Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze82.0ms (1.2%)

Memory

-2.3MiB live, 288.1MiB 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 (18.1%)

Memory

3.4MiB live, 4 358.1MiB allocated

Samples

563.0ms	8 256×	0	valid
228.0ms	2 732×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 507.0ms

ival-log1p: 133.0ms (26.2% of total)

ival-sub: 110.0ms (21.7% of total)

ival-exp: 107.0ms (21.1% of total)

ival-mult: 103.0ms (20.3% of total)

adjust: 40.0ms (7.9% of total)

ival-true: 9.0ms (1.8% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain110.0ms (1.7%)

Memory

1.4MiB live, 434.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
5	73	(-1.706071522562758e+166 2.786556329271248e-196)	-	`(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	75	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	3	0
↳	`(exp.f64 x)`	overflow	3
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	3

Confusion

	Predicted +	Predicted -
+	4	0
-	74	178

Precision

0.05128205128205128

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	74	0	178

Precision?

0.05128205128205128

Recall?

1.0

Freqs

test

number	freq
0	178
1	78

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 67 to 28 computations (58.2% saved)

Precisions

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

ival-log1p: 6.0ms (26.3% of total)

ival-exp: 5.0ms (21.9% of total)

ival-mult: 5.0ms (21.9% of total)

ival-sub: 3.0ms (13.1% of total)

ival-add: 3.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess33.0ms (0.5%)

Memory

24.4MiB live, 119.7MiB 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify15.0ms (0.2%)

Memory

-8.2MiB live, 40.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.5%)

Memory

-13.4MiB live, 129.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	1.22431118882125	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

20.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-exp: 3.0ms (27.4% of total)

ival-log1p: 3.0ms (27.4% of total)

ival-mult: 2.0ms (18.3% of total)

ival-sub: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.9%)

Memory

-4.3MiB live, 233.7MiB allocated

Counts

4 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(log (+ 1 (exp x)))
21.0ms	x	@	-inf	(log (+ 1 (exp x)))
3.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
0.0ms	x	@	0	(log (+ 1 (exp x)))
0.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))

simplify190.0ms (2.9%)

Memory

35.8MiB live, 517.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite280.0ms (4.2%)

Memory

-8.1MiB live, 853.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 359

Calls

Call 1

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

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

eval57.0ms (0.9%)

Memory: 1.1MiB live, 236.0MiB allocated
Compiler: Compiled 15 107 to 1 438 computations (90.5% saved)

prune68.0ms (1%)

Memory

5.3MiB live, 300.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

99.7%

Counts

420 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	90.3%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	76.8%	#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))))
▶	78.9%	#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))))
	84.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
▶	48.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
▶	52.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 154 to 104 computations (32.5% saved)

simplify80.0ms (1.2%)

Memory

-12.4MiB live, 177.8MiB 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 #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
cost-diff	0	(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff	0	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(log1p.f64 (exp.f64 x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Rules

2 284×	`lower-fma.f32`
2 278×	`lower-fma.f64`
596×	`lower-*.f32`
592×	`lower-*.f64`
484×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	128
0	42	128
1	67	128
2	96	128
3	177	128
4	304	128
5	473	128
6	817	128
7	1373	128
8	1943	128
9	2096	128
10	2127	128
11	2127	128
0	2127	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (1.1%)

Memory

-16.8MiB live, 223.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.7263386320919756	(log1p.f64 (exp.f64 x))
accuracy	30.099323453028855	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
accuracy	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
accuracy	13.508392951419495	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	1.22431118882125	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	17.26099549621027	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
accuracy	0	(*.f64 x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	32.98384665833176	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
accuracy	0	(neg.f64 y)
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
accuracy	0.7263386320919756	(log1p.f64 (exp.f64 x))

Samples

46.0ms

256×

valid

Compiler

Compiled 121 to 23 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 8.0ms (30.2% of total)

ival-add: 5.0ms (18.9% of total)

ival-log1p: 4.0ms (15.1% of total)

ival-sub: 3.0ms (11.3% of total)

ival-log: 3.0ms (11.3% of total)

ival-exp: 2.0ms (7.5% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

5.5MiB live, 52.4MiB allocated

Counts

16 → 288

Calls

Call 1

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

Calls

72 calls:

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

simplify201.0ms (3%)

Memory

32.8MiB live, 458.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 672×	`lower-fma.f64`
11 672×	`lower-fma.f32`
3 498×	`lower-*.f64`
3 498×	`lower-*.f32`
2 326×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	1981
1	424	1898
2	1060	1898
3	3907	1886
0	8284	1587

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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

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

rewrite266.0ms (4%)

Memory

-20.8MiB live, 702.3MiB allocated

Rules

4 746×	`lower-*.f32`
4 742×	`lower-*.f64`
4 404×	`lower-/.f64`
4 404×	`lower-/.f32`
3 588×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	108
0	42	108
1	149	108
2	1068	108
0	8374	108

Stop Event

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

Counts

16 → 354

Calls

Call 1

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

Outputs
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (.f64 y (.f64 x (*.f64 y x))) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (/.f64 (.f64 y (.f64 x (*.f64 y x))) (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y (.f64 x (.f64 y x))))) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y (.f64 x (*.f64 y x))))))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (.f64 y (.f64 x (*.f64 y x))) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(fma.f64 (.f64 y (.f64 x (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))))))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (log1p.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y (.f64 x (*.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))
(/.f64 (-.f64 (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (*.f64 y x)))) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y (.f64 x (*.f64 y x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (*.f64 y x))))) (neg.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (.f64 (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))) (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y (.f64 x (.f64 y x))))) (.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y (.f64 x (*.f64 y x))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y (.f64 x (.f64 y x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y (.f64 x (*.f64 y x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (.f64 y x))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) #s(literal 2 binary64)))) (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y (.f64 x (.f64 y x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (fma.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (.f64 y x))) (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 x (.f64 y x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (.f64 y x))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y (.f64 x (*.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))
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(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (-.f64 (.f64 y y) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 y))))))
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(.f64 (neg.f64 (.f64 (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
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(.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))
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(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/16 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (*.f64 x #s(literal 1/16 binary64))))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/16 binary64))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 x #s(literal 1/16 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/16 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (*.f64 x #s(literal 1/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (*.f64 x #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64))) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/16 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 #s(literal 1/64 binary64) (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/64 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 x #s(literal 1/16 binary64))))))
(.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log.f64 #s(literal 2 binary64))

eval95.0ms (1.4%)

Memory: -11.3MiB live, 322.0MiB allocated
Compiler: Compiled 15 453 to 1 321 computations (91.5% saved)

prune110.0ms (1.7%)

Memory

30.3MiB live, 371.4MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	699	15	714
Fresh	3	0	3
Picked	0	5	5
Done	0	0	0
Total	702	20	722

Accuracy

99.7%

Counts

722 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	90.3%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	90.3%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	76.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
✓	78.9%	#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))))
▶	84.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 #s(literal 0 binary64) (*.f64 y x))))))
	78.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log.f64 #s(literal 2 binary64))))
	12.8%	#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)))))))
▶	26.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y))))))
	26.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))
✓	48.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓	52.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	51.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
▶	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	29.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
▶	5.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
	55.7%	#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)))))
	52.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 440 to 267 computations (39.3% saved)

simplify168.0ms (2.5%)

Memory

10.7MiB live, 389.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y)
cost-diff	0	(fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #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(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (exp x) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
cost-diff	0	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y))))))
cost-diff	448	(/.f64 y (neg.f64 (*.f64 y y)))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal 1/8 binary64)))
cost-diff	0	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
cost-diff	0	#s(approx (exp x) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))

Rules

8 082×	`lower-fma.f32`
8 078×	`lower-fma.f64`
3 006×	`lower-*.f32`
2 998×	`lower-*.f64`
1 962×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	216
0	53	210
1	94	206
2	167	195
3	493	195
4	1064	195
5	2510	195
6	4631	195
0	8443	179

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (1.5%)

Memory

-42.3MiB live, 246.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
accuracy	13.508392951419495	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
accuracy	20.454703223313334	#s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))
accuracy	0.7263386320919756	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
accuracy	20.20110447761273	#s(approx (exp x) #s(literal 1 binary64))
accuracy	30.099323453028855	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
accuracy	0	(neg.f64 (*.f64 y y))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
accuracy	29.210327914698983	(/.f64 y (neg.f64 (*.f64 y y)))
accuracy	32.98384665833176	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y))))))
accuracy	0	(.f64 x (.f64 x #s(literal 1/8 binary64)))
accuracy	0	(*.f64 x #s(literal 1/8 binary64))
accuracy	13.508392951419495	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
accuracy	48.205624965201224	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64))))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
accuracy	0.7263386320919756	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
accuracy	20.20110447761273	#s(approx (exp x) #s(literal 1 binary64))

Samples

50.0ms

256×

valid

Compiler

Compiled 154 to 27 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 13.0ms (38.1% of total)

ival-add: 5.0ms (14.6% of total)

ival-div: 4.0ms (11.7% of total)

ival-log: 3.0ms (8.8% of total)

ival-log1p: 3.0ms (8.8% of total)

ival-exp: 2.0ms (5.9% of total)

ival-sub: 2.0ms (5.9% of total)

ival-neg: 2.0ms (5.9% of total)

exact: 1.0ms (2.9% of total)

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

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

series14.0ms (0.2%)

Memory

41.3MiB live, 41.3MiB allocated

Counts

19 → 324

Calls

Call 1

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

Calls

81 calls:

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

simplify219.0ms (3.3%)

Memory

-39.5MiB live, 485.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 158×	`lower-fma.f64`
11 158×	`lower-fma.f32`
3 520×	`lower-*.f64`
3 520×	`lower-*.f32`
2 232×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	2253
1	424	2162
2	1051	2162
3	3895	2138
0	8218	1839

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

rewrite243.0ms (3.7%)

Memory

-0.8MiB live, 768.3MiB allocated

Rules

4 766×	`lower-fma.f32`
4 762×	`lower-fma.f64`
3 978×	`lower-/.f32`
3 974×	`lower-/.f64`
3 586×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	191
0	53	181
1	212	181
2	1528	170
0	8587	154

Stop Event

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

Counts

19 → 336

Calls

Call 1

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

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

eval100.0ms (1.5%)

Memory: 25.1MiB live, 312.9MiB allocated
Compiler: Compiled 9 812 to 935 computations (90.5% saved)

prune109.0ms (1.6%)

Memory

-20.6MiB live, 363.3MiB allocated

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	694	9	703
Fresh	1	9	10
Picked	1	4	5
Done	0	5	5
Total	696	27	723

Accuracy

99.7%

Counts

723 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	90.3%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	90.3%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	76.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
✓	78.9%	#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))))
✓	84.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x))) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 #s(literal 0 binary64) (*.f64 y x))))))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 #s(literal 0 binary64) (*.f64 y x))))))
	48.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	48.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64)))))
▶	78.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log.f64 #s(literal 2 binary64))))
	25.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) y)))
	24.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
▶	25.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x)))
	12.8%	#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)))))))
▶	9.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (.f64 y y) (.f64 y y))))))
	7.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64)) (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))))))
	26.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
✓	48.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓	52.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
▶	51.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
✓	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
▶	29.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
✓	5.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
	55.7%	#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)))))
	52.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 657 to 369 computations (43.8% saved)

simplify166.0ms (2.5%)

Memory

38.4MiB live, 424.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
cost-diff	0	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (.f64 y y) (.f64 y y)))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (.f64 y y) (.f64 y y))))))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y))))
cost-diff	1728	(/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
cost-diff	0	(.f64 (.f64 y (neg.f64 y)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x)))
cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
cost-diff	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
cost-diff	0	(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
cost-diff	0	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
cost-diff	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
cost-diff	0	(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log.f64 #s(literal 2 binary64))))
cost-diff	128	(+.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log.f64 #s(literal 2 binary64)))

Rules

7 028×	`lower-fma.f32`
7 026×	`lower-fma.f64`
3 880×	`lower-*.f32`
3 864×	`lower-*.f64`
2 184×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	312
0	62	272
1	112	260
2	287	239
3	1341	239
4	3293	239
5	5133	239
0	8036	225

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (1.6%)

Memory

-4.5MiB live, 282.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.7263386320919756	(log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
accuracy	20.016690701316573	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	30.099323453028855	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
accuracy	0.12890625	(.f64 (.f64 y y) (*.f64 y y))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y))))
accuracy	32.98384665833176	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (.f64 y y) (.f64 y y))))))
accuracy	47.32271661704962	(/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
accuracy	0	(neg.f64 y)
accuracy	7.669359364693047	(.f64 (.f64 y (neg.f64 y)) x)
accuracy	16.61731944274278	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
accuracy	32.98384665833176	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x)))
accuracy	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
accuracy	0.0078125	(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
accuracy	13.508392951419495	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
accuracy	32.73565240543997	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
accuracy	0.01171875	(+.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log.f64 #s(literal 2 binary64)))
accuracy	13.508392951419495	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log.f64 #s(literal 2 binary64))))

Samples

61.0ms

256×

valid

Compiler

Compiled 236 to 31 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 17.0ms (39.9% of total)

ival-div: 7.0ms (16.4% of total)

ival-log1p: 5.0ms (11.7% of total)

ival-add: 4.0ms (9.4% of total)

ival-log: 3.0ms (7% of total)

ival-exp: 2.0ms (4.7% of total)

ival-sub: 2.0ms (4.7% of total)

ival-neg: 2.0ms (4.7% of total)

exact: 1.0ms (2.3% of total)

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

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

series21.0ms (0.3%)

Memory

7.6MiB live, 54.0MiB allocated

Counts

21 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* (* y (neg y)) x)
1.0ms	x	@	0	(* (* y (neg y)) x)
0.0ms	x	@	inf	(* (* y (neg y)) x)
0.0ms	y	@	0	(* (* y (neg y)) x)
0.0ms	y	@	0	(* (* y y) (* y y))

simplify250.0ms (3.8%)

Memory

-3.2MiB live, 569.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 714×	`lower-fma.f64`
12 714×	`lower-fma.f32`
3 410×	`lower-*.f64`
3 410×	`lower-*.f32`
2 580×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	2669
1	381	2638
2	1000	2638
3	3937	2578
4	7908	2578
0	8597	2269

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 382

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

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

rewrite269.0ms (4.1%)

Memory

-1.0MiB live, 767.1MiB allocated

Rules

5 178×	`lower-*.f32`
5 162×	`lower-*.f64`
4 356×	`lower-/.f32`
4 350×	`lower-/.f64`
2 690×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	255
0	62	239
1	213	219
2	1462	186
0	8474	172

Stop Event

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

Counts

21 → 743

Calls

Call 1

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

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

eval186.0ms (2.8%)

Memory: 14.3MiB live, 581.1MiB allocated
Compiler: Compiled 28 685 to 2 545 computations (91.1% saved)

prune209.0ms (3.2%)

Memory

-1.1MiB live, 668.5MiB allocated

Pruning

36 alts after pruning (24 fresh and 12 done)

	Pruned	Kept	Total
New	1 330	15	1 345
Fresh	4	9	13
Picked	2	3	5
Done	0	9	9
Total	1 336	36	1 372

Accuracy

99.7%

Counts

1 372 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	90.3%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	90.3%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	76.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
✓	78.9%	#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))))
✓	84.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x))) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 #s(literal 0 binary64) (*.f64 y x))))))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 #s(literal 0 binary64) (*.f64 y x))))))
	25.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (.f64 y (neg.f64 y))) y))
	48.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	48.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64))))
	17.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 y (.f64 y y)) (.f64 (.f64 y (neg.f64 y)) x)))
	24.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (neg.f64 y)) (.f64 y y)))
	19.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 y (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y (.f64 y y)) y))) x)))
	25.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 y (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))) x)))
	32.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 x (neg.f64 y)) y)))
	10.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 (.f64 y y) y) (/.f64 y (.f64 y (.f64 y y)))) (.f64 (*.f64 y (neg.f64 y)) x)))
	17.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (*.f64 y (neg.f64 y)) x)))
	48.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))))
✓	9.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (.f64 y y) (.f64 y y))))))
	7.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64)) (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))))))
	20.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y (.f64 y y)) y))))
	26.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
	11.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) (.f64 y y)) (*.f64 y y))))
✓	48.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓	52.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	51.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
✓	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	29.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
✓	5.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
	5.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
	35.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (-.f64 #s(literal 1/2 binary64) y)))))
	55.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
	52.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 082 to 418 computations (61.4% saved)

regimes49.0ms (0.7%)

Memory

-21.6MiB live, 128.8MiB allocated

Counts

48 → 1

Calls

Call 1

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

Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Calls

3 calls:

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

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes44.0ms (0.7%)

Memory

21.6MiB live, 119.3MiB allocated

Counts

46 → 2

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
98.5%	2	`x`
90.3%	1	`y`
97.4%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes15.0ms (0.2%)

Memory

-6.3MiB live, 40.8MiB allocated

Counts

39 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-8.5MiB live, 38.3MiB allocated

Counts

35 → 2

Calls

Call 1

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

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:

12.0ms

Results

Accuracy	Segments	Branch
97.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.3%)

Memory

-26.8MiB live, 70.8MiB allocated

Counts

33 → 3

Calls

Call 1

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

11.0ms	x
9.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
96.9%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
80.5%	2	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes10.0ms (0.2%)

Memory

44.5MiB live, 44.5MiB allocated

Counts

32 → 3

Calls

Call 1

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

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 #s(literal 1 binary64) x))))

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
96.9%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.2%)

Memory

-2.5MiB live, 45.2MiB allocated

Counts

31 → 3

Calls

Call 1

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

8.0ms

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes112.0ms (1.7%)

Memory

0.3MiB live, 95.0MiB allocated

Accuracy

Total -30.9b remaining (-93.7%)

Threshold costs -30.9b (-93.7%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

93.0ms	y
9.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
8.0ms	x

Results

Accuracy	Segments	Branch
48.5%	1	`x`
48.5%	1	`y`
48.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch22.0ms (0.3%)

Memory

-2.5MiB live, 47.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-64.63248361056722	-1.7332550904675674

Samples

6.0ms

112×

valid

Compiler

Compiled 168 to 116 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 1.0ms (27.1% of total)

ival-log1p: 1.0ms (27.1% of total)

ival-mult: 1.0ms (27.1% of total)

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

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

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

bsearch13.0ms (0.2%)

Memory

6.3MiB live, 54.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.7332550904675674	-0.013915412559132726

Samples

7.0ms

112×

valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

Precisions

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

ival-log1p: 2.0ms (41.4% of total)

ival-exp: 1.0ms (20.7% of total)

ival-mult: 1.0ms (20.7% of total)

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

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

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

bsearch14.0ms (0.2%)

Memory

-40.1MiB live, 4.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-64.63248361056722	-1.7332550904675674

Compiler

Compiled 140 to 95 computations (32.1% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	14.47759592215244	12068.2089512225
0.0ms	0.1627209397630057	0.6931408506733836

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	14.47759592215244	12068.2089512225
0.0ms	0.1627209397630057	0.6931408506733836

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	14.47759592215244	12068.2089512225
0.0ms	0.004655436578359077	0.1627209397630057

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify11.0ms (0.2%)

Memory

-0.7MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	329
1	79	329
2	90	329
3	95	329
4	97	329

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -33 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 -3152519739159347/2251799813685248 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 -33 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 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #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 20 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)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))

Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -33 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 -33 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #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 -3152519739159347/2251799813685248 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 -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #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 -33 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 -33 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y x)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 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 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #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 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 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 20 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)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

soundness1.1s (16.1%)

Memory

12.7MiB live, 780.6MiB allocated

Rules

11 672×	`lower-fma.f64`
11 672×	`lower-fma.f32`
11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
4 436×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	400
1	180	400
2	389	400
3	1353	400
4	4014	370
5	6856	370
0	8132	300
0	8	20
0	13	20
1	47	20
2	311	20
3	2718	20
0	9051	16
0	139	1981
1	424	1898
2	1060	1898
3	3907	1886
0	8284	1587

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

Compiler

Compiled 301 to 122 computations (59.5% saved)

preprocess102.0ms (1.5%)

Memory: -3.0MiB live, 280.5MiB allocated
Compiler: Compiled 448 to 140 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze82.0ms (1.2%)

sample1.2s (18.1%)

explain110.0ms (1.7%)

preprocess33.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize30.0ms (0.5%)

series62.0ms (0.9%)

simplify190.0ms (2.9%)

rewrite280.0ms (4.2%)

eval57.0ms (0.9%)

prune68.0ms (1%)

simplify80.0ms (1.2%)

localize74.0ms (1.1%)

series17.0ms (0.3%)

simplify201.0ms (3%)

rewrite266.0ms (4%)

eval95.0ms (1.4%)

prune110.0ms (1.7%)

simplify168.0ms (2.5%)

localize97.0ms (1.5%)

series14.0ms (0.2%)

simplify219.0ms (3.3%)

rewrite243.0ms (3.7%)

eval100.0ms (1.5%)

prune109.0ms (1.6%)

simplify166.0ms (2.5%)

localize106.0ms (1.6%)

series21.0ms (0.3%)

simplify250.0ms (3.8%)

rewrite269.0ms (4.1%)

eval186.0ms (2.8%)

prune209.0ms (3.2%)

regimes49.0ms (0.7%)

regimes44.0ms (0.7%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes23.0ms (0.3%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes112.0ms (1.7%)

bsearch22.0ms (0.3%)

bsearch13.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

soundness1.1s (16.1%)

preprocess102.0ms (1.5%)

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