
	30.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))
	6.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	49.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 351 to 326 computations (7.1% saved)

simplify139.0ms (2.1%)

Memory

1.0MiB live, 150.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
cost-diff	0	(neg.f64 (*.f64 y y))
cost-diff	0	(.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
cost-diff	1344	(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(.f64 y (.f64 (neg.f64 y) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
cost-diff	1024	(/.f64 (.f64 y (.f64 (neg.f64 y) x)) y)
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
cost-diff	0	(/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x)
cost-diff	0	(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y) x))
cost-diff	704	(*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	255
0	56	249
1	95	249
2	188	229
3	429	229
4	1482	225
5	3253	225
6	5168	225
7	7609	225
0	8243	203

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (1.7%)

Memory

12.8MiB live, 103.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.2420653452207039	(log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
accuracy	24.080514213813863	#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
accuracy	34.31165131272014	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 (*.f64 y y))
accuracy	28.727937552998167	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))
accuracy	32.4784966095781	(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(neg.f64 y)
accuracy	0.109375	(.f64 y (.f64 (neg.f64 y) x))
accuracy	14.260827909248897	(/.f64 (.f64 y (.f64 (neg.f64 y) x)) y)
accuracy	28.727937552998167	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
accuracy	0.00390625	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
accuracy	11.820138675462744	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
accuracy	28.714420530078804	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
accuracy	32.97580764284892	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.00390625	(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y)
accuracy	0.1015625	(*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y) x)
accuracy	0.1328125	(/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x)
accuracy	24.445481227159153	#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))

Samples

98.0ms

256×

valid

Compiler

Compiled 318 to 58 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 60.0ms (72.9% of total)

ival-div: 5.0ms (6.1% of total)

ival-sub: 4.0ms (4.9% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.8%)

Memory

-27.4MiB live, 83.4MiB allocated

Counts

23 → 432

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	((* (- (/ (log (+ 1 (exp x))) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (* y (* (neg y) x)) y) (- (log (+ 1 (exp x))) (* x y)) (* y (* (neg y) x)) (* (neg y) x) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ x 1) (log (+ 1 (exp x))) (neg y) (* y y))
11.0ms	x	@	-inf	((* (- (/ (log (+ 1 (exp x))) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (* y (* (neg y) x)) y) (- (log (+ 1 (exp x))) (* x y)) (* y (* (neg y) x)) (* (neg y) x) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ x 1) (log (+ 1 (exp x))) (neg y) (* y y))
4.0ms	y	@	0	((* (- (/ (log (+ 1 (exp x))) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (* y (* (neg y) x)) y) (- (log (+ 1 (exp x))) (* x y)) (* y (* (neg y) x)) (* (neg y) x) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ x 1) (log (+ 1 (exp x))) (neg y) (* y y))
3.0ms	y	@	inf	((* (- (/ (log (+ 1 (exp x))) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (* y (* (neg y) x)) y) (- (log (+ 1 (exp x))) (* x y)) (* y (* (neg y) x)) (* (neg y) x) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ x 1) (log (+ 1 (exp x))) (neg y) (* y y))
3.0ms	y	@	-inf	((* (- (/ (log (+ 1 (exp x))) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (* y (* (neg y) x)) y) (- (log (+ 1 (exp x))) (* x y)) (* y (* (neg y) x)) (* (neg y) x) (* (neg (* y y)) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (neg (* y y)) (/ 1 y)) x) (neg (* y y)) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ x 1) (log (+ 1 (exp x))) (neg y) (* y y))

simplify130.0ms (1.9%)

Memory

2.3MiB live, 123.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	2805
1	395	2574
2	987	2574
3	3533	2574
4	7382	2574
0	8041	2218

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 430

Calls

Call 1

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

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

rewrite203.0ms (3%)

Memory

10.4MiB live, 173.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	238
0	56	240
1	194	226
2	1254	212
0	8645	190

Stop Event

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

Counts

23 → 595

Calls

Call 1

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

Outputs
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eval142.0ms (2.1%)

Memory: 7.2MiB live, 198.2MiB allocated
Compiler: Compiled 13 155 to 2 164 computations (83.5% saved)

prune141.0ms (2.1%)

Memory

23.5MiB live, 177.6MiB allocated

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	1 015	10	1 025
Fresh	3	9	12
Picked	1	4	5
Done	0	5	5
Total	1 019	28	1 047

Accuracy

100.0%

Counts

1 047 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.4%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	49.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
	46.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
	39.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y x)))) y))
✓	39.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (neg.f64 y) x)) y))
	39.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (.f64 (neg.f64 y) x) y)))) y))
	54.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
	54.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	39.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) #s(literal -1 binary64)))))
	55.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
	33.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) y) x))
	29.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (.f64 (neg.f64 y) y)))
	55.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
✓	90.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y) x))
	33.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
	31.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) x) (/.f64 #s(literal -1 binary64) y)))
	39.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) (.f64 y (/.f64 x y))))
✓	55.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	39.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 (neg.f64 y) x) y))))
✓	46.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	45.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
✓	45.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	20.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
✓	37.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
✓	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
	30.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))
	6.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	49.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 668 to 395 computations (40.9% saved)

regimes45.0ms (0.7%)

Memory

7.7MiB live, 85.6MiB allocated

Counts

43 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
14.0ms	y
12.0ms	x

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes62.0ms (0.9%)

Memory

-36.5MiB live, 98.3MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

33.0ms	x
14.0ms	y
10.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.8%	2	`x`
90.4%	1	`y`
98.5%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes14.0ms (0.2%)

Memory

-4.2MiB live, 33.6MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes30.0ms (0.4%)

Memory

-25.6MiB live, 12.5MiB allocated

Counts

32 → 2

Calls

Call 1

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

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

31 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes27.0ms (0.4%)

Memory

-15.7MiB live, 23.4MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.9%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
85.4%	3	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes9.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes9.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
97.3%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes27.0ms (0.4%)

Memory

0.8MiB live, 40.7MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
7.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
55.1%	1	`x`
55.1%	1	`y`
55.1%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes6.0ms (0.1%)

Memory

-27.4MiB live, 10.4MiB 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 (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

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

Calls

3 calls:

3.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms	y
1.0ms	x

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch11.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-300103707.9604294	-46876672.06767123

Samples

6.0ms

96×

valid

Compiler

Compiled 138 to 131 computations (5.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 1.0ms (30.2% of total)

ival-log1p: 1.0ms (30.2% of total)

ival-mult: 1.0ms (30.2% of total)

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

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

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-300103707.9604294	-46876672.06767123

Compiler

Compiled 108 to 113 computations (-4.6% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-300103707.9604294	-46876672.06767123

Compiler

Compiled 90 to 101 computations (-12.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-300103707.9604294	-46876672.06767123

Compiler

Compiled 84 to 95 computations (-13.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-300103707.9604294	-46876672.06767123

Compiler

Compiled 84 to 95 computations (-13.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931475123551339	1.4747660465187722
0.0ms	1.0382713890416014e-15	0.6300264929924017

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931475123551339	1.4747660465187722
0.0ms	1.0382713890416014e-15	0.6300264929924017

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931475123551339	1.4747660465187722
0.0ms	1.0382713890416014e-15	0.6300264929924017

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify29.0ms (0.4%)

Memory

-9.5MiB live, 66.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 x #s(literal -48000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y x)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

soundness1.8s (27.2%)

Memory

5.0MiB live, 746.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	2571
1	423	2340
2	1046	2340
3	3614	2340
4	7479	2340
0	8303	1957
0	67	385
1	180	370
2	389	370
3	1351	370
4	4010	370
5	6711	370
0	8052	300
0	28	122
0	44	122
1	152	122
2	1074	122
0	8337	122
0	141	2291
1	419	2144
2	1139	2144
3	4569	2134
0	8347	1817

Stop Event

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

Compiler

Compiled 356 to 182 computations (48.9% saved)

preprocess95.0ms (1.4%)

Memory: 6.7MiB live, 158.2MiB allocated
Compiler: Compiled 534 to 168 computations (68.5% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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%)

analyze72.0ms (1.1%)

sample1.1s (15.7%)

explain102.0ms (1.5%)

preprocess32.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize33.0ms (0.5%)

series71.0ms (1.1%)

simplify130.0ms (1.9%)

rewrite259.0ms (3.8%)

eval83.0ms (1.2%)

prune18.0ms (0.3%)

simplify83.0ms (1.2%)

localize62.0ms (0.9%)

series50.0ms (0.7%)

simplify163.0ms (2.4%)

rewrite184.0ms (2.7%)

eval168.0ms (2.5%)

prune49.0ms (0.7%)

simplify143.0ms (2.1%)

localize95.0ms (1.4%)

series95.0ms (1.4%)

simplify175.0ms (2.6%)

rewrite188.0ms (2.8%)

eval157.0ms (2.3%)

prune118.0ms (1.7%)

simplify139.0ms (2.1%)

localize118.0ms (1.7%)

series57.0ms (0.8%)

simplify130.0ms (1.9%)

rewrite203.0ms (3%)

eval142.0ms (2.1%)

prune141.0ms (2.1%)

regimes45.0ms (0.7%)

regimes62.0ms (0.9%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes30.0ms (0.4%)

regimes11.0ms (0.2%)

regimes27.0ms (0.4%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes27.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify29.0ms (0.4%)

soundness1.8s (27.2%)

preprocess95.0ms (1.4%)

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