Metrics for Logistic regression 2

analyze368.0ms (3.8%)

Memory

-346.8MiB live, 149.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.3s (13.1%)

Memory

-1.5MiB live, 1 859.8MiB allocated

Samples

510.0ms	8 256×	0	valid
278.0ms	2 612×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 516.0ms

ival-log1p: 136.0ms (26.3% of total)

ival-sub: 127.0ms (24.6% of total)

ival-exp: 113.0ms (21.9% of total)

ival-mult: 89.0ms (17.2% of total)

adjust: 39.0ms (7.6% of total)

ival-true: 8.0ms (1.5% of total)

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

Bogosity

preprocess44.0ms (0.5%)

Memory

-36.1MiB live, 39.8MiB 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))

explain132.0ms (1.4%)

Memory

24.2MiB live, 137.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
4	79	(-1.2700751972101617e+26 1.2400715202844529e+159)	-	`(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	80	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	3	0
↳	`(exp.f64 x)`	overflow	3
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	3

Confusion

	Predicted +	Predicted -
+	3	0
-	80	173

Precision

0.03614457831325301

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	80	0	173

Precision?

0.03614457831325301

Recall?

1.0

Freqs

test

number	freq
0	173
1	83

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 22.0ms (58.2% of total)

ival-log1p: 6.0ms (15.9% of total)

ival-exp: 4.0ms (10.6% of total)

ival-add: 3.0ms (7.9% of total)

ival-sub: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify13.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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

localize38.0ms (0.4%)

Memory

-12.5MiB live, 29.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	98.5%	(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-log1p: 3.0ms (28.3% of total)

ival-mult: 3.0ms (28.3% of total)

ival-exp: 2.0ms (18.9% of total)

ival-sub: 1.0ms (9.4% of total)

ival-add: 1.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

series73.0ms (0.8%)

Memory

-12.7MiB live, 62.4MiB allocated

Counts

4 → 60

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)>

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)>

Calls

15 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(log (+ 1 (exp x)))
29.0ms	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))

simplify397.0ms (4.1%)

Memory

30.4MiB live, 381.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite487.0ms (5.1%)

Memory

-22.6MiB live, 496.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 359

Calls

Call 1

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

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
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(.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))

eval52.0ms (0.5%)

Memory: 0.2MiB live, 113.5MiB allocated
Compiler: Compiled 15 107 to 1 438 computations (90.5% saved)

prune56.0ms (0.6%)

Memory

19.2MiB live, 112.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

99.4%

Counts

420 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
▶	91.8%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	94.4%	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
	61.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) #s(literal -1 binary64)))
	77.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
	82.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
▶	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
▶	51.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 228 to 138 computations (39.5% saved)

simplify235.0ms (2.4%)

Memory

-4.9MiB live, 421.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x)))
✓	cost-diff	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x 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))
✓	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	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(fma.f64 x y (log1p.f64 (exp.f64 x)))
✓	cost-diff	320	(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
✓	cost-diff	27392	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))))

Rules

9 196×	`lower-fma.f32`
9 194×	`lower-fma.f64`
3 516×	`lower-*.f32`
3 508×	`lower-*.f64`
2 354×	`lower-neg.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	177
0	44	193
1	70	187
2	118	159
3	337	159
4	1440	159
5	3879	159
0	8308	159

Stop Event

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

Calls

Call 1

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

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

localize90.0ms (0.9%)

Memory

-11.5MiB live, 191.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	98.8%	(log1p.f64 (exp.f64 x))
✓	accuracy	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
✓	accuracy	98.5%	(log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x)))
✓	accuracy	67.3%	#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
✓	accuracy	98.5%	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
✓	accuracy	72.1%	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓	accuracy	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))
✓	accuracy	98.8%	(log1p.f64 (exp.f64 x))
✓	accuracy	95.2%	(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))))

Samples

58.0ms

256×

valid

Compiler

Compiled 181 to 18 computations (90.1% saved)

Precisions

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

ival-mult: 20.0ms (59.3% of total)

ival-add: 4.0ms (11.9% of total)

ival-log1p: 3.0ms (8.9% of total)

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

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

ival-sub: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-2.7MiB live, 36.3MiB allocated

Counts

19 → 360

Calls

Call 1

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

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 1>
#<alt (+ 1 (* x (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))))>
#<alt (+ 1 (* x (- (* x (- (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ 1 (log 2))) (/ (* (+ 1/2 y) (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))) (log 2))))) (* 2 (/ y (log 2))))))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* 1/8 (/ (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2))))) (log 2))) (/ (* (+ 1/2 y) (- (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ 1 (log 2))) (/ (* (+ 1/2 y) (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))) (log 2))))) (log 2))))) (/ (* (+ 1/2 y) (- (* 1/2 (/ 1 (log 2))) (+ (* 1/2 (/ 1 (log 2))) (* 2 (/ y (log 2)))))) (log 2)))) (* 2 (/ y (log 2))))))>
#<alt -1>
#<alt (- (/ (log (+ 1 (exp x))) (* x y)) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))>
#<alt (- (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) y) (* -1 (/ (log (+ 1 (exp x))) y)))) (* (pow x 2) y))) (/ (log (+ 1 (exp x))) (* x y))) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))>
#<alt (- (+ (/ (log (+ 1 (exp x))) (* x y)) (/ (* (pow (log (+ 1 (exp x))) 2) (- (/ (log (+ 1 (exp x))) y) (* -1 (/ (log (+ 1 (exp x))) y)))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (* -1 (/ (log (+ 1 (exp x))) (* x y))) (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) y) (* -1 (/ (log (+ 1 (exp x))) y)))) (* (pow x 2) y)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y)) x)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y))) (* x y)))) (/ (log (+ 1 (exp x))) y)) x)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp x))) 2) (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y))) (* x (pow y 2)))) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) y)) (/ (log (+ 1 (exp x))) y))) y))) x))) (/ (log (+ 1 (exp x))) y)) x)) 1)>
#<alt 1>
#<alt (+ 1 (* y (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x)))))))>
#<alt (+ 1 (* y (- (+ (* -1 (/ x (log (+ 1 (exp x))))) (* -1 (/ (* x (* y (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x))))))) (log (+ 1 (exp x)))))) (/ x (log (+ 1 (exp x)))))))>
#<alt (+ 1 (* y (- (+ (* -1 (/ x (log (+ 1 (exp x))))) (* y (- (/ (* (pow x 2) (* y (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x))))))) (pow (log (+ 1 (exp x))) 2)) (/ (* x (- (* -1 (/ x (log (+ 1 (exp x))))) (/ x (log (+ 1 (exp x)))))) (log (+ 1 (exp x))))))) (/ x (log (+ 1 (exp x)))))))>
#<alt -1>
#<alt (- (/ (log (+ 1 (exp x))) (* x y)) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))>
#<alt (- (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) x) (* -1 (/ (log (+ 1 (exp x))) x)))) (* x (pow y 2)))) (/ (log (+ 1 (exp x))) (* x y))) (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))>
#<alt (- (+ (/ (log (+ 1 (exp x))) (* x y)) (/ (* (pow (log (+ 1 (exp x))) 2) (- (/ (log (+ 1 (exp x))) x) (* -1 (/ (log (+ 1 (exp x))) x)))) (* (pow x 2) (pow y 3)))) (+ 1 (+ (* -1 (/ (log (+ 1 (exp x))) (* x y))) (/ (* (log (+ 1 (exp x))) (- (/ (log (+ 1 (exp x))) x) (* -1 (/ (log (+ 1 (exp x))) x)))) (* x (pow y 2))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x)) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) (* x y)))) (/ (log (+ 1 (exp x))) x)) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 (/ (- (* -1 (/ (* (pow (log (+ 1 (exp x))) 2) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) (* (pow x 2) y))) (* -1 (/ (* (log (+ 1 (exp x))) (- (* -1 (/ (log (+ 1 (exp x))) x)) (/ (log (+ 1 (exp x))) x))) x))) y))) (/ (log (+ 1 (exp x))) x)) y)) 1)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (+ 1/2 y)))>
#<alt (+ (log 2) (* x (+ 1/2 (+ y (* 1/8 x)))))>
#<alt (+ (log 2) (* x (+ 1/2 (+ y (* x (+ 1/8 (* -1/192 (pow x 2))))))))>
#<alt (* x y)>
#<alt (* x (+ y (/ (log (+ 1 (exp x))) x)))>
#<alt (* x (+ y (/ (log (+ 1 (exp x))) x)))>
#<alt (* x (+ y (/ (log (+ 1 (exp x))) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* x y))>
#<alt (+ (log (+ 1 (exp x))) (* x y))>
#<alt (+ (log (+ 1 (exp x))) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ (log (+ 1 (exp x))) y)))>
#<alt (* y (+ x (/ (log (+ 1 (exp x))) y)))>
#<alt (* y (+ x (/ (log (+ 1 (exp x))) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) 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 (* -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) (* 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 (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 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 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 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 (/ 1 (log 2))>
#<alt (+ (* -1 (* x (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2)))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 y) (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2))))) (log 2))) (* -1/8 (/ (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))) (log 2)))))) (+ (* -1 (/ (* (+ 1/2 y) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2)))) (log 2))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/2 (/ 1 (pow (log 2) 2))) (/ y (pow (log 2) 2))))) (/ 1 (log 2)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -1 (/ (log (+ 1 (exp x))) (* x (pow y 2)))) (/ 1 y)) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) (pow y 3)))) (/ (log (+ 1 (exp x))) (* x (pow y 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) (pow y 3)))) (/ (log (+ 1 (exp x))) (* x (pow y 2))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ (log (+ 1 (exp x))) (* x (pow y 2))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 3))) (/ (log (+ 1 (exp x))) (pow y 2))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 4))) (/ (pow (log (+ 1 (exp x))) 2) (pow y 3))) x)) (/ (log (+ 1 (exp x))) (pow y 2))) x)) (/ 1 y)) x))>
#<alt (/ 1 (log (+ 1 (exp x))))>
#<alt (+ (* -1 (/ (* x y) (pow (log (+ 1 (exp x))) 2))) (/ 1 (log (+ 1 (exp x)))))>
#<alt (+ (* y (- (/ (* (pow x 2) y) (pow (log (+ 1 (exp x))) 3)) (/ x (pow (log (+ 1 (exp x))) 2)))) (/ 1 (log (+ 1 (exp x)))))>
#<alt (+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow (log (+ 1 (exp x))) 4))) (* -1 (/ (pow x 2) (pow (log (+ 1 (exp x))) 3))))) (/ x (pow (log (+ 1 (exp x))) 2)))) (/ 1 (log (+ 1 (exp x)))))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -1 (/ (log (+ 1 (exp x))) (* (pow x 2) y))) (/ 1 x)) y)>
#<alt (/ (- (+ (/ 1 x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) (pow y 2)))) (/ (log (+ 1 (exp x))) (* (pow x 2) y))) y)>
#<alt (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) (pow y 2)))) (/ (log (+ 1 (exp x))) (* (pow x 2) y)))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ (log (+ 1 (exp x))) (* (pow x 2) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 3) y)) (/ (log (+ 1 (exp x))) (pow x 2))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 4) y)) (/ (pow (log (+ 1 (exp x))) 2) (pow x 3))) y)) (/ (log (+ 1 (exp x))) (pow x 2))) y)) (/ 1 x)) y))>
#<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

90 calls:

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

simplify316.0ms (3.3%)

Memory

19.4MiB live, 707.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 938×	`lower-fma.f64`
6 938×	`lower-fma.f32`
5 506×	`lower-*.f64`
5 506×	`lower-*.f32`
2 818×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	368	3822
1	1198	3553
2	3874	3438
0	8712	2899

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 358

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

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

rewrite509.0ms (5.3%)

Memory

7.8MiB live, 670.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 586×	`lower-fma.f32`
9 584×	`lower-fma.f64`
5 786×	`lower-*.f32`
5 778×	`lower-*.f64`
3 862×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	154
0	44	164
1	145	136
2	993	136
0	9167	136

Stop Event

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

Counts

19 → 982

Calls

Call 1

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

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

eval242.0ms (2.5%)

Memory: 20.8MiB live, 433.9MiB allocated
Compiler: Compiled 57 015 to 3 222 computations (94.3% saved)

prune175.0ms (1.8%)

Memory

-1.7MiB live, 376.7MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 615	13	1 628
Fresh	4	0	4
Picked	2	3	5
Done	0	0	0
Total	1 621	16	1 637

Accuracy

99.4%

Counts

1 637 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
✓	91.8%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	94.5%	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
▶	7.6%	#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 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
	24.0%	#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))))
▶	11.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64))))
▶	25.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
	27.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y))))))
▶	98.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
	14.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))))
	27.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))
✓	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	51.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	54.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
▶	52.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 411 to 231 computations (43.8% saved)

simplify159.0ms (1.7%)

Memory

4.2MiB live, 272.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
✓	cost-diff	64	(fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y)))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (.f64 x y))))
✓	cost-diff	640	(.f64 #s(literal 0 binary64) (.f64 x y))
✓	cost-diff	2944	(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
✓	cost-diff	0	(.f64 x (neg.f64 (.f64 y (*.f64 y y))))
✓	cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64))))
✓	cost-diff	64	(fma.f64 y y #s(literal 0 binary64))
✓	cost-diff	1664	(/.f64 (.f64 x (neg.f64 (.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 (neg.f64 (.f64 y y)))
✓	cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
✓	cost-diff	1024	(/.f64 (.f64 x (neg.f64 (.f64 y y))) y)
✓	cost-diff	0	(/.f64 (log1p.f64 (exp.f64 x)) x)
✓	cost-diff	0	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
✓	cost-diff	0	(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
✓	cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))

Rules

3 792×	`lower-/.f32`
3 784×	`lower-/.f64`
2 536×	`lower-*.f32`
2 516×	`lower-*.f64`
2 342×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	316
0	72	251
1	141	249
2	329	219
3	1524	215
4	5055	215
0	8128	215

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (1.7%)

Memory

3.5MiB live, 171.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	accuracy	67.9%	#s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
✓	accuracy	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
✓	accuracy	95.4%	(.f64 #s(literal 0 binary64) (.f64 x y))
✓	accuracy	90.3%	(.f64 x (.f64 y y))
✓	accuracy	49.1%	#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 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
✓	accuracy	30.6%	(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	87.8%	(.f64 x (neg.f64 (.f64 y (*.f64 y y))))
✓	accuracy	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64))))
✓	accuracy	44.3%	(/.f64 (.f64 x (neg.f64 (.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
✓	accuracy	100.0%	(neg.f64 (*.f64 y y))
✓	accuracy	90.3%	(.f64 x (neg.f64 (.f64 y y)))
✓	accuracy	76.6%	(/.f64 (.f64 x (neg.f64 (.f64 y y))) y)
✓	accuracy	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
✓	accuracy	100.0%	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
✓	accuracy	99.8%	(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
✓	accuracy	99.8%	(/.f64 (log1p.f64 (exp.f64 x)) x)
✓	accuracy	98.8%	(log1p.f64 (exp.f64 x))

Samples

72.0ms

256×

valid

Compiler

Compiled 267 to 36 computations (86.5% saved)

Precisions

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

ival-mult: 26.0ms (51.5% of total)

ival-div: 6.0ms (11.9% of total)

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

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory

6.4MiB live, 45.9MiB allocated

Counts

24 → 468

Calls

Call 1

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

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) (* 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 (+ (* -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 (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) x)>
#<alt (/ (+ (log 2) (* x (- 1/2 y))) x)>
#<alt (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)>
#<alt (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)>
#<alt (* -1 y)>
#<alt (- (/ (log (+ 1 (exp x))) x) y)>
#<alt (- (/ (log (+ 1 (exp x))) x) y)>
#<alt (- (/ (log (+ 1 (exp x))) x) y)>
#<alt (* -1 y)>
#<alt (- (/ (log (+ 1 (exp x))) x) y)>
#<alt (- (/ (log (+ 1 (exp x))) x) y)>
#<alt (- (/ (log (+ 1 (exp x))) x) y)>
#<alt (/ (log (+ 1 (exp x))) x)>
#<alt (+ (* -1 y) (/ (log (+ 1 (exp x))) x))>
#<alt (+ (* -1 y) (/ (log (+ 1 (exp x))) x))>
#<alt (+ (* -1 y) (/ (log (+ 1 (exp x))) x))>
#<alt (* -1 y)>
#<alt (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))>
#<alt (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))>
#<alt (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))>
#<alt (/ (log 2) x)>
#<alt (/ (+ (log 2) (* 1/2 x)) x)>
#<alt (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x)>
#<alt (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) x)>
#<alt (/ (log (+ 1 (exp x))) x)>
#<alt (/ (log (+ 1 (exp x))) x)>
#<alt (/ (log (+ 1 (exp x))) x)>
#<alt (/ (log (+ 1 (exp x))) x)>
#<alt (/ (log (+ 1 (exp x))) x)>
#<alt (/ (log (+ 1 (exp x))) x)>
#<alt (/ (log (+ 1 (exp x))) x)>
#<alt (/ (log (+ 1 (exp x))) 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 (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (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 (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 (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 (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<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 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (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 (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) (* 1/2 x))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (log 2) x)))>
#<alt (* x (+ 1/2 (/ (log 2) x)))>
#<alt (* x (+ 1/2 (/ (log 2) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))>
#<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 (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<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 (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>

Calls

117 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(/ (log (+ 1 (exp x))) x)
5.0ms	x	@	-inf	(/ (log (+ 1 (exp x))) x)
3.0ms	x	@	0	(+ (* x 1/2) (log 2))
1.0ms	x	@	0	(* x (neg (* y (* y y))))
1.0ms	x	@	0	(* x (neg (* y y)))

simplify488.0ms (5.1%)

Memory

28.2MiB live, 442.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 510×	`lower-fma.f64`
12 510×	`lower-fma.f32`
2 336×	`lower-*.f64`
2 336×	`lower-*.f32`
1 990×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	3038
1	263	3038
2	603	3038
3	2027	2858
4	5133	2858
5	7566	2858
0	8115	2517

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

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

rewrite585.0ms (6.1%)

Memory

-16.7MiB live, 519.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 088×	`lower-fma.f32`
5 082×	`lower-fma.f64`
4 614×	`lower-/.f32`
4 606×	`lower-/.f64`
3 824×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	257
0	72	190
1	256	184
2	1941	160
0	8448	160

Stop Event

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

Counts

24 → 994

Calls

Call 1

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

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

eval213.0ms (2.2%)

Memory: -15.0MiB live, 326.7MiB allocated
Compiler: Compiled 31 750 to 2 444 computations (92.3% saved)

prune150.0ms (1.6%)

Memory

-0.0MiB live, 361.2MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 439	23	1 462
Fresh	2	6	8
Picked	3	2	5
Done	0	3	3
Total	1 444	34	1 478

Accuracy

99.4%

Counts

1 478 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
✓	91.8%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	98.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) x (*.f64 x (neg.f64 y))))
▶	17.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y y)) y) (neg.f64 (.f64 y y))))
	32.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (neg.f64 y)) y) y))
	5.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
	9.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 (.f64 x x) y) y)))
▶	7.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 x (.f64 y y)) x)))
	13.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 x (.f64 x y)) y)))
	24.0%	#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))))
	11.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (/.f64 (.f64 y (.f64 y (.f64 y y))) (neg.f64 (*.f64 y y)))) y))
	5.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y))))) (fma.f64 y y #s(literal 0 binary64))))
	4.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)) (.f64 (neg.f64 (.f64 y y)) #s(literal 0 binary64))) (.f64 (neg.f64 (.f64 y y)) (*.f64 y y)))))
	5.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y (.f64 y y)))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y))))))
✓	25.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
	17.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* x (neg (* y (* y y)))) (.f64 y (.f64 y (*.f64 x (neg.f64 y))))) (fma.f64 y y #s(literal 0 binary64))))
	49.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
▶	6.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x (neg.f64 y))))) (neg.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))) (.f64 y (.f64 x (.f64 x (neg.f64 y))))))
	3.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) y)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y y)))))
	8.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) y)) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)))
	7.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x (neg.f64 y)))))))
	25.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))
	10.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 x (.f64 y y))))
	22.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 y y)) (/.f64 x y)))
	27.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y))))))
	91.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y)))
	27.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))
✓	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	51.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	54.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
✓	52.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
	51.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
▶	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x 1/2) (log 2)) (*.f64 x #s(literal 1/2 binary64)))))

Compiler

Compiled 1 189 to 579 computations (51.3% saved)

simplify121.0ms (1.3%)

Memory

-20.3MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x (neg.f64 y)))))
✓	cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x (neg.f64 y))))) (neg.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))) (.f64 y (.f64 x (.f64 x (neg.f64 y))))))
✓	cost-diff	1984	(.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x (neg.f64 y))))) (neg.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))) (.f64 y (.f64 x (.f64 x (neg.f64 y)))))
✓	cost-diff	3776	(/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x (neg.f64 y))))) (neg.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) (.f64 (.f64 x y) (*.f64 x (neg.f64 y))))
✓	cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 x (.f64 y y)) x)))
✓	cost-diff	2944	(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 x (.f64 y y)) x))
✓	cost-diff	0	(.f64 x (.f64 y y))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 y y)) y)
✓	cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y y)) y) (neg.f64 (.f64 y y))))
✓	cost-diff	1664	(/.f64 (.f64 (.f64 x (.f64 y y)) y) (neg.f64 (.f64 y y)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* x 1/2) (log 2)) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	#s(approx (log (+ 1 (exp x))) #s(approx (+ (* x 1/2) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x 1/2) (log 2)) (*.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(/.f64 (log1p.f64 (exp.f64 x)) x)
✓	cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) x (*.f64 x (neg.f64 y))))
✓	cost-diff	1024	(fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) x (*.f64 x (neg.f64 y)))

Rules

3 440×	`lower-*.f32`
3 410×	`lower-*.f64`
3 028×	`lower-/.f32`
3 020×	`lower-/.f64`
1 624×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	455
0	74	359
1	160	358
2	751	302
3	4457	275
0	8289	272

Stop Event

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

Calls

Call 1

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

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

localize206.0ms (2.2%)

Memory

29.0MiB live, 187.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.3%	(.f64 x (.f64 y y))
✓	accuracy	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x (neg.f64 y))))) (neg.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))) (.f64 y (.f64 x (.f64 x (neg.f64 y))))))
✓	accuracy	45.3%	(.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x (neg.f64 y))))) (neg.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))) (.f64 y (.f64 x (.f64 x (neg.f64 y)))))
✓	accuracy	26.3%	(/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x (neg.f64 y))))) (neg.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))))
✓	accuracy	96.5%	(.f64 (.f64 x (*.f64 y y)) x)
✓	accuracy	90.3%	(.f64 x (.f64 y y))
✓	accuracy	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 x (.f64 y y)) x)))
✓	accuracy	30.6%	(/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 x (.f64 y y)) x))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 y y)) y)
✓	accuracy	90.3%	(.f64 x (.f64 y y))
✓	accuracy	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (.f64 y y)) y) (neg.f64 (.f64 y y))))
✓	accuracy	44.3%	(/.f64 (.f64 (.f64 x (.f64 y y)) y) (neg.f64 (.f64 y y)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	67.9%	#s(approx (log (+ 1 (exp x))) #s(approx (+ (* x 1/2) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x 1/2) (log 2)) (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	33.6%	#s(approx (+ (* x 1/2) (log 2)) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) x (*.f64 x (neg.f64 y))))
✓	accuracy	99.8%	(fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) x (*.f64 x (neg.f64 y)))
✓	accuracy	99.8%	(/.f64 (log1p.f64 (exp.f64 x)) x)
✓	accuracy	98.8%	(log1p.f64 (exp.f64 x))

Samples

75.0ms

256×

valid

Compiler

Compiled 361 to 36 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 26.0ms (54.2% of total)

ival-div: 6.0ms (12.5% of total)

ival-exp: 3.0ms (6.3% of total)

ival-log: 3.0ms (6.3% of total)

ival-log1p: 3.0ms (6.3% of total)

ival-neg: 3.0ms (6.3% of total)

ival-add: 2.0ms (4.2% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory

5.7MiB live, 46.4MiB allocated

Counts

21 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(/ (* (* x y) (* y (* x (* x (neg y))))) (neg (* x (* (* x (* y y)) (* x (* x (* y y)))))))
3.0ms	y	@	inf	(* (* x y) (* (* x y) (* x (neg y))))
1.0ms	y	@	0	(* (* x y) (* (* x y) (* x (neg y))))
1.0ms	x	@	0	(* (* x y) (* (* x y) (* x (neg y))))
0.0ms	x	@	inf	(* (* x y) (* (* x y) (* x (neg y))))

simplify296.0ms (3.1%)

Memory

-9.8MiB live, 505.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 324×	`lower-fma.f64`
10 324×	`lower-fma.f32`
2 972×	`lower-*.f64`
2 972×	`lower-*.f32`
1 882×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	2972
1	274	2972
2	596	2972
3	2036	2696
4	5607	2694
0	8115	2392

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

rewrite262.0ms (2.7%)

Memory

-2.7MiB live, 575.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 264×	`lower-*.f32`
3 234×	`lower-*.f64`
3 204×	`lower-/.f32`
3 196×	`lower-/.f64`
2 982×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	326
0	74	267
1	243	219
2	1864	154
0	9313	144

Stop Event

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

Counts

21 → 1 313

Calls

Call 1

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

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

eval319.0ms (3.3%)

Memory: 19.0MiB live, 592.7MiB allocated
Compiler: Compiled 62 967 to 3 554 computations (94.4% saved)

prune344.0ms (3.6%)

Memory

-19.8MiB live, 663.0MiB allocated

Pruning

78 alts after pruning (71 fresh and 7 done)

	Pruned	Kept	Total
New	2 300	53	2 353
Fresh	6	18	24
Picked	3	2	5
Done	0	5	5
Total	2 309	78	2 387

Accuracy

99.4%

Counts

2 387 → 78

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
✓	91.8%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	91.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) x (*.f64 x (neg.f64 y))))
	82.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (/ (log (+ 1 (exp x))) x) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) x (*.f64 x (neg.f64 y))))
	17.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (.f64 x (.f64 y (*.f64 y y))) y) (neg.f64 y)))
	1.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) (neg.f64 x)) y) (neg.f64 (*.f64 y y))))
	8.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (/.f64 (.f64 x y) (.f64 y y)) (.f64 (.f64 x y) (.f64 x y))) (*.f64 x (neg.f64 x))))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x y) (.f64 x y))) x))
	7.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x y) (.f64 x y))) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 x (.f64 y y)) x)))
	12.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 #s(literal 1 binary64) x)) y) (neg.f64 (.f64 y y))))
	1.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 #s(literal -1 binary64) x)) y) (neg.f64 (.f64 y y))))
	1.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x y)) (.f64 (.f64 x (.f64 y y)) x)))
	1.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 x y) (neg.f64 y)) y) (neg.f64 (.f64 y y))))
	17.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (.f64 x y) y) y) (neg.f64 (.f64 y y))))
	0.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 y y)) x)))
	32.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x (neg.f64 y)) y) y))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (/.f64 (.f64 y (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 y y) (neg.f64 x))) (.f64 x (neg.f64 y)))) (.f64 (.f64 x (*.f64 y y)) x)))
	7.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) x)))
	1.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 #s(literal -1 binary64) x)) x)))
	5.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
	9.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 (.f64 x x) y) y)))
	13.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 x (.f64 x y)) y)))
	0.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x (neg.f64 y)))) (.f64 (.f64 x x) (.f64 y (neg.f64 y)))))
	24.0%	#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))))
	1.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x y)))
	10.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 y y) (neg.f64 x))))
	1.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y (.f64 (.f64 x y) (.f64 x y))) (.f64 x (.f64 y y))))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 y #s(literal 1 binary64)) (/.f64 y (.f64 x y))))
	11.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (/.f64 (.f64 y (.f64 y (.f64 y y))) (neg.f64 (*.f64 y y)))) y))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 x y) (.f64 x y)))) (.f64 y (.f64 (.f64 x y) (.f64 x y)))))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (.f64 y y)) y))
	39.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (.f64 x y)) (neg.f64 x)))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (.f64 x y)) x))
	5.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) y))))) (fma.f64 y y #s(literal 0 binary64))))
	4.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)) (.f64 (neg.f64 (.f64 y y)) #s(literal 0 binary64))) (.f64 (neg.f64 (.f64 y y)) (*.f64 y y)))))
	5.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y (.f64 y y)))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y))))))
✓	25.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 x (neg.f64 (.f64 y y))) y))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
	49.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
	0.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x y)) (neg.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))) (.f64 y (.f64 x (.f64 x (neg.f64 y))))))
	0.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 y (neg.f64 y)) y) (.f64 y (.f64 x (.f64 y (.f64 y y))))) (.f64 y (.f64 x (.f64 x (neg.f64 y))))))
	5.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 y y) (.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x x)))) (.f64 y (.f64 x (.f64 x (neg.f64 y))))))
✓	6.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x (neg.f64 y))))) (neg.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))) (.f64 y (.f64 x (.f64 x (neg.f64 y))))))
	1.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 y y))) y))
	8.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 x (.f64 y y)) (.f64 y (.f64 (.f64 x y) (.f64 x y)))) (.f64 y (.f64 x (.f64 x (neg.f64 y))))))
	3.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) y)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y y)))))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 y (.f64 x y)) (.f64 x (.f64 x y))))
	1.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (.f64 x (.f64 y y))) (/.f64 (.f64 y (.f64 (.f64 x y) (*.f64 x y))) x)))
	20.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x (neg.f64 y))))))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 x y) (/.f64 (.f64 y (*.f64 y y)) y)))
	21.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 y (.f64 x (*.f64 x (neg.f64 y))))))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (*.f64 y y))))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x y))))
	25.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x (*.f64 y y))))
	1.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 y (.f64 x y)) (.f64 x y)) x))
	19.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (.f64 x y))) (.f64 x y)) (.f64 y (.f64 x (*.f64 x (neg.f64 y))))))
	33.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 x (*.f64 x y))) (neg.f64 y)))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 x (*.f64 x y))) y))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) x) (.f64 x (*.f64 y y))))
	6.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (.f64 x (.f64 y y)) (/.f64 x (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))) (.f64 y (.f64 x (.f64 x (neg.f64 y))))))
	0.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x x)))) (.f64 (.f64 x y) (*.f64 x y)))))
	22.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 y y) (/.f64 x (neg.f64 y))))
	1.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (.f64 y y)) (/.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x y)))))
	39.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
	10.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 x (.f64 y y))))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (/.f64 (.f64 x (.f64 x y)) (.f64 x y))))
	2.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
	0.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 x y) (.f64 x y)))) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
	27.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y))))))
	91.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) x) y)))
	27.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))
✓	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
	51.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	54.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
✓	52.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
	51.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
✓	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x 1/2) (log 2)) (*.f64 x #s(literal 1/2 binary64)))))

Compiler

Compiled 3 170 to 990 computations (68.8% saved)

regimes95.0ms (1%)

Memory

18.7MiB live, 216.1MiB allocated

Counts

99 → 1

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
29.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
29.0ms	y

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes89.0ms (0.9%)

Memory

6.4MiB live, 162.9MiB allocated

Counts

92 → 2

Calls

Call 1

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

Calls

3 calls:

30.0ms	y
28.0ms	x
26.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.3%	2	`x`
91.8%	1	`y`
98.0%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes38.0ms (0.4%)

Memory

-19.5MiB live, 55.0MiB allocated

Counts

87 → 2

Calls

Call 1

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

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes47.0ms (0.5%)

Memory

6.0MiB live, 42.9MiB allocated

Counts

84 → 2

Calls

Call 1

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

23.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes59.0ms (0.6%)

Memory

-12.0MiB live, 77.3MiB allocated

Counts

83 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

30.0ms	x
21.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
97.5%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
84.3%	3	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes28.0ms (0.3%)

Memory

19.9MiB live, 56.6MiB allocated

Counts

82 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

23.0ms

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

Results

Accuracy	Segments	Branch
97.5%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes31.0ms (0.3%)

Memory

-18.4MiB live, 62.8MiB allocated

Counts

81 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

22.0ms

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes75.0ms (0.8%)

Memory

35.7MiB live, 192.5MiB allocated

Counts

79 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
24.0ms	y
21.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
49.1%	1	`x`
49.1%	1	`y`
49.1%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

-24.0MiB live, 12.8MiB allocated

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1b (-1.6%)

Counts

2 → 1

Calls

Call 1

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

Calls

3 calls:

3.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
2.0ms	x
2.0ms	y

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch13.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1293231.2583387028	-679.6198744960249

Samples

7.0ms

128×

valid

Compiler

Compiled 190 to 131 computations (31.1% saved)

Precisions

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

ival-exp: 2.0ms (49.6% of total)

ival-sub: 1.0ms (24.8% of total)

ival-log1p: 1.0ms (24.8% of total)

ival-mult: 1.0ms (24.8% of total)

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

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

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1293231.2583387028	-679.6198744960249

Compiler

Compiled 166 to 115 computations (30.7% saved)

bsearch1.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1293231.2583387028	-679.6198744960249

Compiler

Compiled 158 to 107 computations (32.3% saved)

bsearch3.0ms (0%)

Memory

-34.0MiB live, 2.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6941933750899237	171664255.33411694
0.0ms	0.07578692630139369	0.6927832687683079

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6941933750899237	171664255.33411694
0.0ms	0.07578692630139369	0.6927832687683079

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6941933750899237	171664255.33411694
0.0ms	0.07578692630139369	0.6927832687683079

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify36.0ms (0.4%)

Memory

0.1MiB live, 76.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`-commutative-binary64-.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	357
1	80	357
2	91	357
3	96	357
4	98	357

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 -700 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -700 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 -700 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 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 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 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 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 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 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 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 (log (+ 1 (exp x))) #s(approx (+ (* x 1/2) (log 2)) (*.f64 x #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 -700 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -700 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 x y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -700 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 -700 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 x y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -700 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 x #s(literal -700 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (.f64 x y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 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 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (neg.f64 (.f64 x y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 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 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (neg.f64 (.f64 x y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 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 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (neg.f64 (.f64 x y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) #s(approx (+ (* x 1/2) (log 2)) (*.f64 x #s(literal 1/2 binary64)))))

soundness1.1s (11.5%)

Memory

4.1MiB live, 549.8MiB allocated

Rules

12 510×	`lower-fma.f64`
12 510×	`lower-fma.f32`
11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
6 938×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	3038
1	263	3038
2	603	3038
3	2027	2858
4	5133	2858
5	7566	2858
0	8115	2517
0	67	400
1	180	400
2	389	400
3	1353	400
4	4014	370
5	6856	370
0	8132	300
0	368	3822
1	1198	3553
2	3874	3438
0	8712	2899

Stop Event

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

Compiler

Compiled 291 to 111 computations (61.9% saved)

preprocess78.0ms (0.8%)

Memory: -13.3MiB live, 139.5MiB allocated
Compiler: Compiled 464 to 126 computations (72.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

analyze368.0ms (3.8%)

sample1.3s (13.1%)

preprocess44.0ms (0.5%)

explain132.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize38.0ms (0.4%)

series73.0ms (0.8%)

simplify397.0ms (4.1%)

rewrite487.0ms (5.1%)

eval52.0ms (0.5%)

prune56.0ms (0.6%)

simplify235.0ms (2.4%)

localize90.0ms (0.9%)

series17.0ms (0.2%)

simplify316.0ms (3.3%)

rewrite509.0ms (5.3%)

eval242.0ms (2.5%)

prune175.0ms (1.8%)

simplify159.0ms (1.7%)

localize165.0ms (1.7%)

series53.0ms (0.6%)

simplify488.0ms (5.1%)

rewrite585.0ms (6.1%)

eval213.0ms (2.2%)

prune150.0ms (1.6%)

simplify121.0ms (1.3%)

localize206.0ms (2.2%)

series32.0ms (0.3%)

simplify296.0ms (3.1%)

rewrite262.0ms (2.7%)

eval319.0ms (3.3%)

prune344.0ms (3.6%)

regimes95.0ms (1%)

regimes89.0ms (0.9%)

regimes38.0ms (0.4%)

regimes47.0ms (0.5%)

regimes59.0ms (0.6%)

regimes28.0ms (0.3%)

regimes31.0ms (0.3%)

regimes75.0ms (0.8%)

regimes7.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify36.0ms (0.4%)

soundness1.1s (11.5%)

preprocess78.0ms (0.8%)

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