Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze106.0ms (1%)

Memory

34.1MiB live, 101.8MiB 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)

sample2.7s (24.9%)

Memory

-18.1MiB live, 1 672.1MiB allocated

Samples

2.0s	8 256×	0	valid
235.0ms	2 597×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 1.1s (70.8% of total)

ival-exp: 209.0ms (13% of total)

ival-log1p: 144.0ms (9% of total)

adjust: 57.0ms (3.6% of total)

ival-sub: 48.0ms (3% of total)

ival-true: 8.0ms (0.5% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain106.0ms (1%)

Memory

19.8MiB live, 176.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	86	(-4.367822212026097e+19 6.835234904576494e-231)	-	`(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	86	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	2	0
↳	`(exp.f64 x)`	overflow	2
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	2	0
-	86	168

Precision

0.022727272727272728

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	86	0	168

Precision?

0.022727272727272728

Recall?

1.0

Freqs

test

number	freq
0	168
1	88

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 67 to 28 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-exp: 10.0ms (40.5% of total)

ival-log1p: 5.0ms (20.2% of total)

ival-mult: 4.0ms (16.2% of total)

ival-sub: 2.0ms (8.1% of total)

ival-add: 2.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess33.0ms (0.3%)

Memory

3.7MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify53.0ms (0.5%)

Memory

-23.5MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.2%)

Memory

31.1MiB live, 31.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(exp.f64 x)
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.4919825635220164	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

16.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log1p: 3.0ms (33.9% of total)

ival-exp: 2.0ms (22.6% of total)

ival-mult: 2.0ms (22.6% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series250.0ms (2.3%)

Memory

-22.3MiB live, 109.7MiB allocated

Counts

5 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
212.0ms	x	@	inf	(log (+ 1 (exp x)))
25.0ms	x	@	-inf	(log (+ 1 (exp x)))
3.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
1.0ms	x	@	-inf	(- (log (+ 1 (exp x))) (* x y))
1.0ms	y	@	inf	(- (log (+ 1 (exp x))) (* x y))

simplify279.0ms (2.6%)

Memory

12.8MiB live, 443.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite498.0ms (4.6%)

Memory

9.7MiB live, 561.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 368

Calls

Call 1

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

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

eval65.0ms (0.6%)

Memory: -7.9MiB live, 145.5MiB allocated
Compiler: Compiled 15 452 to 1 462 computations (90.5% saved)

prune101.0ms (0.9%)

Memory

12.0MiB live, 205.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

453 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.9%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	71.6%	#s(approx (- (log (+ 1 (exp x))) (* x 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))))
▶	76.8%	#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))))
▶	82.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
▶	53.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
▶	48.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 124 to 84 computations (32.3% saved)

simplify126.0ms (1.2%)

Memory

27.5MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	147
0	41	147
1	66	147
2	99	147
3	188	147
4	311	147
5	527	147
6	913	147
7	1394	147
8	1930	147
9	2015	147
10	2045	147
11	2045	147
0	2045	139

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize111.0ms (1%)

Memory

-7.1MiB live, 146.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
accuracy	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	14.869272849190502	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
accuracy	0	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	11.118340423967183	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	32.999748397468196	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
accuracy	0	(*.f64 x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	29.903691289157948	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
accuracy	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	0	(*.f64 x y)
accuracy	0.4919825635220164	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	19.38194774980336	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

62.0ms

256×

valid

Compiler

Compiled 121 to 24 computations (80.2% saved)

Precisions

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

ival-neg: 21.0ms (48.2% of total)

ival-mult: 7.0ms (16.1% of total)

ival-add: 4.0ms (9.2% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series91.0ms (0.8%)

Memory

10.9MiB live, 162.3MiB allocated

Counts

16 → 300

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	(log (+ 1 (exp x)))
6.0ms	x	@	inf	(log (+ 1 (exp x)))
4.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
3.0ms	y	@	-inf	(+ (* x (- 1/2 y)) (log 2))
2.0ms	x	@	inf	(+ (* x (- 1/2 y)) (log 2))

simplify651.0ms (6%)

Memory

-25.8MiB live, 734.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 372×	`lower-fma.f64`
14 372×	`lower-fma.f32`
3 466×	`lower-*.f64`
3 466×	`lower-*.f32`
2 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	2073
1	372	2048
2	964	2045
3	3957	2033
4	7834	2033
0	8221	1768

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

rewrite356.0ms (3.3%)

Memory

35.4MiB live, 475.8MiB allocated

Rules

5 174×	`lower-*.f32`
5 170×	`lower-*.f64`
4 714×	`lower-/.f64`
4 714×	`lower-/.f32`
3 086×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	128
0	41	128
1	156	128
2	1148	128
0	8398	120

Stop Event

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

Counts

16 → 337

Calls

Call 1

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

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

eval137.0ms (1.3%)

Memory: 29.3MiB live, 187.7MiB allocated
Compiler: Compiled 13 955 to 1 280 computations (90.8% saved)

prune117.0ms (1.1%)

Memory

-16.8MiB live, 143.1MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	628	11	639
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	630	15	645

Accuracy

100.0%

Counts

645 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.9%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	71.6%	#s(approx (- (log (+ 1 (exp x))) (* x 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))))
	53.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
	48.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
▶	13.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
	13.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))))
	26.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y))))))
	13.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))))
✓	53.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓	48.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	7.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
▶	36.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
▶	3.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
	3.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
▶	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))

Compiler

Compiled 357 to 214 computations (40.1% saved)

simplify253.0ms (2.3%)

Memory

34.3MiB live, 381.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))
cost-diff	320	(*.f64 #s(literal 0 binary64) y)
cost-diff	1664	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
cost-diff	0	(+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x))
cost-diff	0	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
cost-diff	832	(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(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))
cost-diff	0	(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)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x 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))))

Rules

6 434×	`lower-fma.f32`
6 426×	`lower-fma.f64`
2 714×	`lower-*.f32`
2 700×	`lower-*.f64`
2 502×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	346
0	75	310
1	149	307
2	290	289
3	640	289
4	1702	283
5	4323	283
6	7046	283
0	8394	260

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (1.4%)

Memory

-10.9MiB live, 153.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 0 binary64) y)
accuracy	0.05859375	(.f64 y (.f64 y y))
accuracy	29.903691289157948	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
accuracy	45.49962432472217	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
accuracy	0.00390625	(/.f64 (+.f64 y #s(literal -1/2 binary64)) x)
accuracy	12.689646812913672	(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))
accuracy	14.869272849190502	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
accuracy	61.387813670466265	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.00390625	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
accuracy	14.869272849190502	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
accuracy	44.69532945277695	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	11.118340423967183	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
accuracy	51.40760776245776	#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.01953125	(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))
accuracy	0.03125	(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)))
accuracy	0.05078125	(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
accuracy	18.1469420118922	#s(approx (- (log (+ 1 (exp x))) (* x 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))))

Samples

102.0ms

256×

valid

Compiler

Compiled 248 to 44 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-log: 27.0ms (36.1% of total)

ival-mult: 21.0ms (28.1% of total)

ival-add: 10.0ms (13.4% of total)

ival-sub: 4.0ms (5.3% of total)

const: 4.0ms (5.3% of total)

ival-div: 3.0ms (4% of total)

ival-log1p: 3.0ms (4% of total)

ival-exp: 2.0ms (2.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series86.0ms (0.8%)

Memory

1.6MiB live, 158.1MiB allocated

Counts

22 → 432

Calls

Call 1

Inputs
#<alt #s(approx (- (log (+ 1 (exp x))) (* x 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))))>
#<alt (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)))>
#<alt (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))>
#<alt (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))>
#<alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))>
#<alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))>
#<alt #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))>
#<alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))>
#<alt #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x))))>
#<alt (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x))>
#<alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))>
#<alt (*.f64 #s(literal 0 binary64) y)>
#<alt (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))>
#<alt (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))>
#<alt (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)>
#<alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))>
#<alt (.f64 y (.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 (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))>
#<alt (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* 1/192 (pow x 4))>
#<alt (* (pow x 4) (- 1/192 (* 1/192 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/192 (* -1 (/ (+ 1/192 (* 1/8 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/192 (* -1 (/ (+ 1/192 (* -1 (/ (- (* 5/8 (/ 1 x)) 1/8) x))) x))))>
#<alt (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))>
#<alt (- 1/2 y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)>
#<alt (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)>
#<alt (* -1/192 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* -1/192 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/192 (* 1/192 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/192 (* 1/8 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/192 (* -1 (/ (- (* 5/8 (/ 1 x)) 1/8) x))) x)))))>
#<alt (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))>
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (* -1 y)>
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))>
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))>
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))>
#<alt 1/8>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (* -1/192 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* -1/192 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<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 (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* 1/2 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 (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 (- 1/2 y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))>
#<alt (* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))>
#<alt (* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))>
#<alt (* x (+ 1/2 (* 1/8 x)))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (- 1/2 y)>
#<alt (- 1/2 y)>
#<alt (- 1/2 y)>
#<alt (- 1/2 y)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- (+ y (* -1/8 x)) 1/2) x)>
#<alt (/ (- (+ y (* -1/8 x)) 1/2) x)>
#<alt (/ (- (+ y (* -1/8 x)) 1/2) x)>
#<alt (/ (- 1/2 y) x)>
#<alt (/ (- 1/2 y) x)>
#<alt (/ (- 1/2 y) x)>
#<alt (/ (- 1/2 y) x)>
#<alt (- y 1/2)>
#<alt (- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))>
#<alt (- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))>
#<alt (- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))>
#<alt (* -1 (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (/ y x)>
#<alt (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))>
#<alt (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))>
#<alt (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))>
#<alt (/ y x)>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))>
#<alt (* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))>
#<alt (* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))>
#<alt (* x (+ 1/2 (* 1/8 x)))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (/ y x)>
#<alt (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))>
#<alt (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))>
#<alt (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))>
#<alt (/ y x)>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- (+ y (* -1/8 x)) 1/2) x)>
#<alt (/ (- (+ y (* -1/8 x)) 1/2) x)>
#<alt (/ (- (+ y (* -1/8 x)) 1/2) x)>
#<alt (- y 1/2)>
#<alt (- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))>
#<alt (- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))>
#<alt (- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))>
#<alt (- y 1/2)>
#<alt (- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))>
#<alt (- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))>
#<alt (- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt 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 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 (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ y x)>
#<alt (* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (- y 1/2)>
#<alt (- y 1/2)>
#<alt (- y 1/2)>
#<alt (- y 1/2)>
#<alt (* -1 (/ (- y 1/2) x))>
#<alt (* -1 (/ (- y 1/2) x))>
#<alt (* -1 (/ (- y 1/2) x))>
#<alt (* -1 (/ (- y 1/2) 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 (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)>

Calls

108 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(+ (* x (- 1/2 y)) (log 2))
4.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
3.0ms	x	@	inf	(+ (* x (+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))) (log 2))
3.0ms	y	@	inf	(* y (* y y))
2.0ms	y	@	-inf	(+ (* x (+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))) (log 2))

simplify371.0ms (3.4%)

Memory

-9.7MiB live, 465.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 920×	`lower-fma.f64`
7 920×	`lower-fma.f32`
4 044×	`lower-*.f64`
4 044×	`lower-*.f32`
3 238×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	3434
1	626	3331
2	1830	3319
3	6138	3304
0	8067	3005

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 420

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))))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* 1/192 (pow x 4))
(* (pow x 4) (- 1/192 (* 1/192 (/ 1 x))))
(* (pow x 4) (+ 1/192 (* -1 (/ (+ 1/192 (* 1/8 (/ 1 x))) x))))
(* (pow x 4) (+ 1/192 (* -1 (/ (+ 1/192 (* -1 (/ (- (* 5/8 (/ 1 x)) 1/8) x))) x))))
(* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* -1 (* (pow x 3) (- 1/192 (* 1/192 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/192 (* 1/8 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/192 (* -1 (/ (- (* 5/8 (/ 1 x)) 1/8) x))) x)))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(* -1 y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* 1/2 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)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* -1/8 x)
(* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
(* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
(* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
(* x (+ 1/2 (* 1/8 x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(- 1/2 y)
(- 1/2 y)
(- 1/2 y)
(- 1/2 y)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
1
1
1
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(/ (- y 1/2) x)
(/ (- (+ y (* -1/8 x)) 1/2) x)
(/ (- (+ y (* -1/8 x)) 1/2) x)
(/ (- (+ y (* -1/8 x)) 1/2) x)
(/ (- 1/2 y) x)
(/ (- 1/2 y) x)
(/ (- 1/2 y) x)
(/ (- 1/2 y) x)
(- y 1/2)
(- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))
(- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))
(- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))
(* -1 (+ 1/8 (* 1/2 (/ 1 x))))
(- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))
(- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))
(- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))
(/ y x)
(* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))
(* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))
(* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))
(/ y x)
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* -1/8 x)
(* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
(* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
(* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
(* x (+ 1/2 (* 1/8 x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (+ 1/8 (* 1/2 (/ 1 x))))
(- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))
(- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))
(- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))
(/ y x)
(* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))
(* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))
(* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))
(/ y x)
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(/ (- y 1/2) x)
(/ (- (+ y (* -1/8 x)) 1/2) x)
(/ (- (+ y (* -1/8 x)) 1/2) x)
(/ (- (+ y (* -1/8 x)) 1/2) x)
(- y 1/2)
(- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))
(- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))
(- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))
(- y 1/2)
(- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))
(- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))
(- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
0
0
0
0
0
0
0
0
0
0
0
0
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
x
x
x
x
x
x
x
x
(/ y x)
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
x
x
x
x
(- y 1/2)
(- y 1/2)
(- y 1/2)
(- y 1/2)
(* -1 (/ (- y 1/2) x))
(* -1 (/ (- y 1/2) x))
(* -1 (/ (- y 1/2) x))
(* -1 (/ (- y 1/2) 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))))
(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)

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(.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)))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(.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)))
(* -1/192 (pow x 4))
(*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/192 binary64) (/.f64 y (.f64 x (.f64 x x)))))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/192 binary64) (/.f64 y (.f64 x (.f64 x x)))))))
(* 1/192 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/192 binary64))
(* (pow x 4) (- 1/192 (* 1/192 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/192 binary64) (/.f64 #s(literal -1/192 binary64) x)))
(* (pow x 4) (+ 1/192 (* -1 (/ (+ 1/192 (* 1/8 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))
(* (pow x 4) (+ 1/192 (* -1 (/ (+ 1/192 (* -1 (/ (- (* 5/8 (/ 1 x)) 1/8) x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5/8 binary64) x) #s(literal -1/8 binary64)) x)) x)))
(* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))
(.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)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(.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)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(.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)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(.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)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(.f64 y (fma.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 x y) (neg.f64 x)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(.f64 y (fma.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 x y) (neg.f64 x)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(.f64 y (fma.f64 (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 x y) (neg.f64 x)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(.f64 y (-.f64 (/.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))) y) x))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(.f64 y (-.f64 (/.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))) y) x))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(.f64 y (-.f64 (/.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))) y) x))
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(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))
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(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))
(* -1/192 (pow x 3))
(.f64 x (.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/192 binary64) (/.f64 y (.f64 x (.f64 x x)))))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/192 binary64) (/.f64 y (.f64 x (.f64 x x)))))))
(* -1/192 (pow x 3))
(.f64 x (.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/192 (* 1/192 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/192 binary64) x)))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/192 (* 1/8 (/ 1 x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/192 (* -1 (/ (- (* 5/8 (/ 1 x)) 1/8) x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 5/8 binary64) x)) x)) x)))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(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))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
(* -1 y)
(neg.f64 y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(fma.f64 y (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(fma.f64 y (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(fma.f64 y (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
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(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(.f64 x (.f64 x (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)))))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(.f64 x (.f64 x (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)))))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))
(* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))
(* -1 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))
(* x (+ 1/2 (* 1/8 x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(*.f64 y (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (neg.f64 x)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(*.f64 y (-.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) y) x))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(*.f64 y (-.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) y) x))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(*.f64 y (-.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) y) x))
(* -1 (+ 1/8 (* 1/2 (/ 1 x))))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))
(+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x))
(- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))
(+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x))
(- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))
(+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x))
(/ y x)
(/.f64 y x)
(* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y y) (/.f64 y x))
(/ (- y 1/2) x)
(/.f64 (+.f64 y #s(literal -1/2 binary64)) x)
(/ (- (+ y (* -1/8 x)) 1/2) x)
(/.f64 (fma.f64 x #s(literal -1/8 binary64) (+.f64 y #s(literal -1/2 binary64))) x)
(/ (- (+ y (* -1/8 x)) 1/2) x)
(/.f64 (fma.f64 x #s(literal -1/8 binary64) (+.f64 y #s(literal -1/2 binary64))) x)
(/ (- (+ y (* -1/8 x)) 1/2) x)
(/.f64 (fma.f64 x #s(literal -1/8 binary64) (+.f64 y #s(literal -1/2 binary64))) x)
(- y 1/2)
(+.f64 y #s(literal -1/2 binary64))
(- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))
(+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))
(- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))
(+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))
(- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))
(+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))
(- y 1/2)
(+.f64 y #s(literal -1/2 binary64))
(- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))
(+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))
(- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))
(+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))
(- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))
(+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (.f64 y (.f64 y y)))
x
x
x
x
x
x
x
x
(/ y x)
(/.f64 y x)
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(-.f64 (/.f64 y x) (.f64 y (/.f64 #s(literal 1/2 binary64) (.f64 x y))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(-.f64 (/.f64 y x) (.f64 y (/.f64 #s(literal 1/2 binary64) (.f64 x y))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(-.f64 (/.f64 y x) (.f64 y (/.f64 #s(literal 1/2 binary64) (.f64 x y))))
x
x
x
x
(- y 1/2)
(+.f64 y #s(literal -1/2 binary64))
(- y 1/2)
(+.f64 y #s(literal -1/2 binary64))
(- y 1/2)
(+.f64 y #s(literal -1/2 binary64))
(- y 1/2)
(+.f64 y #s(literal -1/2 binary64))
(* -1 (/ (- y 1/2) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* -1 (/ (- y 1/2) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* -1 (/ (- y 1/2) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* -1 (/ (- y 1/2) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(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))

rewrite1.2s (11.1%)

Memory

-153.0MiB live, 569.6MiB allocated

Rules

5 686×	`lower-*.f32`
5 672×	`lower-*.f64`
4 586×	`lower-fma.f32`
4 578×	`lower-fma.f64`
3 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	290
0	75	265
1	341	250
2	2974	250
0	9096	227

Stop Event

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

Counts

22 → 561

Calls

Call 1

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

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

eval168.0ms (1.5%)

Memory: 20.8MiB live, 241.9MiB allocated
Compiler: Compiled 29 812 to 2 272 computations (92.4% saved)

prune107.0ms (1%)

Memory

15.2MiB live, 255.4MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1 021	8	1 029
Fresh	4	3	7
Picked	4	1	5
Done	0	3	3
Total	1 029	15	1 044

Accuracy

100.0%

Counts

1 044 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.9%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	51.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
▶	53.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
	48.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
✓	53.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓	48.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	8.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
	7.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(approx (+ -1/8 (/ (+ y -1/2) x)) (+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))))))
	3.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
▶	8.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
▶	2.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
	11.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1 binary64))))
▶	11.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
	3.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (+ -1/8 (/ (+ y -1/2) x))) (+.f64 y #s(literal -1/2 binary64)))))
✓	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))

Compiler

Compiled 248 to 144 computations (41.9% saved)

simplify168.0ms (1.5%)

Memory

-33.0MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 668×	`lower-fma.f32`
2 664×	`lower-fma.f64`
836×	`lower-*.f32`
834×	`lower-*.f64`
580×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	359
0	54	359
1	88	359
2	125	359
3	212	359
4	335	359
5	559	359
6	944	359
7	1489	359
8	2194	359
9	2726	359
10	2934	359
11	3061	359
12	3221	359
13	3261	359
14	3339	359
15	3503	359
0	3503	341

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize94.0ms (0.9%)

Memory

42.9MiB live, 150.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	12.689646812913672	(*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))
accuracy	14.869272849190502	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
accuracy	61.387813670466265	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
accuracy	63.249575458045726	#s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	14.869272849190502	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
accuracy	44.69532945277695	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y)))
accuracy	62.1868041431589	#s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))
accuracy	0	(neg.f64 y)
accuracy	14.869272849190502	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
accuracy	44.69532945277695	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y)))
accuracy	61.79751994751899	#s(approx (* x (- 1/2 y)) (neg.f64 y))
accuracy	14.869272849190502	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
accuracy	44.69532945277695	#s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64)))
accuracy	61.98808340316139	#s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))
accuracy	0	(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	14.869272849190502	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
accuracy	28.24044593273483	#s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))

Samples

57.0ms

256×

valid

Compiler

Compiled 182 to 27 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 7.0ms (25.4% of total)

ival-add: 4.0ms (14.5% of total)

ival-div: 3.0ms (10.9% of total)

ival-sub: 3.0ms (10.9% of total)

ival-log: 3.0ms (10.9% of total)

ival-log1p: 3.0ms (10.9% of total)

ival-exp: 2.0ms (7.2% of total)

exact: 1.0ms (3.6% of total)

ival-neg: 1.0ms (3.6% of total)

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

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

series83.0ms (0.8%)

Memory

-19.4MiB live, 181.8MiB allocated

Counts

21 → 444

Calls

Call 1

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

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)))>
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#<alt (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))>
#<alt (/ y x)>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x))))>
#<alt (/ y x)>
#<alt (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))>
#<alt (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))>
#<alt (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x)))>
#<alt (/ y x)>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- (+ y (* -1/8 x)) 1/2) x)>
#<alt (/ (- (+ y (* -1/8 x)) 1/2) x)>
#<alt (/ (- (+ y (* -1/8 x)) 1/2) x)>
#<alt (- y 1/2)>
#<alt (- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))>
#<alt (- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))>
#<alt (- (+ y (* 1/2 (/ 1 x))) (+ 1/2 (/ y x)))>
#<alt (- y 1/2)>
#<alt (- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))>
#<alt (- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))>
#<alt (- (* -1 (/ (- y 1/2) x)) (* -1 (- y 1/2)))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ y x)>
#<alt (* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (- y 1/2)>
#<alt (- y 1/2)>
#<alt (- y 1/2)>
#<alt (- y 1/2)>
#<alt (* -1 (/ (- y 1/2) x))>
#<alt (* -1 (/ (- y 1/2) x))>
#<alt (* -1 (/ (- y 1/2) x))>
#<alt (* -1 (/ (- y 1/2) x))>

Calls

111 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(- (log (+ 1 (exp x))) (* x y))
3.0ms	x	@	0	(+ -1/8 (/ (+ y -1/2) x))
3.0ms	y	@	-inf	(- (log (+ 1 (exp x))) (* x y))
3.0ms	x	@	-inf	(+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2))
2.0ms	x	@	0	(- (log (+ 1 (exp x))) (* x y))

simplify455.0ms (4.2%)

Memory

-13.1MiB live, 630.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 830×	`lower-fma.f64`
17 830×	`lower-fma.f32`
3 358×	`lower-*.f64`
3 358×	`lower-*.f32`
2 882×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	3221
1	401	3115
2	1078	3070
3	4432	3040
0	8420	2706

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 432

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

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

rewrite329.0ms (3%)

Memory

33.6MiB live, 394.8MiB allocated

Rules

4 510×	`lower-/.f32`
4 508×	`lower-/.f64`
3 620×	`lower-fma.f32`
3 616×	`lower-fma.f64`
3 440×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	339
0	54	339
1	203	339
2	1437	339
0	8390	321

Stop Event

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

Counts

21 → 242

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 x (.f64 #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 x #s(approx (- (+ ( x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))
(.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))))
(.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
(.f64 (neg.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
(*.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))
(log.f64 #s(literal 2 binary64))
#s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))

eval87.0ms (0.8%)

Memory: 0.8MiB live, 149.8MiB allocated
Compiler: Compiled 12 281 to 898 computations (92.7% saved)

prune64.0ms (0.6%)

Memory

-22.4MiB live, 139.2MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	743	8	751
Fresh	1	5	6
Picked	1	4	5
Done	0	4	4
Total	745	21	766

Accuracy

100.0%

Counts

766 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.9%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	51.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
✓	53.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
	48.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
✓	53.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓	48.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	5.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) x) (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
	8.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))))
	5.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))))
	5.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)))))))
	11.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
	5.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))))
	7.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(approx (+ -1/8 (/ (+ y -1/2) x)) (+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))))))
	3.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
	8.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))))
✓	8.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
✓	2.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
	11.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1 binary64))))
✓	11.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
	3.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (+ -1/8 (/ (+ y -1/2) x))) (+.f64 y #s(literal -1/2 binary64)))))
✓	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))

Compiler

Compiled 702 to 238 computations (66.1% saved)

regimes31.0ms (0.3%)

Memory

7.2MiB live, 44.9MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (+ -1/8 (/ (+ y -1/2) x))) (+.f64 y #s(literal -1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(approx (+ -1/8 (/ (+ y -1/2) x)) (+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) x) (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x 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))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

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

Calls

3 calls:

10.0ms	x
10.0ms	y
9.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes31.0ms (0.3%)

Memory

13.5MiB live, 50.9MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (+ -1/8 (/ (+ y -1/2) x))) (+.f64 y #s(literal -1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(approx (+ -1/8 (/ (+ y -1/2) x)) (+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) x) (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x 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))))

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 (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))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	2	`x`
89.9%	1	`y`
98.5%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes11.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (+ -1/8 (/ (+ y -1/2) x))) (+.f64 y #s(literal -1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(approx (+ -1/8 (/ (+ y -1/2) x)) (+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) x) (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-26.8MiB live, 18.0MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (+ -1/8 (/ (+ y -1/2) x))) (+.f64 y #s(literal -1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(approx (+ -1/8 (/ (+ y -1/2) x)) (+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) x) (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))

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:

11.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (+ -1/8 (/ (+ y -1/2) x))) (+.f64 y #s(literal -1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(approx (+ -1/8 (/ (+ y -1/2) x)) (+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) x) (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #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:

8.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.3%)

Memory

-22.3MiB live, 15.0MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (+ -1/8 (/ (+ y -1/2) x))) (+.f64 y #s(literal -1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(approx (+ -1/8 (/ (+ y -1/2) x)) (+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) x) (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) #s(approx (+ (* x 1/8) 1/2) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))

Outputs

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

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

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

Calls

2 calls:

22.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
8.0ms	x

Results

Accuracy	Segments	Branch
98.5%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
86.5%	3	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (+ -1/8 (/ (+ y -1/2) x))) (+.f64 y #s(literal -1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(approx (+ -1/8 (/ (+ y -1/2) x)) (+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) x) (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
98.3%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes24.0ms (0.2%)

Memory

-0.7MiB live, 36.3MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (+ -1/8 (/ (+ y -1/2) x))) (+.f64 y #s(literal -1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(literal -1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x #s(approx (+ -1/8 (/ (+ y -1/2) x)) (+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) x) (-.f64 #s(literal -1/8 binary64) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (.f64 x (.f64 (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ y -1/2) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/64 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 (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))

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

Calls

3 calls:

9.0ms	x
7.0ms	y
6.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
53.3%	1	`x`
53.3%	1	`y`
61.6%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes9.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Accuracy

Total -6.8b remaining (-12.1%)

Threshold costs -6.8b (-12.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
11.8%	1	`x`
11.8%	1	`y`
11.8%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch11.0ms (0.1%)

Memory

-22.3MiB live, 15.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-4.367822212026097e+19	-277450196448739970.0

Samples

5.0ms

112×

valid

Compiler

Compiled 203 to 137 computations (32.5% saved)

Precisions

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

ival-exp: 1.0ms (36.8% of total)

ival-log1p: 1.0ms (36.8% of total)

ival-mult: 1.0ms (36.8% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.367822212026097e+19	-277450196448739970.0

Compiler

Compiled 168 to 116 computations (31% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.367822212026097e+19	-277450196448739970.0

Compiler

Compiled 147 to 102 computations (30.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-4.367822212026097e+19	-277450196448739970.0

Compiler

Compiled 140 to 95 computations (32.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6955040760578683	116.89731485742658
0.0ms	0.0001183881145231975	0.6931405402315874

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6955040760578683	116.89731485742658
0.0ms	0.0001183881145231975	0.6931405402315874

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6955040760578683	116.89731485742658
0.0ms	0.0001183881145231975	0.6931405402315874

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify9.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	401
1	85	401
2	96	401
3	101	401
4	103	401

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 -280000000000000000 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 (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)))))
(if (<=.f64 x #s(literal -280000000000000000 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 -280000000000000000 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 -280000000000000000 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 7378697629483821/36893488147419103232 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)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 7378697629483821/36893488147419103232 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 7378697629483821/36893488147419103232 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 (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -280000000000000000 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 (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)))))
(if (<=.f64 x #s(literal -280000000000000000 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 -280000000000000000 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 -280000000000000000 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 7378697629483821/36893488147419103232 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)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 7378697629483821/36893488147419103232 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 7378697629483821/36893488147419103232 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 (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) #s(approx (* x (- 1/2 y)) #s(literal 1/2 binary64))))

soundness1.2s (10.6%)

Memory

4.7MiB live, 532.2MiB allocated

Rules

14 372×	`lower-fma.f64`
14 372×	`lower-fma.f32`
11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
7 920×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	472
1	180	472
2	389	472
3	1353	472
4	4014	442
5	6856	442
0	8132	372
0	209	3434
1	626	3331
2	1830	3319
3	6138	3304
0	8067	3005
0	128	2073
1	372	2048
2	964	2045
3	3957	2033
4	7834	2033
0	8221	1768

Stop Event

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

Compiler

Compiled 356 to 148 computations (58.4% saved)

preprocess100.0ms (0.9%)

Memory: -18.3MiB live, 94.6MiB allocated
Compiler: Compiled 496 to 134 computations (73% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze106.0ms (1%)

sample2.7s (24.9%)

explain106.0ms (1%)

preprocess33.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.5%)

localize24.0ms (0.2%)

series250.0ms (2.3%)

simplify279.0ms (2.6%)

rewrite498.0ms (4.6%)

eval65.0ms (0.6%)

prune101.0ms (0.9%)

simplify126.0ms (1.2%)

localize111.0ms (1%)

series91.0ms (0.8%)

simplify651.0ms (6%)

rewrite356.0ms (3.3%)

eval137.0ms (1.3%)

prune117.0ms (1.1%)

simplify253.0ms (2.3%)

localize148.0ms (1.4%)

series86.0ms (0.8%)

simplify371.0ms (3.4%)

rewrite1.2s (11.1%)

eval168.0ms (1.5%)

prune107.0ms (1%)

simplify168.0ms (1.5%)

localize94.0ms (0.9%)

series83.0ms (0.8%)

simplify455.0ms (4.2%)

rewrite329.0ms (3%)

eval87.0ms (0.8%)

prune64.0ms (0.6%)

regimes31.0ms (0.3%)

regimes31.0ms (0.3%)

regimes11.0ms (0.1%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes31.0ms (0.3%)

regimes8.0ms (0.1%)

regimes24.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.2s (10.6%)

preprocess100.0ms (0.9%)

end0.0ms (0%)

Profiling

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

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