Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze62.0ms (0.8%)

Memory

8.5MiB live, 127.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.3s (17.8%)

Memory

-10.6MiB live, 1 637.2MiB allocated

Samples

567.0ms	8 256×	0	valid
225.0ms	2 598×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 489.0ms

ival-log1p: 140.0ms (28.6% of total)

ival-sub: 108.0ms (22.1% of total)

ival-exp: 98.0ms (20% of total)

ival-mult: 89.0ms (18.2% of total)

adjust: 39.0ms (8% of total)

ival-true: 10.0ms (2% of total)

ival-assert: 5.0ms (1% of total)

Bogosity

explain112.0ms (1.5%)

Memory

-21.6MiB live, 99.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	87	(-2.2365960486422157e+267 -7.805330826630869e-197)	-	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`
0	0	-	-	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	sensitivity	87	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	2	0
↳	`(exp.f64 x)`	overflow	2
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	2	0
-	87	167

Precision

0.02247191011235955

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	87	0	167

Precision?

0.02247191011235955

Recall?

1.0

Freqs

test

number	freq
0	167
1	89

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 67 to 28 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-log1p: 5.0ms (26.4% of total)

ival-exp: 4.0ms (21.1% of total)

ival-mult: 4.0ms (21.1% of total)

ival-sub: 2.0ms (10.6% of total)

ival-add: 2.0ms (10.6% of total)

ival-true: 1.0ms (5.3% of total)

exact: 0.0ms (0% of total)

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

preprocess29.0ms (0.4%)

Memory

20.3MiB live, 20.3MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.6%)

Memory

-16.3MiB live, 21.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.49582515395848925	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

18.0ms

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: 4.0ms (35.4% of total)

ival-log1p: 3.0ms (26.6% of total)

ival-mult: 2.0ms (17.7% of total)

ival-sub: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series82.0ms (1.1%)

Memory

5.5MiB live, 42.8MiB allocated

Counts

5 → 84

Calls

Call 1

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

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

21 calls:

Time	Variable		Point	Expression
55.0ms	x	@	inf	(log (+ 1 (exp x)))
20.0ms	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))

simplify180.0ms (2.4%)

Memory

18.3MiB live, 206.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite271.0ms (3.7%)

Memory

-4.3MiB live, 313.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	13	23
1	47	23
2	311	23
3	2718	23
0	9051	19

Stop Event

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

Counts

5 → 368

Calls

Call 1

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

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

eval53.0ms (0.7%)

Memory: 2.8MiB live, 87.1MiB allocated
Compiler: Compiled 15 452 to 1 462 computations (90.5% saved)

prune53.0ms (0.7%)

Memory

-22.8MiB live, 98.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	446	6	452
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	447	6	453

Accuracy

100.0%

Counts

453 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.7%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) (*.f64 x y))
▶	91.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	86.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
▶	51.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	50.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
▶	50.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 100 to 66 computations (34% saved)

simplify44.0ms (0.6%)

Memory

20.3MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

804×	`lower-fma.f32`
802×	`lower-fma.f64`
332×	`lower-*.f32`
328×	`lower-*.f64`
232×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	145
0	40	145
1	63	145
2	81	145
3	120	145
4	175	145
5	270	145
6	429	145
7	609	145
8	766	145
9	872	145
10	906	145
11	923	145
12	925	145
0	925	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (0.9%)

Memory

-16.1MiB live, 103.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
accuracy	0.49582515395848925	(log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
accuracy	22.05179691110065	#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
accuracy	8.911702130034536	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	31.876543723468806	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
accuracy	0	(*.f64 x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	30.77340738812898	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
accuracy	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	0	(*.f64 x y)
accuracy	0.49582515395848925	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	18.853172974937223	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

35.0ms

256×

valid

Compiler

Compiled 110 to 19 computations (82.7% saved)

Precisions

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

ival-mult: 6.0ms (28.4% of total)

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

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

ival-log1p: 3.0ms (14.2% of total)

ival-exp: 2.0ms (9.5% of total)

ival-sub: 2.0ms (9.5% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

16 → 276

Calls

Call 1

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

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>

Calls

69 calls:

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

simplify163.0ms (2.2%)

Memory

-12.8MiB live, 219.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 904×	`lower-fma.f64`
9 904×	`lower-fma.f32`
2 552×	`lower-*.f64`
2 552×	`lower-*.f32`
1 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1830
1	282	1830
2	703	1830
3	2647	1680
4	6776	1680
0	8085	1412

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

rewrite260.0ms (3.5%)

Memory

14.5MiB live, 422.8MiB allocated

Rules

4 916×	`lower-fma.f32`
4 914×	`lower-fma.f64`
4 008×	`lower-*.f32`
4 004×	`lower-*.f64`
3 836×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	124
0	40	124
1	154	124
2	1071	124
0	8352	114

Stop Event

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

Counts

16 → 311

Calls

Call 1

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

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

eval73.0ms (1%)

Memory: 2.5MiB live, 156.9MiB allocated
Compiler: Compiled 12 332 to 1 071 computations (91.3% saved)

prune58.0ms (0.8%)

Memory

-20.6MiB live, 140.6MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	603	11	614
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	605	15	620

Accuracy

100.0%

Counts

620 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.7%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
✓	91.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	50.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	20.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x y) x) y (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	30.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
▶	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 y) (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))))
	30.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 y y) (neg.f64 y))))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (neg.f64 y) (*.f64 y y))))))
	30.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y))))))
▶	14.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (.f64 (neg.f64 y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))))
▶	30.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))
✓	51.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	50.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	50.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	38.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))

Compiler

Compiled 363 to 208 computations (42.7% saved)

simplify151.0ms (2%)

Memory

16.0MiB live, 209.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (.f64 (.f64 (neg.f64 y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (.f64 (neg.f64 y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))))
cost-diff	64	(fma.f64 y y #s(literal 0 binary64))
cost-diff	1984	(.f64 (.f64 (neg.f64 y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
cost-diff	0	(.f64 x (/.f64 (.f64 (neg.f64 y) (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 y) (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))))
cost-diff	64	(fma.f64 y y #s(literal 0 binary64))
cost-diff	1664	(/.f64 (.f64 (neg.f64 y) (.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
cost-diff	0	(neg.f64 (*.f64 y y))
cost-diff	0	(.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))
cost-diff	1344	(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
cost-diff	0	#s(approx (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	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))

Rules

2 680×	`lower-fma.f32`
2 676×	`lower-fma.f64`
2 660×	`lower-/.f32`
2 654×	`lower-/.f64`
2 484×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	275
0	59	230
1	114	214
2	287	190
3	930	190
4	2496	190
5	3877	190
6	7582	190
0	8686	180

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

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

localize99.0ms (1.3%)

Memory

-1.3MiB live, 126.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(.f64 (neg.f64 y) (.f64 y y))
accuracy	0.5185597105116393	(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
accuracy	30.77340738812898	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (.f64 (neg.f64 y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))))
accuracy	42.1820878427296	(.f64 (.f64 (neg.f64 y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
accuracy	0	(neg.f64 y)
accuracy	0.06640625	(.f64 (neg.f64 y) (.f64 y y))
accuracy	30.77340738812898	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 y) (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))))
accuracy	42.18701228055296	(/.f64 (.f64 (neg.f64 y) (.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
accuracy	0	(.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
accuracy	0	(neg.f64 (*.f64 y y))
accuracy	28.09244630858984	(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
accuracy	30.77340738812898	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0078125	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
accuracy	8.911702130034536	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
accuracy	30.683615784748554	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	(neg.f64 y)
accuracy	0.48410640395848925	(log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
accuracy	22.05179691110065	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Samples

59.0ms

256×

valid

Compiler

Compiled 215 to 32 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 14.0ms (38.8% of total)

ival-div: 5.0ms (13.9% of total)

ival-add: 5.0ms (13.9% of total)

ival-log: 3.0ms (8.3% of total)

ival-log1p: 3.0ms (8.3% of total)

ival-exp: 2.0ms (5.5% of total)

ival-sub: 2.0ms (5.5% of total)

ival-neg: 2.0ms (5.5% of total)

exact: 1.0ms (2.8% of total)

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

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

series8.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

22 → 384

Calls

Call 1

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

Outputs
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))>
#<alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))>
#<alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (+ 1/2 (* -1 y))))>
#<alt (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))>
#<alt (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))>
#<alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))>
#<alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>

Calls

96 calls:

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

simplify247.0ms (3.3%)

Memory

0.6MiB live, 189.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 726×	`lower-fma.f64`
10 726×	`lower-fma.f32`
2 694×	`lower-*.f64`
2 694×	`lower-*.f32`
1 676×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	2095
1	405	2020
2	965	2020
3	3314	2020
4	7015	2020
0	8123	1784

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 382

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

rewrite256.0ms (3.5%)

Memory

-7.6MiB live, 347.0MiB allocated

Rules

6 278×	`lower-fma.f32`
6 274×	`lower-fma.f64`
3 356×	`lower-*.f32`
3 344×	`lower-*.f64`
3 258×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	233
0	59	177
1	230	161
2	1631	149
0	8363	139

Stop Event

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

Counts

22 → 792

Calls

Call 1

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

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

eval211.0ms (2.9%)

Memory: 3.8MiB live, 241.8MiB allocated
Compiler: Compiled 25 032 to 2 300 computations (90.8% saved)

prune141.0ms (1.9%)

Memory

-1.2MiB live, 241.0MiB allocated

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	1 444	25	1 469
Fresh	3	4	7
Picked	4	1	5
Done	0	3	3
Total	1 451	33	1 484

Accuracy

100.0%

Counts

1 484 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.7%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
✓	91.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	50.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	0.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 #s(literal 0 binary64) (*.f64 y x))))))
	20.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x y) x) y (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	30.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (.f64 x y))))
▶	28.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 x (.f64 y (neg.f64 x)))) (+.f64 #s(literal 0 binary64) (.f64 y x))))
	12.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (.f64 y (.f64 y (neg.f64 y)))) (.f64 y y)))
	29.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (.f64 y (neg.f64 y))) y))
	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
	29.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 y (neg.f64 y))))))
▶	51.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
	7.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 x (.f64 y (.f64 y (neg.f64 y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)))
	13.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (.f64 y y)) (.f64 y (.f64 y (neg.f64 y)))))
	28.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (.f64 y (neg.f64 y))))
	29.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (*.f64 y (neg.f64 y)))))
▶	28.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
	12.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))))
	4.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 y) (.f64 y y)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))))
	30.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 y (neg.f64 y)) y)))
	30.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
	14.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 y y))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))))
	13.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))
	9.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (.f64 (neg.f64 y) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (*.f64 y y)))))
✓	51.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	50.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	50.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	18.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (neg.f64 x))))))
	23.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
	22.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
▶	3.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

Compiler

Compiled 1 004 to 539 computations (46.3% saved)

simplify134.0ms (1.8%)

Memory

4.6MiB live, 118.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (neg.f64 x))))
cost-diff	320	(.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	448	(-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (neg.f64 x)))
cost-diff	640	(-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x))))
cost-diff	0	(.f64 y (.f64 x (*.f64 y (neg.f64 x))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 x (.f64 y (neg.f64 x)))) (+.f64 #s(literal 0 binary64) (.f64 y x))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 y x))
cost-diff	1664	(/.f64 (.f64 y (.f64 x (.f64 y (neg.f64 x)))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
cost-diff	0	(*.f64 y (neg.f64 y))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff	1024	(.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
cost-diff	0	(*.f64 y (neg.f64 x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))))

Rules

3 978×	`lower-fma.f64`
3 978×	`lower-fma.f32`
2 980×	`lower-*.f32`
2 956×	`lower-*.f64`
1 090×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	370
0	67	318
1	134	312
2	362	287
3	2104	287
4	4824	287
5	6559	287
0	8046	270

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (2%)

Memory

17.8MiB live, 94.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.39838795992494	(-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x))))
accuracy	8.911702130034536	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (neg.f64 x))))))
accuracy	29.784548230096238	(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (neg.f64 x))))
accuracy	30.683615784748554	#s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (neg.f64 x)))))
accuracy	0.15234375	(.f64 x (.f64 y (neg.f64 x)))
accuracy	2.835640966916436	(.f64 y (.f64 x (*.f64 y (neg.f64 x))))
accuracy	30.77340738812898	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 x (.f64 y (neg.f64 x)))) (+.f64 #s(literal 0 binary64) (.f64 y x))))
accuracy	33.70243968553457	(/.f64 (.f64 y (.f64 x (.f64 y (neg.f64 x)))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
accuracy	0	(neg.f64 y)
accuracy	0.21875	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy	23.952369036424614	(.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
accuracy	30.77340738812898	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
accuracy	0.0078125	(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
accuracy	8.911702130034536	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
accuracy	30.683615784748554	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
accuracy	34.04741749497418	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.6736000335784396	(/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))
accuracy	0.8147984010004418	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))))
accuracy	30.77340738812898	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))

Samples

62.0ms

256×

valid

Compiler

Compiled 249 to 37 computations (85.1% saved)

Precisions

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

ival-mult: 19.0ms (44.1% of total)

ival-div: 8.0ms (18.5% of total)

ival-sub: 4.0ms (9.3% of total)

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

ival-log1p: 3.0ms (7% of total)

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

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

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

exact: 1.0ms (2.3% of total)

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

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

series25.0ms (0.3%)

Memory

-25.9MiB live, 26.3MiB allocated

Counts

25 → 540

Calls

Call 1

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

Outputs
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* (pow x 2) (- 1/4 (pow y 2)))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 2)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 2)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* x (- 1/2 (* -1 y)))>
#<alt (* x (- 1/2 (* -1 y)))>
#<alt (* x (- 1/2 (* -1 y)))>
#<alt (* x (- 1/2 (* -1 y)))>
#<alt (* x (- 1/2 (* -1 y)))>
#<alt (* x (- 1/2 (* -1 y)))>
#<alt (* x (- 1/2 (* -1 y)))>
#<alt (* x (- 1/2 (* -1 y)))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (* x y)>
#<alt (* y (- (* 1/2 (/ x y)) (* -1 x)))>
#<alt (* y (- (* 1/2 (/ x y)) (* -1 x)))>
#<alt (* y (- (* 1/2 (/ x y)) (* -1 x)))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) x)))>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) x)))>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (/ (* x (- 1/4 (pow y 2))) (- 1/2 (* -1 y)))>
#<alt (/ (* x (- 1/4 (pow y 2))) (- 1/2 (* -1 y)))>
#<alt (/ (* x (- 1/4 (pow y 2))) (- 1/2 (* -1 y)))>
#<alt (/ (* x (- 1/4 (pow y 2))) (- 1/2 (* -1 y)))>
#<alt (/ (* x (- 1/4 (pow y 2))) (- 1/2 (* -1 y)))>
#<alt (/ (* x (- 1/4 (pow y 2))) (- 1/2 (* -1 y)))>
#<alt (/ (* x (- 1/4 (pow y 2))) (- 1/2 (* -1 y)))>
#<alt (/ (* x (- 1/4 (pow y 2))) (- 1/2 (* -1 y)))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>

Calls

135 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(/ (- (* (* x 1/2) (* x 1/2)) (* y (* x (* y x)))) (- (* x 1/2) (* y (neg x))))
1.0ms	x	@	-inf	(/ (- (* (* x 1/2) (* x 1/2)) (* y (* x (* y x)))) (- (* x 1/2) (* y (neg x))))
1.0ms	y	@	inf	(/ 1 (* y (neg x)))
1.0ms	x	@	0	(* y (* x (* y (neg x))))
1.0ms	y	@	0	(* y (* x (* y (neg x))))

simplify206.0ms (2.8%)

Memory

27.5MiB live, 251.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 276×	`lower-fma.f64`
7 276×	`lower-fma.f32`
3 296×	`lower-*.f64`
3 296×	`lower-*.f32`
2 378×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	3336
1	323	3288
2	823	3276
3	3315	3276
4	7252	3276
0	8215	3048

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

rewrite546.0ms (7.4%)

Memory

-140.3MiB live, 364.2MiB allocated

Rules

6 106×	`lower-fma.f64`
6 106×	`lower-fma.f32`
3 546×	`lower-/.f32`
3 536×	`lower-/.f64`
3 216×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	320
0	67	255
1	258	212
2	1861	194
0	8734	175

Stop Event

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

Counts

25 → 1 893

Calls

Call 1

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

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

eval430.0ms (5.8%)

Memory: 51.7MiB live, 649.2MiB allocated
Compiler: Compiled 62 554 to 4 046 computations (93.5% saved)

prune455.0ms (6.2%)

Memory

-26.8MiB live, 550.0MiB allocated

Pruning

63 alts after pruning (57 fresh and 6 done)

	Pruned	Kept	Total
New	2 890	41	2 931
Fresh	8	16	24
Picked	3	2	5
Done	0	4	4
Total	2 901	63	2 964

Accuracy

100.0%

Counts

2 964 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.7%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
✓	91.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	50.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (.f64 y (.f64 x (*.f64 y x))) y) x))
	10.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (neg.f64 (.f64 (.f64 x (.f64 y x)) (.f64 y (.f64 y (.f64 x (.f64 y x)))))) (.f64 y (.f64 x (.f64 y x)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
	22.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) #s(literal -1 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 y x))))
	28.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 y x))))) (+.f64 #s(literal 0 binary64) (.f64 y x))))
	20.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (.f64 y (.f64 x (.f64 y x)))))
	23.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y x) y) (neg.f64 x)) (+.f64 #s(literal 0 binary64) (.f64 y x))))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (+.f64 #s(literal 0 binary64) (.f64 y x))))
	29.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (neg.f64 y)) x) y))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
	1.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (.f64 x x) y)) (+.f64 #s(literal 0 binary64) (.f64 y x))))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 x (*.f64 y (neg.f64 x)))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))))
	1.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 x (.f64 y (neg.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 y (neg.f64 y))))))
	1.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 x (.f64 y (neg.f64 x)))) (.f64 (*.f64 (/.f64 x y) y) (neg.f64 y))))
	28.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 x (.f64 y (neg.f64 x)))) (.f64 y x)))
	12.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (.f64 y (.f64 y (neg.f64 y)))) (.f64 y y)))
	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y x) (.f64 x (*.f64 y x))) y)))
	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) y)))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
	36.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (.f64 y x) y)) (.f64 x (*.f64 y x)))))
	29.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 y (neg.f64 y)) x))))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 y x) y) (/.f64 (*.f64 y x) x)))))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
	51.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 y x)) (/.f64 x (*.f64 y x)))))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 y x) y) (/.f64 (*.f64 y x) x)))
	13.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (.f64 y y)) (.f64 y (.f64 y (neg.f64 y)))))
	28.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (.f64 y (neg.f64 y))))
	29.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (*.f64 y (neg.f64 y)))))
	37.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 x y) y) (neg.f64 y)))
	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 1 binary64) (.f64 y (.f64 x (*.f64 y x))))))
	28.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (neg.f64 y)))) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓	28.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
	12.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y x)) (/.f64 y (.f64 y x))))
	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))))
	4.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 (neg.f64 y) (.f64 y y)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))))
	30.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 y (neg.f64 y)) y)))
	30.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
	14.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 y y))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))))
	13.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))
✓	51.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	50.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	50.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	2.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
	2.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
	9.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (*.f64 y (neg.f64 y)) x) y)))))
	17.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x)))) #s(approx (- (* x 1/2) (* y (neg x))) (*.f64 x y)))))
	4.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 x (.f64 y x)))) #s(approx (- (* x 1/2) (* y (neg x))) (*.f64 x #s(literal 1/2 binary64))))))
	23.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))))
	9.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(approx (- (* (* x 1/2) (* x 1/2)) (* y (* x (* y x)))) (.f64 (.f64 y y) (.f64 x (-.f64 (.f64 x (/.f64 #s(literal 1/4 binary64) (.f64 y y))) x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))))
	2.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(approx (- (* (* x 1/2) (* x 1/2)) (* y (* x (* y x)))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (neg.f64 x))))))
	38.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
	12.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 1/4 binary64) x) (.f64 (.f64 y x) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))))))
	18.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
✓	3.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

Compiler

Compiled 2 337 to 800 computations (65.8% saved)

regimes84.0ms (1.1%)

Memory

-24.0MiB live, 108.3MiB allocated

Counts

84 → 1

Calls

Call 1

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

Calls

3 calls:

28.0ms	y
27.0ms	x
24.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes92.0ms (1.2%)

Memory

8.2MiB live, 83.7MiB allocated

Counts

83 → 2

Calls

Call 1

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

Calls

3 calls:

41.0ms	x
25.0ms	y
21.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.7%	2	`x`
91.6%	1	`y`
99.4%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes27.0ms (0.4%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

79 → 2

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes57.0ms (0.8%)

Memory

-0.5MiB live, 80.1MiB allocated

Counts

78 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

29.0ms	x
23.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.2%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
83.9%	2	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes25.0ms (0.3%)

Memory

9.4MiB live, 46.6MiB allocated

Counts

77 → 3

Calls

Call 1

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

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:

21.0ms

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

Results

Accuracy	Segments	Branch
99.0%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes80.0ms (1.1%)

Memory

-17.0MiB live, 136.1MiB allocated

Counts

76 → 1

Calls

Call 1

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

26.0ms	y
24.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
23.0ms	x

Results

Accuracy	Segments	Branch
51.9%	1	`x`
51.9%	1	`y`
51.9%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes5.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Accuracy

Total -1.2b remaining (-1.9%)

Threshold costs -1.2b (-1.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch12.0ms (0.2%)

Memory

-14.7MiB live, 23.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-3477035155215.752	-107460909257.0526

Samples

5.0ms

112×

valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

Precisions

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

ival-exp: 1.0ms (35.9% of total)

ival-log1p: 1.0ms (35.9% of total)

ival-mult: 1.0ms (35.9% of total)

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

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

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

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3477035155215.752	-107460909257.0526

Compiler

Compiled 140 to 95 computations (32.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	289.961911577959	1127006162513.611
0.0ms	2.3199894642719117e-39	0.6931471369086388

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	289.961911577959	1127006162513.611
0.0ms	2.3199894642719117e-39	0.6931471369086388

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	248
1	67	248
2	77	248
3	82	248
4	84	248

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -110000000000 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 -110000000000 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 6129982163463555/1532495540865888858358347027150309183618739122183602176 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 500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6129982163463555/1532495540865888858358347027150309183618739122183602176 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 500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -110000000000 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 -110000000000 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 6129982163463555/1532495540865888858358347027150309183618739122183602176 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 500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6129982163463555/1532495540865888858358347027150309183618739122183602176 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 500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

soundness981.0ms (13.3%)

Memory

-17.1MiB live, 460.1MiB allocated

Rules

11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
10 726×	`lower-fma.f64`
10 726×	`lower-fma.f32`
9 904×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	472
1	180	472
2	389	472
3	1353	472
4	4014	442
5	6856	442
0	8132	372
0	97	1830
1	282	1830
2	703	1830
3	2647	1680
4	6776	1680
0	8085	1412
0	130	2095
1	405	2020
2	965	2020
3	3314	2020
4	7015	2020
0	8123	1784

Stop Event

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

Compiler

Compiled 219 to 93 computations (57.5% saved)

preprocess66.0ms (0.9%)

Memory: 24.2MiB live, 143.8MiB allocated
Compiler: Compiled 344 to 112 computations (67.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

Iter	Nodes	Cost
0	27	145
0	40	145
1	63	145
2	81	145
3	120	145
4	175	145
5	270	145
6	429	145
7	609	145
8	766	145
9	872	145
10	906	145
11	923	145
12	925	145
0	925	135

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	27	145
0	40	145
1	63	145
2	81	145
3	120	145
4	175	145
5	270	145
6	429	145
7	609	145
8	766	145
9	872	145
10	906	145
11	923	145
12	925	145
0	925	135

start0.0ms (0%)

analyze62.0ms (0.8%)

sample1.3s (17.8%)

explain112.0ms (1.5%)

preprocess29.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.2%)

localize47.0ms (0.6%)

series82.0ms (1.1%)

simplify180.0ms (2.4%)

rewrite271.0ms (3.7%)

eval53.0ms (0.7%)

prune53.0ms (0.7%)

simplify44.0ms (0.6%)

localize64.0ms (0.9%)

series10.0ms (0.1%)

simplify163.0ms (2.2%)

rewrite260.0ms (3.5%)

eval73.0ms (1%)

prune58.0ms (0.8%)

simplify151.0ms (2%)

localize99.0ms (1.3%)

series8.0ms (0.1%)

simplify247.0ms (3.3%)

rewrite256.0ms (3.5%)

eval211.0ms (2.9%)

prune141.0ms (1.9%)

simplify134.0ms (1.8%)

localize150.0ms (2%)

series25.0ms (0.3%)

simplify206.0ms (2.8%)

rewrite546.0ms (7.4%)

eval430.0ms (5.8%)

prune455.0ms (6.2%)

regimes84.0ms (1.1%)

regimes92.0ms (1.2%)

regimes27.0ms (0.4%)

regimes57.0ms (0.8%)

regimes25.0ms (0.3%)

regimes80.0ms (1.1%)

regimes5.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness981.0ms (13.3%)

preprocess66.0ms (0.9%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	27	145
0	40	145
1	63	145
2	81	145
3	120	145
4	175	145
5	270	145
6	429	145
7	609	145
8	766	145
9	872	145
10	906	145
11	923	145
12	925	145
0	925	135