Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze97.0ms (1.2%)

Memory

29.6MiB live, 108.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.3s (16.3%)

Memory

8.0MiB live, 1 942.2MiB allocated

Samples

530.0ms	8 256×	0	valid
212.0ms	2 724×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 423.0ms

ival-log1p: 120.0ms (28.3% of total)

ival-mult: 111.0ms (26.2% of total)

ival-exp: 86.0ms (20.3% of total)

ival-sub: 49.0ms (11.6% of total)

adjust: 45.0ms (10.6% of total)

ival-true: 8.0ms (1.9% of total)

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

Bogosity

explain113.0ms (1.4%)

Memory

-2.8MiB live, 238.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
4	93	(-121623385.82309538 -1.2832963856544095e+300)	-	`(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	95	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	2	0
↳	`(exp.f64 x)`	overflow	2
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	3	0
-	94	159

Precision

0.030927835051546393

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	94	0	159

Precision?

0.030927835051546393

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

43.0ms

512×

valid

Compiler

Compiled 67 to 28 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-log1p: 15.0ms (52.5% of total)

ival-exp: 4.0ms (14% of total)

ival-mult: 4.0ms (14% of total)

ival-sub: 2.0ms (7% of total)

ival-add: 2.0ms (7% of total)

ival-true: 1.0ms (3.5% of total)

exact: 0.0ms (0% of total)

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

preprocess34.0ms (0.4%)

Memory

-3.8MiB live, 70.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.1%)

Memory

28.2MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.4%)

Memory

-20.6MiB live, 64.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.01171875	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.8753894062106938	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

19.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 3.0ms (26% of total)

ival-mult: 3.0ms (26% of total)

ival-exp: 2.0ms (17.3% of total)

ival-log1p: 2.0ms (17.3% of total)

ival-sub: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series93.0ms (1.2%)

Memory

3.0MiB live, 120.3MiB allocated

Counts

4 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
63.0ms	x	@	inf	(log (+ 1 (exp x)))
23.0ms	x	@	-inf	(log (+ 1 (exp x)))
3.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
0.0ms	x	@	0	(log (+ 1 (exp x)))
0.0ms	y	@	-inf	(- (log (+ 1 (exp x))) (* x y))

simplify219.0ms (2.8%)

Memory

-2.3MiB live, 367.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite255.0ms (3.3%)

Memory

-7.2MiB live, 500.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 359

Calls

Call 1

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

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

eval76.0ms (1%)

Memory: 5.7MiB live, 163.5MiB allocated
Compiler: Compiled 15 107 to 1 438 computations (90.5% saved)

prune68.0ms (0.9%)

Memory

11.7MiB live, 210.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

99.4%

Counts

420 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	53.5%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) #s(literal -1 binary64)))
▶	72.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
	75.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
▶	83.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
▶	54.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	47.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	46.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 192 to 126 computations (34.4% saved)

simplify195.0ms (2.5%)

Memory

24.0MiB live, 328.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x y (log1p.f64 (exp.f64 x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))
cost-diff	7168	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 y y))))) #s(literal -1 binary64))
cost-diff	21312	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y)
cost-diff	0	(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff	0	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))

Rules

6 990×	`lower-fma.f32`
6 980×	`lower-fma.f64`
2 494×	`lower--.f32`
2 486×	`lower--.f64`
2 466×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	271
0	71	256
1	119	248
2	221	248
3	449	248
4	1090	248
5	2499	248
6	4868	248
7	7057	248
0	8250	248

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.7%)

Memory

-47.0MiB live, 287.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.60546875	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
accuracy	4.085468423447591	(.f64 x (.f64 x (*.f64 y y)))
accuracy	7.064108344796729	(.f64 x (.f64 y y))
accuracy	17.275110177272882	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) #s(literal -1 binary64)))
accuracy	0.01171875	(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
accuracy	0.0390625	(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy	0.0625	(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
accuracy	17.36327897751583	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
accuracy	10.549766987013722	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	29.430328941917757	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	0.8753894062106938	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	21.254866074910712	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

91.0ms

256×

valid

Compiler

Compiled 274 to 39 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-add: 16.0ms (23% of total)

ival-mult: 16.0ms (23% of total)

ival-log: 10.0ms (14.4% of total)

ival-sub: 5.0ms (7.2% of total)

ival-exp: 4.0ms (5.8% of total)

const: 4.0ms (5.8% of total)

ival-pow: 4.0ms (5.8% of total)

ival-div: 3.0ms (4.3% of total)

ival-log1p: 3.0ms (4.3% of total)

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

ival-pow2: 2.0ms (2.9% of total)

exact: 1.0ms (1.4% of total)

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

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

series41.0ms (0.5%)

Memory

21.5MiB live, 101.0MiB allocated

Counts

23 → 444

Calls

Call 1

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

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

Calls

111 calls:

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

simplify287.0ms (3.7%)

Memory

-13.4MiB live, 458.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 344×	`lower-fma.f64`
8 344×	`lower-fma.f32`
5 416×	`lower-*.f64`
5 416×	`lower-*.f32`
3 996×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	401	4461
1	1233	4394
2	3831	4374
0	8441	3889

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

rewrite310.0ms (4%)

Memory

27.6MiB live, 559.3MiB allocated

Rules

4 584×	`lower-fma.f32`
4 574×	`lower-fma.f64`
4 158×	`lower-*.f32`
4 144×	`lower-*.f64`
3 654×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	210
0	71	191
1	269	183
2	1926	183
0	8164	183

Stop Event

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

Counts

23 → 739

Calls

Call 1

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

Outputs
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (.f64 x (.f64 x (*.f64 y y))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y (neg.f64 x)))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y (neg.f64 x)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 y (neg.f64 x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 y y)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 y y))))) (neg.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (neg.f64 (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 x (.f64 x (.f64 y y))))) (.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 y (neg.f64 x)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 x (.f64 x (.f64 y y)) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 y (neg.f64 x)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 y y))))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.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))
(*.f64 x y)
(*.f64 y x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 (neg.f64 y) x)
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 (neg.f64 x) y)
(.f64 (.f64 x #s(literal -1 binary64)) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (.f64 y (.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
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(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 y y)))))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 x (.f64 x (.f64 y y))))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (fma.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 x (.f64 x (.f64 y y))))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y)))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 x (.f64 x (.f64 y y))))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 x (.f64 x (*.f64 y y))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 x (.f64 x (.f64 y y)))) #s(literal 1 binary64)) (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 x (.f64 x (*.f64 y y))))))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/192 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x #s(literal -1/192 binary64)) x #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/64 binary64)) (.f64 (.f64 x x) #s(literal -1/1536 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/64 binary64)) (.f64 (.f64 x x) #s(literal -1/1536 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (-.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/64 binary64)) (.f64 (.f64 x x) #s(literal -1/1536 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/64 binary64)) (.f64 (.f64 x x) #s(literal -1/1536 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64))) (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/64 binary64)) (.f64 (.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/64 binary64)) (.f64 (.f64 x x) #s(literal -1/1536 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/64 binary64)) (.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
(.f64 (fma.f64 #s(literal 1/36864 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal -1/8 binary64))))
(.f64 x (.f64 y y))
(.f64 y (.f64 x y))
(.f64 (.f64 x y) y)
(.f64 (.f64 y y) x)
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(pow.f64 (*.f64 y (neg.f64 x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 x (*.f64 x y)))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 (.f64 x (*.f64 y y)) x)
(.f64 (.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))
(.f64 (.f64 (*.f64 x y) x) y)
(.f64 (.f64 x (*.f64 x y)) y)
(.f64 (.f64 (*.f64 x x) y) y)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64)))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))

eval159.0ms (2%)

Memory: -5.9MiB live, 292.8MiB allocated
Compiler: Compiled 42 683 to 2 973 computations (93% saved)

prune164.0ms (2.1%)

Memory

14.4MiB live, 294.8MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 175	9	1 184
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	1 180	12	1 192

Accuracy

99.4%

Counts

1 192 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	75.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
	53.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
▶	46.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	56.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
▶	18.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
	32.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
✓	54.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	47.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	46.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	39.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
▶	83.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))

Compiler

Compiled 345 to 184 computations (46.7% saved)

simplify123.0ms (1.6%)

Memory

-4.9MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
cost-diff	0	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
cost-diff	832	(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))
cost-diff	320	(*.f64 #s(literal 0 binary64) y)
cost-diff	1664	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
cost-diff	0	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff	0	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))

Rules

3 654×	`lower-fma.f32`
3 648×	`lower-fma.f64`
2 534×	`lower-*.f32`
2 524×	`lower-*.f64`
1 396×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	295
0	63	250
1	120	248
2	214	236
3	450	236
4	1169	236
5	3087	232
6	5400	232
0	8221	217

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (1.2%)

Memory

-5.7MiB live, 190.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
accuracy	0.09375	(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
accuracy	0.21875	(/.f64 (log.f64 #s(literal 2 binary64)) x)
accuracy	10.549766987013722	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
accuracy	10.549766987013722	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
accuracy	33.08457295958487	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0	(*.f64 #s(literal 0 binary64) y)
accuracy	0.0859375	(.f64 y (.f64 y y))
accuracy	29.430328941917757	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
accuracy	41.33497605236692	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.01171875	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
accuracy	10.549766987013722	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
accuracy	29.189495006817836	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
accuracy	0.8753894062106938	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	21.254866074910712	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

56.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 212 to 32 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 14.0ms (37.7% of total)

ival-add: 7.0ms (18.8% of total)

ival-sub: 4.0ms (10.8% of total)

ival-div: 3.0ms (8.1% of total)

ival-log: 3.0ms (8.1% of total)

ival-log1p: 3.0ms (8.1% of total)

ival-exp: 2.0ms (5.4% of total)

ival-neg: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series102.0ms (1.3%)

Memory

12.6MiB live, 128.1MiB allocated

Counts

23 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(/ (log 2) x)
7.0ms	x	@	inf	(/ (log 2) x)
1.0ms	x	@	0	(* x (+ 1/2 (- (/ (log 2) x) y)))
1.0ms	y	@	inf	(+ 1/2 (- (/ (log 2) x) y))
1.0ms	x	@	-inf	(* x (+ 1/2 (- (/ (log 2) x) y)))

simplify252.0ms (3.2%)

Memory

-5.1MiB live, 428.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 842×	`lower-fma.f64`
12 842×	`lower-fma.f32`
2 684×	`lower-*.f64`
2 684×	`lower-*.f32`
2 196×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	2445
1	465	2370
2	1176	2370
3	4092	2370
4	7211	2370
0	8129	2074

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -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 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
0
0
0
0
0
0
0
0
0
0
0
0
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* x (+ 1/2 (/ (log 2) x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(/ (log 2) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(- 1/2 y)
(- (+ 1/2 (/ (log 2) x)) y)
(- (+ 1/2 (/ (log 2) x)) y)
(- (+ 1/2 (/ (log 2) x)) y)
(- 1/2 y)
(- (+ 1/2 (/ (log 2) x)) y)
(- (+ 1/2 (/ (log 2) x)) y)
(- (+ 1/2 (/ (log 2) x)) y)
(+ 1/2 (/ (log 2) x))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(* -1 y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)

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

rewrite421.0ms (5.4%)

Memory

19.3MiB live, 530.5MiB allocated

Rules

4 034×	`lower-*.f32`
4 024×	`lower-*.f64`
3 994×	`lower-/.f32`
3 990×	`lower-/.f64`
3 724×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	244
0	63	212
1	265	204
2	2237	204
0	8519	192

Stop Event

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

Counts

23 → 562

Calls

Call 1

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

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

eval165.0ms (2.1%)

Memory: 21.7MiB live, 326.6MiB allocated
Compiler: Compiled 19 414 to 1 878 computations (90.3% saved)

prune169.0ms (2.2%)

Memory

-14.6MiB live, 413.4MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	941	19	960
Fresh	2	4	6
Picked	1	4	5
Done	0	1	1
Total	944	28	972

Accuracy

99.4%

Counts

972 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.6%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
▶	75.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
	53.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
✓	46.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	47.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (.f64 (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))))
	8.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 y (.f64 y (*.f64 y y)))))))
▶	12.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y))))))
	9.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 y (.f64 y y)))))
	6.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)))))))
	8.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 y y)))))
▶	18.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y y)))))
	32.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y y)) y)))
	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))))
	8.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y y))))))
	12.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y (.f64 y y))))) (.f64 y y))))
	32.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)))))
✓	54.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	47.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
▶	46.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	21.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
	10.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
	26.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (.f64 y (.f64 y y))) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (fma.f64 y y (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))))))
	13.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))))))))
✓	39.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
✓	83.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
▶	3.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
	46.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (+ 1/2 (- (/ (log 2) x) y)) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
	46.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (+ 1/2 (- (/ (log 2) x) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))))

Compiler

Compiled 996 to 464 computations (53.4% saved)

simplify339.0ms (4.3%)

Memory

14.9MiB live, 448.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y))))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
cost-diff	1664	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
cost-diff	1984	(.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff	0	(.f64 y (.f64 y y))
cost-diff	0	(.f64 x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y y))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y y)))))
cost-diff	1664	(/.f64 (.f64 y (.f64 y y)) (neg.f64 (*.f64 y y)))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
cost-diff	0	(fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y)
cost-diff	0	(fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))

Rules

13 556×	`lower-fma.f32`
13 552×	`lower-fma.f64`
3 032×	`lower-*.f32`
3 020×	`lower-*.f64`
1 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	338
0	62	274
1	122	272
2	337	236
3	1986	236
4	2832	236
5	4680	236
6	7766	236
0	8541	219

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.6%)

Memory

-21.7MiB live, 290.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	34.382006739554285	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
accuracy	0.9117166642525699	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	29.430328941917757	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y))))))
accuracy	41.33497605236692	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
accuracy	42.90635498667385	(.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy	0	(neg.f64 (*.f64 y y))
accuracy	0.0859375	(.f64 y (.f64 y y))
accuracy	29.430328941917757	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y y)))))
accuracy	41.33497605236692	(/.f64 (.f64 y (.f64 y y)) (neg.f64 (*.f64 y y)))
accuracy	0.01171875	(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
accuracy	10.549766987013722	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
accuracy	29.189495006817836	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
accuracy	33.08457295958487	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.01171875	(fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
accuracy	0.0390625	(fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy	17.36327897751583	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
accuracy	24.965060422622788	#s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64))

Samples

77.0ms

256×

valid

Compiler

Compiled 248 to 37 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 23.0ms (45.6% of total)

ival-div: 5.0ms (9.9% of total)

ival-add: 4.0ms (7.9% of total)

ival-sub: 4.0ms (7.9% of total)

const: 4.0ms (7.9% of total)

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

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

ival-exp: 2.0ms (4% of total)

exact: 1.0ms (2% of total)

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

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

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

series48.0ms (0.6%)

Memory

-3.2MiB live, 38.3MiB allocated

Counts

21 → 360

Calls

Call 1

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

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

Calls

90 calls:

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

simplify229.0ms (2.9%)

Memory

-0.9MiB live, 439.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 516×	`lower-fma.f64`
10 516×	`lower-fma.f32`
4 088×	`lower-*.f64`
4 088×	`lower-*.f32`
2 070×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	2711
1	477	2688
2	1460	2658
3	6347	2623
0	8483	2335

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

rewrite281.0ms (3.6%)

Memory

35.1MiB live, 628.0MiB allocated

Rules

4 504×	`lower-fma.f32`
4 500×	`lower-fma.f64`
4 276×	`lower-/.f32`
4 270×	`lower-/.f64`
3 786×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	281
0	62	240
1	248	214
2	1895	202
0	8618	185

Stop Event

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

Counts

21 → 694

Calls

Call 1

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

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

eval194.0ms (2.5%)

Memory: 5.4MiB live, 350.0MiB allocated
Compiler: Compiled 28 590 to 2 493 computations (91.3% saved)

prune193.0ms (2.5%)

Memory

-42.6MiB live, 466.5MiB allocated

Pruning

36 alts after pruning (28 fresh and 8 done)

	Pruned	Kept	Total
New	1 222	19	1 241
Fresh	9	9	18
Picked	2	3	5
Done	0	5	5
Total	1 233	36	1 269

Accuracy

99.4%

Counts

1 269 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.6%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
✓	75.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
	53.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
✓	46.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	47.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (.f64 (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))))
	14.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	27.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y y))))
	15.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (.f64 y (.f64 y y))) (neg.f64 (.f64 y y))))
	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	28.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (neg.f64 y)))))
	54.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
	7.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 y y))))
	28.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
	28.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 y y)))
	15.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x)))
	29.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))
	12.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
	18.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
	32.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 y y) (neg.f64 y))))
	9.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y y)))))))
	8.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y y))))))
	6.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y)))))))))
✓	54.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	47.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	46.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	9.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y)) (log 2)) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
	16.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y)) (log 2)) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))))))
	9.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y)) (log 2)) (.f64 x (.f64 x (.f64 #s(literal -1/192 binary64) (.f64 x x))))))
	21.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
	26.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (.f64 y (.f64 y y))) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (fma.f64 y y (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))))))
	13.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))))))))
✓	39.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
✓	83.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
✓	3.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
	46.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (+ 1/2 (- (/ (log 2) x) y)) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
	46.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (+ 1/2 (- (/ (log 2) x) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))))

Compiler

Compiled 1 579 to 518 computations (67.2% saved)

regimes49.0ms (0.6%)

Memory

31.5MiB live, 110.8MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y)) (log 2)) (.f64 x (.f64 x (.f64 #s(literal -1/192 binary64) (.f64 x x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 y y) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (.f64 y (.f64 y y))) (neg.f64 (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y)) (log 2)) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y (.f64 y y))))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y)) (log 2)) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 y (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 y (.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (neg.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y)))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(approx (+ (* -1/192 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (+ 1/2 (- (/ (log 2) x) y)) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (+ 1/2 (- (/ (log 2) x) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x (+ (* -1/192 (* x x)) 1/8)) 1/2) y) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 x (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (.f64 y (.f64 y y))) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (fma.f64 y y (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (.f64 (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))

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

Calls

3 calls:

16.0ms	x
15.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
15.0ms	y

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes48.0ms (0.6%)

Memory

-25.5MiB live, 107.7MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`x`
92.6%	1	`y`
98.1%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes47.0ms (0.6%)

Memory

-9.6MiB live, 29.8MiB allocated

Counts

43 → 2

Calls

Call 1

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

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

Calls

1 calls:

44.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.4%)

Memory

-8.2MiB live, 30.8MiB allocated

Counts

42 → 2

Calls

Call 1

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

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

Calls

1 calls:

30.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-2.8MiB live, 35.8MiB allocated

Counts

41 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.3%)

Memory

17.6MiB live, 58.7MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

12.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
11.0ms	x

Results

Accuracy	Segments	Branch
97.0%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
85.8%	3	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory

-1.2MiB live, 37.5MiB allocated

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes37.0ms (0.5%)

Memory

15.8MiB live, 91.7MiB allocated

Counts

38 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
11.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
11.0ms	y

Results

Accuracy	Segments	Branch
54.0%	1	`x`
54.0%	1	`y`
54.0%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

-32.5MiB live, 11.4MiB 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 (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

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

Calls

3 calls:

4.0ms	y
1.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms	x

Results

Accuracy	Segments	Branch
3.6%	1	`y`
3.6%	1	`x`
3.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch14.0ms (0.2%)

Memory

35.9MiB live, 35.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-5848830.964127617	-79.78931443792463

Samples

8.0ms

144×

valid

Compiler

Compiled 212 to 146 computations (31.1% saved)

Precisions

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

ival-exp: 2.0ms (42.7% of total)

ival-sub: 1.0ms (21.3% of total)

ival-log1p: 1.0ms (21.3% of total)

ival-mult: 1.0ms (21.3% of total)

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

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

bsearch9.0ms (0.1%)

Memory

-13.3MiB live, 24.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-79.78931443792463	-25.543015255609518

Samples

6.0ms

80×

valid

Compiler

Compiled 109 to 76 computations (30.3% saved)

Precisions

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

ival-exp: 1.0ms (39.3% of total)

ival-log1p: 1.0ms (39.3% of total)

ival-mult: 1.0ms (39.3% 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

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5848830.964127617	-79.78931443792463

Compiler

Compiled 176 to 119 computations (32.4% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5848830.964127617	-79.78931443792463

Compiler

Compiled 176 to 119 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	17.459808060577846	591302.7390325556
0.0ms	1.6356332572095106e-32	0.693147021600858

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	17.459808060577846	591302.7390325556
0.0ms	1.6356332572095106e-32	0.693147021600858

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify28.0ms (0.4%)

Memory

-20.6MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	315
1	78	315
2	89	315
3	94	315
4	96	315

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -95 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -26 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -95 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -95 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -95 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -95 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 x y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -26 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -26 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 x y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -95 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -95 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -95 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 x #s(literal -95 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 x y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (neg.f64 (.f64 x y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (neg.f64 (.f64 x y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

soundness1.0s (13.3%)

Memory

25.6MiB live, 700.9MiB allocated

Rules

12 842×	`lower-fma.f64`
12 842×	`lower-fma.f32`
11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
8 344×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	400
1	180	400
2	389	400
3	1353	400
4	4014	370
5	6856	370
0	8132	300
0	401	4461
1	1233	4394
2	3831	4374
0	8441	3889
0	42	210
0	71	191
1	269	183
2	1926	183
0	8164	183
0	147	2445
1	465	2370
2	1176	2370
3	4092	2370
4	7211	2370
0	8129	2074

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 303 to 133 computations (56.1% saved)

preprocess152.0ms (1.9%)

Memory: 6.5MiB live, 294.4MiB allocated
Compiler: Compiled 416 to 130 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

Iter	Nodes	Cost
0	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%)

analyze97.0ms (1.2%)

sample1.3s (16.3%)

explain113.0ms (1.4%)

preprocess34.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.1%)

localize30.0ms (0.4%)

series93.0ms (1.2%)

simplify219.0ms (2.8%)

rewrite255.0ms (3.3%)

eval76.0ms (1%)

prune68.0ms (0.9%)

simplify195.0ms (2.5%)

localize135.0ms (1.7%)

series41.0ms (0.5%)

simplify287.0ms (3.7%)

rewrite310.0ms (4%)

eval159.0ms (2%)

prune164.0ms (2.1%)

simplify123.0ms (1.6%)

localize97.0ms (1.2%)

series102.0ms (1.3%)

simplify252.0ms (3.2%)

rewrite421.0ms (5.4%)

eval165.0ms (2.1%)

prune169.0ms (2.2%)

simplify339.0ms (4.3%)

localize126.0ms (1.6%)

series48.0ms (0.6%)

simplify229.0ms (2.9%)

rewrite281.0ms (3.6%)

eval194.0ms (2.5%)

prune193.0ms (2.5%)

regimes49.0ms (0.6%)

regimes48.0ms (0.6%)

regimes47.0ms (0.6%)

regimes33.0ms (0.4%)

regimes14.0ms (0.2%)

regimes25.0ms (0.3%)

regimes13.0ms (0.2%)

regimes37.0ms (0.5%)

regimes7.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.4%)

soundness1.0s (13.3%)

preprocess152.0ms (1.9%)

end0.0ms (0%)

Profiling

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

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