Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze74.0ms (0.9%)

Memory

7.5MiB live, 133.6MiB 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)

sample1.2s (14.4%)

Memory

0.7MiB live, 1 984.4MiB allocated

Samples

478.0ms	8 256×	0	valid
235.0ms	2 654×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 418.0ms

ival-log1p: 117.0ms (28% of total)

ival-exp: 102.0ms (24.4% of total)

ival-mult: 80.0ms (19.1% of total)

ival-sub: 65.0ms (15.5% of total)

adjust: 43.0ms (10.3% of total)

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

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

Bogosity

explain190.0ms (2.3%)

Memory

4.5MiB live, 166.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	87	(-1.5179209077114268e+283 1.1886701313187241e+197)	-	`(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	87	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	1	0
↳	`(exp.f64 x)`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	87	168

Precision

0.011363636363636364

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	87	0	168

Precision?

0.011363636363636364

Recall?

1.0

Freqs

test

number	freq
0	168
1	88

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

114.0ms

512×

valid

Compiler

Compiled 67 to 28 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-exp: 36.0ms (61.4% of total)

ival-mult: 12.0ms (20.5% of total)

ival-log1p: 5.0ms (8.5% of total)

ival-sub: 2.0ms (3.4% of total)

ival-add: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess47.0ms (0.6%)

Memory

-0.7MiB live, 38.6MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify40.0ms (0.5%)

Memory

-22.6MiB live, 18.1MiB 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

localize32.0ms (0.4%)

Memory

1.5MiB live, 40.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(exp.f64 x)
accuracy	0.0078125	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.2421181215638119	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

24.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 10.0ms (59.6% of total)

ival-log1p: 3.0ms (17.9% of total)

ival-mult: 2.0ms (11.9% of total)

ival-sub: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (0.8%)

Memory

6.6MiB live, 123.2MiB allocated

Counts

5 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(log (+ 1 (exp x)))
21.0ms	x	@	-inf	(log (+ 1 (exp x)))
8.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
0.0ms	x	@	0	(log (+ 1 (exp x)))
0.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))

simplify180.0ms (2.2%)

Memory

19.2MiB live, 293.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	472
1	180	472
2	389	472
3	1353	472
4	4014	442
5	6856	442
0	8132	372

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite237.0ms (2.9%)

Memory

-9.0MiB live, 465.6MiB 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	23
0	13	23
1	47	23
2	311	23
3	2718	23
0	9051	19

Stop Event

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

Counts

5 → 368

Calls

Call 1

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

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

eval78.0ms (1%)

Memory: 9.7MiB live, 174.1MiB allocated
Compiler: Compiled 15 452 to 1 462 computations (90.5% saved)

prune66.0ms (0.8%)

Memory

-2.7MiB live, 199.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

99.7%

Counts

453 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 x y))
▶	91.3%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	71.4%	#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))))
	78.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
▶	83.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
▶	52.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
▶	48.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	47.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 166 to 112 computations (32.5% saved)

simplify60.0ms (0.7%)

Memory

-12.0MiB live, 67.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

1 228×	`lower-fma.f32`
1 222×	`lower-fma.f64`
484×	`lower-*.f32`
480×	`lower-*.f64`
324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	159
0	47	159
1	78	159
2	107	159
3	187	159
4	245	159
5	355	159
6	541	159
7	718	159
8	930	159
9	1086	159
10	1222	159
11	1270	159
12	1323	159
13	1326	159
0	1326	159

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (0.9%)

Memory

-5.9MiB live, 151.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.2460243715638119	(log1p.f64 (exp.f64 x))
accuracy	32.82476455754431	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 x y))
accuracy	0.2421181215638119	(log.f64 #s(approx (+ 1 (exp x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	21.832054668551702	#s(approx (+ 1 (exp x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
accuracy	10.890909517403546	#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	30.13499589485582	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	0.2421181215638119	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	19.3491589635667	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

40.0ms

256×

valid

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (34.7% of total)

ival-add: 4.0ms (17.3% of total)

ival-log: 3.0ms (13% of total)

ival-log1p: 3.0ms (13% of total)

ival-exp: 2.0ms (8.7% of total)

ival-sub: 2.0ms (8.7% of total)

ival-neg: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

0.7MiB live, 39.7MiB allocated

Counts

18 → 300

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

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

75 calls:

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

simplify209.0ms (2.6%)

Memory

43.5MiB live, 355.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 256×	`lower-fma.f64`
12 256×	`lower-fma.f32`
3 512×	`lower-*.f64`
3 512×	`lower-*.f32`
1 840×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	2014
1	307	2014
2	776	2002
3	2931	1844
4	7059	1844
0	8170	1540

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

rewrite278.0ms (3.4%)

Memory

-35.8MiB live, 449.4MiB allocated

Rules

5 654×	`lower-fma.f32`
5 648×	`lower-fma.f64`
4 344×	`lower-*.f32`
4 340×	`lower-*.f64`
4 032×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	137
0	47	137
1	173	137
2	1185	137
0	8347	137

Stop Event

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

Counts

18 → 293

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

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

eval71.0ms (0.9%)

Memory: 17.6MiB live, 177.0MiB allocated
Compiler: Compiled 12 960 to 1 093 computations (91.6% saved)

prune73.0ms (0.9%)

Memory

0.8MiB live, 161.4MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	603	16	619
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	608	19	627

Accuracy

99.7%

Counts

627 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.3%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
✓	83.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 x y))
	47.7%	#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))))
	49.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 9 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (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 #s(literal 1/2 binary64) y))) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))))
▶	18.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	24.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
▶	15.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))))
	29.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y y)) y)))
	15.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (.f64 y (*.f64 y y)))))))
	29.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y))))))
	15.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))))
	29.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))
✓	52.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓	48.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	46.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	47.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
▶	37.5%	#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))))
	49.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (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)))))
▶	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 622 to 314 computations (49.5% saved)

simplify166.0ms (2%)

Memory

-3.2MiB live, 272.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
cost-diff	64	(fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 x y)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 x y))))
cost-diff	640	(.f64 #s(literal 0 binary64) (.f64 x y))
cost-diff	2944	(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
cost-diff	0	(.f64 x (/.f64 (neg.f64 (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))))
cost-diff	64	(fma.f64 y y #s(literal 0 binary64))
cost-diff	1664	(/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
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

6 848×	`lower-fma.f32`
6 838×	`lower-fma.f64`
3 830×	`lower-/.f32`
3 826×	`lower-/.f64`
2 648×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	333
0	74	269
1	144	269
2	334	233
3	1733	233
4	6635	233
0	8271	219

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

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

localize106.0ms (1.3%)

Memory

3.7MiB live, 204.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
accuracy	22.12951315311406	#s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
accuracy	32.82476455754431	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
accuracy	3.871813615610672	(.f64 x (.f64 y (*.f64 x y)))
accuracy	5.167939853387093	(.f64 #s(literal 0 binary64) (.f64 x y))
accuracy	30.13499589485582	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
accuracy	43.672330002540036	(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
accuracy	0	(neg.f64 (.f64 y (.f64 y y)))
accuracy	0.07421875	(.f64 y (.f64 y y))
accuracy	30.13499589485582	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))))
accuracy	44.511914732763664	(/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.00390625	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
accuracy	10.890909517403546	#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	29.802316219200627	#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	0.2421181215638119	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	19.3491589635667	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

65.0ms

256×

valid

Compiler

Compiled 252 to 40 computations (84.1% saved)

Precisions

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

ival-mult: 19.0ms (43.5% of total)

ival-add: 8.0ms (18.3% of total)

ival-div: 3.0ms (6.9% of total)

ival-log: 3.0ms (6.9% of total)

ival-log1p: 3.0ms (6.9% of total)

ival-neg: 3.0ms (6.9% of total)

ival-exp: 2.0ms (4.6% of total)

ival-sub: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series25.0ms (0.3%)

Memory

16.4MiB live, 56.6MiB allocated

Counts

25 → 444

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

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

Calls

111 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))
0.0ms	y	@	0	(+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))
0.0ms	x	@	inf	(+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))
0.0ms	y	@	inf	(+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))
0.0ms	y	@	inf	(/ (neg (* y (* y y))) (+ (* y y) 0))

simplify223.0ms (2.8%)

Memory

-7.7MiB live, 383.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 904×	`lower-fma.f64`
11 904×	`lower-fma.f32`
3 302×	`lower-*.f64`
3 302×	`lower-*.f32`
1 704×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	2639
1	449	2564
2	1124	2552
3	4050	2544
0	8136	2262

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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

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

rewrite524.0ms (6.5%)

Memory

-521.4MiB live, 489.6MiB allocated

Rules

6 800×	`lower-fma.f32`
6 790×	`lower-fma.f64`
4 102×	`lower-/.f32`
4 098×	`lower-/.f64`
3 674×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	288
0	74	221
1	284	188
2	2225	188
0	8481	174

Stop Event

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

Counts

25 → 1 032

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

eval277.0ms (3.4%)

Memory: 14.2MiB live, 356.4MiB allocated
Compiler: Compiled 33 738 to 2 617 computations (92.2% saved)

prune255.0ms (3.2%)

Memory

-26.6MiB live, 468.6MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1 454	22	1 476
Fresh	5	6	11
Picked	2	3	5
Done	1	2	3
Total	1 462	33	1 495

Accuracy

99.7%

Counts

1 495 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	47.7%	#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))))
	49.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 9 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (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 #s(literal 1/2 binary64) y))) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))))
▶	9.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	18.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	10.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) x) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	0.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 y y)))))
	5.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (/.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 y y))))))
	17.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (.f64 (.f64 (.f64 y x) x) y)))
	9.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (.f64 (.f64 y y) (.f64 x x))))
▶	24.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	0.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 y y)))))
▶	9.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)))
	1.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y x) (.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (/.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))))
	12.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (neg.f64 x)))) (.f64 x (.f64 x (.f64 y y))))))
	11.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 y y)))))
▶	52.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
	29.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))))
✓	52.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 y (neg.f64 x))))
✓	48.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	46.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	47.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	20.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
✓	37.5%	#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))))
▶	3.4%	#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)))))
	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
	49.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (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)))))
✓	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
	7.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
	7.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))

Compiler

Compiled 1 233 to 589 computations (52.2% saved)

simplify317.0ms (3.9%)

Memory

15.4MiB live, 441.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	64	(fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 x y)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 x y))))
cost-diff	640	(.f64 #s(literal 0 binary64) (.f64 x y))
cost-diff	2944	(/.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
cost-diff	0	(neg.f64 (.f64 x (.f64 y (*.f64 y y))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)))
cost-diff	1024	(.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))
cost-diff	1920	(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
cost-diff	0	(neg.f64 (.f64 x (.f64 y (*.f64 x y))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 x y))
cost-diff	1664	(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))

Rules

18 948×	`lower-fma.f32`
18 946×	`lower-fma.f64`
3 646×	`lower-*.f32`
3 618×	`lower-*.f64`
1 822×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	396
0	75	269
1	161	253
2	528	243
3	4114	243
4	6838	243
0	8377	231

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (1.9%)

Memory

-4.2MiB live, 280.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.167939853387093	(.f64 #s(literal 0 binary64) (.f64 x y))
accuracy	14.284364622184398	(.f64 (.f64 y y) (*.f64 x x))
accuracy	30.13499589485582	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
accuracy	43.672330002540036	(/.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
accuracy	3.844644562339422	(.f64 x (.f64 y (*.f64 y y)))
accuracy	21.30211685099716	(.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))
accuracy	30.13499589485582	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)))
accuracy	47.240435938521316	(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
accuracy	0.12109375	(.f64 y (.f64 x y))
accuracy	3.871813615610672	(.f64 x (.f64 y (*.f64 x y)))
accuracy	30.13499589485582	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
accuracy	34.05466535438721	(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
accuracy	0.00390625	(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
accuracy	10.890909517403546	#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	29.802316219200627	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
accuracy	30.33153098604259	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
accuracy	0.1875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
accuracy	30.13499589485582	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))

Samples

78.0ms

256×

valid

Compiler

Compiled 300 to 41 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 29.0ms (50.7% of total)

ival-div: 7.0ms (12.2% of total)

ival-neg: 6.0ms (10.5% of total)

ival-add: 4.0ms (7% of total)

ival-log: 3.0ms (5.2% of total)

ival-log1p: 3.0ms (5.2% of total)

ival-exp: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

21.5MiB live, 55.9MiB allocated

Counts

25 → 564

Calls

Call 1

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

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

Calls

141 calls:

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

simplify264.0ms (3.3%)

Memory

-9.7MiB live, 269.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 330×	`lower-fma.f64`
7 330×	`lower-fma.f32`
2 344×	`lower-*.f64`
2 344×	`lower-*.f32`
1 776×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	3332
1	274	3332
2	717	3332
3	2872	3182
4	6066	3182
0	8137	2973

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(* -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))
(/ -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)))))
(* 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 (* 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))
(* 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 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -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 (* 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))
(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 (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -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))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (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))
(* 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))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (pow y 3))
(* x (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))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))

Outputs
(* -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)
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(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))

rewrite304.0ms (3.8%)

Memory

14.0MiB live, 375.9MiB allocated

Rules

4 328×	`lower-fma.f32`
4 326×	`lower-fma.f64`
3 662×	`lower-/.f32`
3 652×	`lower-/.f64`
3 244×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	332
0	75	234
1	289	207
2	2198	189
0	8626	177

Stop Event

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

Counts

25 → 1 341

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 y x)))
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) #s(literal 0 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(-.f64 (neg.f64 (*.f64 y x)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y x)) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 y) (.f64 y (.f64 y x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) #s(literal 0 binary64))
(fma.f64 y (neg.f64 x) #s(literal 0 binary64))
(fma.f64 y (/.f64 (.f64 y (.f64 x x)) (neg.f64 (*.f64 y x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y (.f64 y (*.f64 x x))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 x (.f64 y (.f64 y (*.f64 x x)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 y) #s(literal 0 binary64))
(fma.f64 x (/.f64 (.f64 y (.f64 y x)) (neg.f64 (*.f64 y x))) #s(literal 0 binary64))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (neg.f64 (*.f64 y x))) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y x)) (/.f64 x (neg.f64 (*.f64 y x))) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (neg.f64 (*.f64 y x))) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (/.f64 (.f64 (.f64 y (.f64 x x)) (neg.f64 x)) (.f64 y (.f64 y (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 (.f64 y (.f64 y x)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) (pow.f64 (/.f64 x (.f64 y (.f64 y x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (neg.f64 (*.f64 y x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) y #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 (.f64 y (.f64 y x)) (*.f64 y x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 x (.f64 (.f64 y (*.f64 y x)) (neg.f64 x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 (.f64 y (.f64 y x)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y (.f64 y x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y x)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (pow.f64 (/.f64 (neg.f64 x) (.f64 y (.f64 y x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y (.f64 y (.f64 x x)))) (/.f64 x (.f64 (.f64 y (*.f64 y x)) (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (.f64 y (.f64 y (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 y (.f64 y (*.f64 x x))) y) #s(literal 0 binary64))
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (.f64 y (.f64 y x)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y (*.f64 x x))) y) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (.f64 y (*.f64 y x)) (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y (*.f64 x x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y (.f64 (.f64 y (*.f64 y x)) (neg.f64 x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 y (*.f64 y x)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 y (.f64 y (.f64 y (*.f64 x x)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (.f64 y (.f64 y x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 y x) (neg.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (neg.f64 (.f64 y x)) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 y x) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal 0 binary64))
(neg.f64 (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (.f64 y (.f64 y (*.f64 x x))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 (.f64 y (*.f64 y x)) (neg.f64 x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (.f64 y (.f64 y (*.f64 x x))) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) (neg.f64 x))) (.f64 y (.f64 y (.f64 x x))))
(/.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) (neg.f64 x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 #s(literal 0 binary64) (neg.f64 (.f64 y x))))))
(/.f64 (.f64 y (.f64 y (.f64 x x))) (neg.f64 (.f64 y x)))
(/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y x)) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))))
(/.f64 (.f64 (.f64 y (.f64 y x)) (neg.f64 x)) (.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))))
(/.f64 (/.f64 (.f64 y (.f64 y (*.f64 x x))) y) (neg.f64 x))
(/.f64 (/.f64 (.f64 (.f64 y (*.f64 y x)) (neg.f64 x)) y) x)
(/.f64 (/.f64 (.f64 y (.f64 y (*.f64 x x))) (neg.f64 x)) y)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 y x))) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) (neg.f64 x)))) (.f64 (.f64 y (.f64 y x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y x)) (neg.f64 x))) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) (neg.f64 x))))) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) (/.f64 (.f64 y (.f64 y (.f64 x x))) y))) (.f64 y (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) (/.f64 (.f64 y (.f64 y (.f64 x x))) x))) (.f64 y (*.f64 y x)))
(/.f64 (neg.f64 (/.f64 (.f64 y (.f64 y (*.f64 x x))) y)) x)
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 y (*.f64 y x)) (neg.f64 x)) y)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 y (.f64 y (*.f64 x x))) (neg.f64 x))) (neg.f64 y))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) (neg.f64 x)) #s(literal 0 binary64)) (fma.f64 y (.f64 y (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 y x)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) (neg.f64 x))) #s(literal 0 binary64)) (fma.f64 y (.f64 y (.f64 x x)) (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (*.f64 y x)) #s(literal 0 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (neg.f64 (.f64 y x)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y (*.f64 y x)) (neg.f64 y)))
(.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 y) (.f64 y (*.f64 y x))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y x))
(*.f64 y (neg.f64 x))
(.f64 y (/.f64 (.f64 y (.f64 x x)) (neg.f64 (.f64 y x))))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y (.f64 y (.f64 x x))) x))
(.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 x (.f64 y (.f64 y (.f64 x x)))) #s(literal -1 binary64)))
(*.f64 x (neg.f64 y))
(.f64 x (/.f64 (.f64 y (.f64 y x)) (neg.f64 (.f64 y x))))
(.f64 (.f64 y x) #s(literal -1 binary64))
(.f64 (.f64 y x) (/.f64 (.f64 y x) (neg.f64 (.f64 y x))))
(.f64 (.f64 y (.f64 y x)) (/.f64 x (neg.f64 (.f64 y x))))
(.f64 (.f64 y y) (/.f64 (.f64 x x) (neg.f64 (.f64 y x))))
(.f64 (.f64 y y) (/.f64 (.f64 (.f64 y (.f64 x x)) (neg.f64 x)) (.f64 y (.f64 y (.f64 x x)))))
(.f64 (/.f64 x (neg.f64 y)) (/.f64 (.f64 y (*.f64 y x)) x))
(.f64 (/.f64 x (neg.f64 y)) (pow.f64 (/.f64 x (.f64 y (*.f64 y x))) #s(literal -1 binary64)))
(.f64 (.f64 x x) (/.f64 (.f64 y y) (neg.f64 (.f64 y x))))
(*.f64 (neg.f64 x) y)
(.f64 (neg.f64 x) (/.f64 (.f64 y (.f64 y x)) (.f64 y x)))
(.f64 (neg.f64 (.f64 y x)) #s(literal 1 binary64))
(.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x x)))))
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eval240.0ms (3%)

Memory: 9.5MiB live, 398.2MiB allocated
Compiler: Compiled 43 416 to 2 671 computations (93.8% saved)

prune230.0ms (2.8%)

Memory

-8.8MiB live, 385.5MiB allocated

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	1 959	9	1 968
Fresh	3	20	23
Picked	3	2	5
Done	0	5	5
Total	1 965	36	2 001

Accuracy

99.7%

Counts

2 001 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
	47.7%	#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))))
	10.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y x) (neg.f64 (.f64 y y)))) (.f64 y y)) (*.f64 y y)))
	49.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 9 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (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 #s(literal 1/2 binary64) y))) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))))
	9.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (neg.f64 x))) (.f64 (.f64 y (.f64 x x)) y)))
	18.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	0.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 y y)))))
	5.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (/.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 y y))))))
	19.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 y (.f64 x x))) (neg.f64 (.f64 y x))))
	11.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 y x)))) (neg.f64 (.f64 y (.f64 y x)))))) (+.f64 #s(literal 0 binary64) (*.f64 x y))))
	15.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 (.f64 y y) x))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
	22.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 y (.f64 y x)) (/.f64 x (*.f64 y x)))))
	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	15.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y x) (neg.f64 (.f64 y y))))))
	28.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (.f64 y (.f64 y (*.f64 x x))) y))))
	0.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 y y)))))
	19.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (.f64 y (.f64 y (*.f64 x x)))))
	1.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y x) (.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (/.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))))
	12.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (neg.f64 x)))) (.f64 x (.f64 x (.f64 y y))))))
	11.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 y y)))))
✓	52.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
	29.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))))
✓	52.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 y (neg.f64 x))))
✓	48.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	46.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	47.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	20.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
✓	37.5%	#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))))
✓	3.4%	#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)))))
	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
	49.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (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)))))
✓	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
	7.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
	7.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))

Compiler

Compiled 1 586 to 515 computations (67.5% saved)

regimes57.0ms (0.7%)

Memory

14.1MiB live, 91.4MiB 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)) (neg.f64 (*.f64 y (neg.f64 x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 y (.f64 x x))) (neg.f64 (.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (.f64 y (.f64 y (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 (.f64 y y) x))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y x) (neg.f64 (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (.f64 y (.f64 y (*.f64 x x))) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (/.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y x) (.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (neg.f64 x)))) (.f64 x (.f64 x (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (.f64 (.f64 y y) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (.f64 (.f64 (.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (neg.f64 x))) (.f64 (.f64 y (.f64 x x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 y (.f64 y x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y x) (neg.f64 (.f64 y y)))) (.f64 y y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) x) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 y x)))) (neg.f64 (.f64 y (.f64 y x)))))) (+.f64 #s(literal 0 binary64) (*.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (/.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.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)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 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)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (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)))))
#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)) (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 9 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (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 #s(literal 1/2 binary64) y))) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))))

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

Calls

3 calls:

20.0ms	x
18.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
16.0ms	y

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes70.0ms (0.9%)

Memory

-14.4MiB live, 60.3MiB allocated

Counts

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

36.0ms	x
16.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
15.0ms	y

Results

Accuracy	Segments	Branch
99.0%	2	`x`
91.3%	1	`y`
97.5%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes17.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes60.0ms (0.7%)

Memory

-25.2MiB live, 14.1MiB allocated

Counts

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

58.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes37.0ms (0.5%)

Memory

-14.6MiB live, 53.3MiB allocated

Counts

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

22.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
13.0ms	x

Results

Accuracy	Segments	Branch
97.3%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
82.6%	2	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes15.0ms (0.2%)

Memory

-9.9MiB live, 28.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
97.2%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

42 → 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)) (neg.f64 (*.f64 y (neg.f64 x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 y (.f64 x x))) (neg.f64 (.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (.f64 y (.f64 y (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 (.f64 y y) x))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y x) (neg.f64 (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (.f64 y (.f64 y (*.f64 x x))) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (/.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y x) (.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (neg.f64 x)))) (.f64 x (.f64 x (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (.f64 (.f64 y y) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (.f64 (.f64 (.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (neg.f64 x))) (.f64 (.f64 y (.f64 x x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 y (.f64 y x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y x) (neg.f64 (.f64 y y)))) (.f64 y y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) x) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 y (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (neg.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 y x)))) (neg.f64 (.f64 y (.f64 y x)))))) (+.f64 #s(literal 0 binary64) (*.f64 x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 y (neg.f64 x))) (/.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.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)) (log1p.f64 #s(approx (exp x) #s(literal 1 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
96.7%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes108.0ms (1.3%)

Memory

-5.3MiB live, 69.6MiB allocated

Counts

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

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

Calls

3 calls:

52.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
42.0ms	x
12.0ms	y

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB 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:

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

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch23.0ms (0.3%)

Memory

-16.9MiB live, 26.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-7259376256667241.0	-63215.58156179859

Samples

15.0ms

160×

valid

Compiler

Compiled 234 to 161 computations (31.2% saved)

Precisions

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

ival-exp: 2.0ms (39.7% of total)

ival-sub: 1.0ms (19.8% of total)

ival-log1p: 1.0ms (19.8% of total)

ival-mult: 1.0ms (19.8% of total)

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

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7259376256667241.0	-63215.58156179859

Compiler

Compiled 204 to 141 computations (30.9% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7259376256667241.0	-63215.58156179859

Compiler

Compiled 194 to 131 computations (32.5% 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	-7259376256667241.0	-63215.58156179859

Compiler

Compiled 194 to 131 computations (32.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7260027045079909	192.1088637770131
0.0ms	0.1497915223780435	0.6930150397367313

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7260027045079909	192.1088637770131
0.0ms	0.1497915223780435	0.6930150397367313

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	1.7260027045079909	192.1088637770131
0.0ms	0.1497915223780435	0.6930150397367313

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify15.0ms (0.2%)

Memory

-13.6MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-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	61	384
1	82	384
2	93	384
3	98	384
4	100	384

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 -64000 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 -64000 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 -64000 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 -64000 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 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 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 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -64000 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 -64000 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 -64000 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 -64000 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 -64000 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 -64000 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 -64000 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 -64000 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 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (neg.f64 (.f64 x y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 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 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (neg.f64 (.f64 x y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) #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 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (neg.f64 (.f64 x y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

soundness1.4s (16.9%)

Memory

11.9MiB live, 722.9MiB allocated

Rules

12 256×	`lower-fma.f64`
12 256×	`lower-fma.f32`
11 904×	`lower-fma.f64`
11 904×	`lower-fma.f32`
11 474×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	472
1	180	472
2	389	472
3	1353	472
4	4014	442
5	6856	442
0	8132	372
0	105	2014
1	307	2014
2	776	2002
3	2931	1844
4	7059	1844
0	8170	1540
0	29	137
0	47	137
1	173	137
2	1185	137
0	8347	137
0	142	2639
1	449	2564
2	1124	2552
3	4050	2544
0	8136	2262

Stop Event

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

Compiler

Compiled 356 to 144 computations (59.6% saved)

preprocess213.0ms (2.6%)

Memory: 21.1MiB live, 136.7MiB allocated
Compiler: Compiled 496 to 132 computations (73.4% 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%)

analyze74.0ms (0.9%)

sample1.2s (14.4%)

explain190.0ms (2.3%)

preprocess47.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify40.0ms (0.5%)

localize32.0ms (0.4%)

series64.0ms (0.8%)

simplify180.0ms (2.2%)

rewrite237.0ms (2.9%)

eval78.0ms (1%)

prune66.0ms (0.8%)

simplify60.0ms (0.7%)

localize69.0ms (0.9%)

series18.0ms (0.2%)

simplify209.0ms (2.6%)

rewrite278.0ms (3.4%)

eval71.0ms (0.9%)

prune73.0ms (0.9%)

simplify166.0ms (2%)

localize106.0ms (1.3%)

series25.0ms (0.3%)

simplify223.0ms (2.8%)

rewrite524.0ms (6.5%)

eval277.0ms (3.4%)

prune255.0ms (3.2%)

simplify317.0ms (3.9%)

localize152.0ms (1.9%)

series28.0ms (0.3%)

simplify264.0ms (3.3%)

rewrite304.0ms (3.8%)

eval240.0ms (3%)

prune230.0ms (2.8%)

regimes57.0ms (0.7%)

regimes70.0ms (0.9%)

regimes17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes60.0ms (0.7%)

regimes37.0ms (0.5%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes108.0ms (1.3%)

regimes4.0ms (0.1%)

bsearch23.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

soundness1.4s (16.9%)

preprocess213.0ms (2.6%)

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