Metrics for log(exp(x+y)/(exp(x)+exp(y)))

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample1.7s (34.6%)

Memory

88.3MiB live, 896.7MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 748.0ms

ival-exp: 217.0ms (29% of total)

ival-<=: 159.0ms (21.3% of total)

ival-add: 114.0ms (15.2% of total)

ival-log: 108.0ms (14.4% of total)

ival-div: 104.0ms (13.9% of total)

ival-and: 28.0ms (3.7% of total)

exact: 14.0ms (1.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain227.0ms (4.5%)

Memory

108.7MiB live, 193.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`
-	-	`y`
-	-	`(exp.f64 y)`
-	-	`(+.f64 (exp.f64 x) (exp.f64 y))`
-	-	`(+.f64 x y)`
-	-	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
-	-	`(exp.f64 x)`
-	-	`x`
-	-	`(exp.f64 (+.f64 x y))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

48.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-exp: 13.0ms (43.6% of total)

ival-log: 7.0ms (23.5% of total)

ival-add: 6.0ms (20.1% of total)

ival-div: 4.0ms (13.4% of total)

ival-true: 1.0ms (3.4% of total)

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

preprocess71.0ms (1.4%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	48	61
2	83	61
3	137	61
4	282	61
5	460	51
6	682	41
7	928	40
8	2973	39
9	4328	39
10	5352	39
11	6384	39
0	9	11
0	16	11
1	19	11
2	22	11
3	25	11
4	26	11
0	26	11

Stop Event

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

Calls

Call 1

Inputs
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))

Outputs
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
(log.f64 (/.f64 (exp.f64 (+.f64 y x)) (+.f64 (exp.f64 y) (exp.f64 x))))

Symmetry

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify3.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(exp.f64 (+.f64 x y))
cost-diff	0	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))
cost-diff	0	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	16	39
1	19	39
2	22	39
3	25	39
4	26	39
0	26	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))
(exp.f64 (+.f64 x y))
(+.f64 x y)
x
y
(+.f64 (exp.f64 x) (exp.f64 y))
(exp.f64 x)
(exp.f64 y)

Outputs
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
(log.f64 (/.f64 (exp.f64 (+.f64 y x)) (+.f64 (exp.f64 y) (exp.f64 x))))
(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))
(/.f64 (exp.f64 (+.f64 y x)) (+.f64 (exp.f64 y) (exp.f64 x)))
(exp.f64 (+.f64 x y))
(exp.f64 (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 (exp.f64 x) (exp.f64 y))
(+.f64 (exp.f64 y) (exp.f64 x))
(exp.f64 x)
(exp.f64 y)

localize30.0ms (0.6%)

Memory

11.2MiB live, 11.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.03125	(+.f64 (exp.f64 x) (exp.f64 y))
accuracy	0.04296875	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
accuracy	0.05078125	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))

Samples

22.0ms

256×

valid

Compiler

Compiled 80 to 20 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-exp: 6.0ms (44.3% of total)

ival-add: 3.0ms (22.1% of total)

ival-log: 3.0ms (22.1% of total)

ival-div: 2.0ms (14.8% of total)

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

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

series177.0ms (3.5%)

Memory

-168.4MiB live, 27.8MiB allocated

Counts

6 → 53

Calls

Call 1

Inputs
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))
(exp.f64 (+.f64 x y))
(+.f64 x y)
(+.f64 (exp.f64 x) (exp.f64 y))
(exp.f64 x)

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

Calls

6 calls:

Time	Variable		Point	Expression
86.0ms	x	@	-inf	((log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (/ (exp (+ x y)) (+ (exp x) (exp y))) (exp (+ x y)) (+ x y) (+ (exp x) (exp y)) (exp x))
36.0ms	y	@	-inf	((log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (/ (exp (+ x y)) (+ (exp x) (exp y))) (exp (+ x y)) (+ x y) (+ (exp x) (exp y)) (exp x))
31.0ms	x	@	inf	((log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (/ (exp (+ x y)) (+ (exp x) (exp y))) (exp (+ x y)) (+ x y) (+ (exp x) (exp y)) (exp x))
17.0ms	y	@	inf	((log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (/ (exp (+ x y)) (+ (exp x) (exp y))) (exp (+ x y)) (+ x y) (+ (exp x) (exp y)) (exp x))
4.0ms	x	@	0	((log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (/ (exp (+ x y)) (+ (exp x) (exp y))) (exp (+ x y)) (+ x y) (+ (exp x) (exp y)) (exp x))

simplify151.0ms (3%)

Memory

43.8MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	1713
1	802	1641
2	2817	1625
0	8317	1530

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 51

Calls

Call 1

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

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

rewrite191.0ms (3.8%)

Memory

-26.7MiB live, 55.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	16	35
1	54	34
2	367	34
3	3851	34
0	8722	34

Stop Event

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

Counts

6 → 468

Calls

Call 1

Inputs
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))
(exp.f64 (+.f64 x y))
(+.f64 x y)
(+.f64 (exp.f64 x) (exp.f64 y))
(exp.f64 x)

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

eval70.0ms (1.4%)

Memory: -27.8MiB live, 48.4MiB allocated
Compiler: Compiled 13 984 to 1 990 computations (85.8% saved)

prune14.0ms (0.3%)

Memory

22.6MiB live, 22.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	501	10	511
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	502	10	512

Accuracy

100.0%

Counts

512 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))))
▶	99.9%	(-.f64 (+.f64 y x) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
▶	99.9%	(-.f64 (log.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 y x))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
	98.5%	(+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 (+.f64 y x))) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 (+.f64 y x))) #s(literal -1/2 binary64))))
	98.2%	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) #s(approx (+ (exp x) (exp y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 #s(literal 1 binary64) (exp.f64 y))))))
	99.9%	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 (+.f64 y x)))))
▶	99.9%	(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 y x)))))
▶	96.2%	(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))))
	97.4%	(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
	98.5%	#s(approx (log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (fma.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (exp.f64 x) y y) (exp.f64 x)) (log.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))

Compiler

Compiled 414 to 274 computations (33.8% saved)

simplify152.0ms (3%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 x y)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(pow.f64 (-.f64 x y) #s(literal -1 binary64))
cost-diff	6080	(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))))
cost-diff	0	(+.f64 (exp.f64 y) (exp.f64 x))
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x)))
cost-diff	576	(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 y x)))))
cost-diff	6784	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 y x))))
cost-diff	0	(exp.f64 y)
cost-diff	0	(/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))
cost-diff	0	#s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))))
cost-diff	0	(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))))
cost-diff	0	(+.f64 (exp.f64 y) (exp.f64 x))
cost-diff	0	(log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(-.f64 (+.f64 y x) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
cost-diff	0	(neg.f64 (exp.f64 (+.f64 y x)))
cost-diff	0	(-.f64 (log.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 y x))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
cost-diff	832	(/.f64 (neg.f64 (exp.f64 (+.f64 y x))) #s(literal -1 binary64))
cost-diff	12800	(log.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 y x))) #s(literal -1 binary64)))

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	34	279
0	57	276
1	84	272
2	155	262
3	324	258
4	660	258
5	1245	258
6	1596	258
7	2062	258
8	2220	258
9	2503	258
10	3006	253
11	4623	253
12	5321	253
13	6337	253
14	7163	253
15	7991	253
0	8030	253

Stop Event

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

Calls

Call 1

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

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

localize366.0ms (7.3%)

Memory

33.6MiB live, 110.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(+.f64 (exp.f64 y) (exp.f64 x))
accuracy	0.03515625	(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))))
accuracy	0.04296875	(log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))
accuracy	45.11343548447481	(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 x y)))
accuracy	0.0234375	(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x)))
accuracy	0.03125	(+.f64 (exp.f64 y) (exp.f64 x))
accuracy	0.0390625	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 y x))))
accuracy	0.04296875	(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 y x)))))
accuracy	0.01171875	(/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))
accuracy	0.015625	(+.f64 #s(literal 1 binary64) (exp.f64 y))
accuracy	0.04296875	(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))))
accuracy	2.406384645315523	#s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y))))
accuracy	0.0	(exp.f64 x)
accuracy	0.029628759768442016	(-.f64 (+.f64 y x) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
accuracy	0.03125	(+.f64 (exp.f64 y) (exp.f64 x))
accuracy	0.04296875	(log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))
accuracy	0.029628759768442016	(-.f64 (log.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 y x))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
accuracy	0.03125	(+.f64 (exp.f64 y) (exp.f64 x))
accuracy	0.04296875	(log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))
accuracy	55.491373966652624	(log.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 y x))) #s(literal -1 binary64)))

Samples

237.0ms	210×	1	valid
69.0ms	27×	2	valid
7.0ms	1×	5	exit
6.0ms	18×	0	valid

Compiler

Compiled 545 to 68 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-log: 97.0ms (35% of total)

ival-pow: 87.0ms (31.4% of total)

ival-exp: 26.0ms (9.4% of total)

adjust: 20.0ms (7.2% of total)

ival-div: 14.0ms (5% of total)

ival-add: 14.0ms (5% of total)

ival-sub: 7.0ms (2.5% of total)

ival-mult: 7.0ms (2.5% of total)

ival-neg: 4.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series253.0ms (5%)

Memory

-3.5MiB live, 79.4MiB allocated

Counts

21 → 161

Calls

Call 1

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

Outputs
y
(+ x y)
(exp y)
(+ (exp y) (* x (exp y)))
(+ (exp y) (* x (+ (exp y) (* 1/2 (* x (exp y))))))
(+ (exp y) (* x (+ (exp y) (* x (+ (* 1/6 (* x (exp y))) (* 1/2 (exp y)))))))
(- y (log (+ 1 (exp y))))
(- (+ y (* x (- 1 (/ 1 (+ 1 (exp y)))))) (log (+ 1 (exp y))))
(- (+ y (* x (- (+ 1 (* -1/2 (* x (- (/ 1 (+ 1 (exp y))) (/ 1 (pow (+ 1 (exp y)) 2)))))) (/ 1 (+ 1 (exp y)))))) (log (+ 1 (exp y))))
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Calls

6 calls:

Time	Variable		Point	Expression
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51.0ms	x	@	0	((log (/ (neg (exp (+ y x))) -1)) (/ (neg (exp (+ y x))) -1) (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (neg (exp (+ y x))) (- (+ y x) (log (+ (exp y) (exp x)))) (+ y x) (log (+ (exp y) (exp x))) (+ (exp y) (exp x)) (log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (/ (exp (+ x y)) (+ (exp x) (exp y))) (/ (exp y) (+ 1 (exp y))) (exp y) (* (/ -1 (+ (exp y) (exp x))) (neg (exp (+ y x)))) (log (* (/ -1 (+ (exp y) (exp x))) (neg (exp (+ y x))))) (/ -1 (+ (exp y) (exp x))) (+ (* (pow (- x y) -1) (log (pow (exp (+ y x)) (- x y)))) (neg (log (+ (exp y) (exp x))))) (pow (- x y) -1) (- x y) (log (pow (exp (+ y x)) (- x y))) (exp x) (+ 1 (exp y)))
40.0ms	x	@	inf	((log (/ (neg (exp (+ y x))) -1)) (/ (neg (exp (+ y x))) -1) (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (neg (exp (+ y x))) (- (+ y x) (log (+ (exp y) (exp x)))) (+ y x) (log (+ (exp y) (exp x))) (+ (exp y) (exp x)) (log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (/ (exp (+ x y)) (+ (exp x) (exp y))) (/ (exp y) (+ 1 (exp y))) (exp y) (* (/ -1 (+ (exp y) (exp x))) (neg (exp (+ y x)))) (log (* (/ -1 (+ (exp y) (exp x))) (neg (exp (+ y x))))) (/ -1 (+ (exp y) (exp x))) (+ (* (pow (- x y) -1) (log (pow (exp (+ y x)) (- x y)))) (neg (log (+ (exp y) (exp x))))) (pow (- x y) -1) (- x y) (log (pow (exp (+ y x)) (- x y))) (exp x) (+ 1 (exp y)))
39.0ms	x	@	-inf	((log (/ (neg (exp (+ y x))) -1)) (/ (neg (exp (+ y x))) -1) (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (neg (exp (+ y x))) (- (+ y x) (log (+ (exp y) (exp x)))) (+ y x) (log (+ (exp y) (exp x))) (+ (exp y) (exp x)) (log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (/ (exp (+ x y)) (+ (exp x) (exp y))) (/ (exp y) (+ 1 (exp y))) (exp y) (* (/ -1 (+ (exp y) (exp x))) (neg (exp (+ y x)))) (log (* (/ -1 (+ (exp y) (exp x))) (neg (exp (+ y x))))) (/ -1 (+ (exp y) (exp x))) (+ (* (pow (- x y) -1) (log (pow (exp (+ y x)) (- x y)))) (neg (log (+ (exp y) (exp x))))) (pow (- x y) -1) (- x y) (log (pow (exp (+ y x)) (- x y))) (exp x) (+ 1 (exp y)))
29.0ms	y	@	-inf	((log (/ (neg (exp (+ y x))) -1)) (/ (neg (exp (+ y x))) -1) (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (neg (exp (+ y x))) (- (+ y x) (log (+ (exp y) (exp x)))) (+ y x) (log (+ (exp y) (exp x))) (+ (exp y) (exp x)) (log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (/ (exp (+ x y)) (+ (exp x) (exp y))) (/ (exp y) (+ 1 (exp y))) (exp y) (* (/ -1 (+ (exp y) (exp x))) (neg (exp (+ y x)))) (log (* (/ -1 (+ (exp y) (exp x))) (neg (exp (+ y x))))) (/ -1 (+ (exp y) (exp x))) (+ (* (pow (- x y) -1) (log (pow (exp (+ y x)) (- x y)))) (neg (log (+ (exp y) (exp x))))) (pow (- x y) -1) (- x y) (log (pow (exp (+ y x)) (- x y))) (exp x) (+ 1 (exp y)))

simplify160.0ms (3.2%)

Memory

-26.8MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	784	4148
1	2377	3703
0	8328	3472

Stop Event

1×	iter limit
1×	node limit

Counts

161 → 159

Calls

Call 1

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

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

rewrite205.0ms (4.1%)

Memory

8.8MiB live, 85.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	184
0	57	174
1	233	150
2	1812	150
0	8309	150

Stop Event

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

Counts

21 → 1 470

Calls

Call 1

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

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

eval197.0ms (3.9%)

Memory: -41.9MiB live, 123.7MiB allocated
Compiler: Compiled 39 838 to 4 057 computations (89.8% saved)

prune28.0ms (0.6%)

Memory

50.0MiB live, 50.0MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 246	10	1 256
Fresh	4	1	5
Picked	4	1	5
Done	0	0	0
Total	1 254	12	1 266

Accuracy

100.0%

Counts

1 266 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(-.f64 (+.f64 y x) (log.f64 #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
	99.9%	(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 y)) (exp.f64 (+.f64 x y))) #s(literal 1 binary64))))
	97.4%	(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (neg.f64 (exp.f64 (+.f64 y x)))))
✓	96.2%	(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))))
	97.4%	(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
	95.6%	(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
	95.4%	(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
	95.2%	(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))
	93.7%	(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) #s(literal 1/2 binary64))))
	96.2%	#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 y (log1p.f64 (exp.f64 y))))
	97.4%	#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x))))
	99.8%	#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (*.f64 (+.f64 (/.f64 (-.f64 y (log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))) x) #s(literal 1 binary64)) x))

Compiler

Compiled 712 to 321 computations (54.9% saved)

regimes17.0ms (0.3%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 y (log1p.f64 (exp.f64 y))))
(-.f64 (+.f64 y x) (log.f64 #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (+.f64 y x) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (neg.f64 (exp.f64 (+.f64 y x)))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (*.f64 (+.f64 (/.f64 (-.f64 y (log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))) x) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) #s(approx (+ (exp x) (exp y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 #s(literal 1 binary64) (exp.f64 y))))))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 y x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 (+.f64 y x)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 y)) (exp.f64 (+.f64 x y))) #s(literal 1 binary64))))
(-.f64 (log.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 y x))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))))
(+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 (+.f64 y x))) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 (+.f64 y x))) #s(literal -1/2 binary64))))
#s(approx (log (/ (exp (+ x y)) (+ (exp x) (exp y)))) (fma.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (exp.f64 x) y y) (exp.f64 x)) (log.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))

Outputs
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 y)) (exp.f64 (+.f64 x y))) #s(literal 1 binary64))))

Calls

4 calls:

5.0ms	x
4.0ms	y
4.0ms	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))
4.0ms	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
99.9%	1	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes14.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 y (log1p.f64 (exp.f64 y))))
(-.f64 (+.f64 y x) (log.f64 #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (+.f64 y x) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (neg.f64 (exp.f64 (+.f64 y x)))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (*.f64 (+.f64 (/.f64 (-.f64 y (log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))) x) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) #s(approx (+ (exp x) (exp y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 #s(literal 1 binary64) (exp.f64 y))))))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 y x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 y) (exp.f64 x)) (exp.f64 (+.f64 y x)))))

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

Calls

4 calls:

4.0ms	x
3.0ms	y
3.0ms	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
3.0ms	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
99.9%	1	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes15.0ms (0.3%)

Memory

-70.9MiB live, 9.6MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 y (log1p.f64 (exp.f64 y))))
(-.f64 (+.f64 y x) (log.f64 #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (+.f64 y x) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (neg.f64 (exp.f64 (+.f64 y x)))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (*.f64 (+.f64 (/.f64 (-.f64 y (log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))) x) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) #s(approx (+ (exp x) (exp y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 #s(literal 1 binary64) (exp.f64 y))))))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))

Outputs
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))

Calls

4 calls:

5.0ms	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
3.0ms	x
3.0ms	y
3.0ms	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
99.9%	1	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes12.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 y (log1p.f64 (exp.f64 y))))
(-.f64 (+.f64 y x) (log.f64 #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (+.f64 y x) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (exp.f64 y)))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (neg.f64 (exp.f64 (+.f64 y x)))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (*.f64 (+.f64 (/.f64 (-.f64 y (log.f64 (+.f64 (exp.f64 y) (exp.f64 x)))) x) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) #s(approx (+ (exp x) (exp y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 #s(literal 1 binary64) (exp.f64 y))))))

Outputs
(-.f64 (+.f64 y x) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
3.0ms	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
99.9%	1	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes8.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 y (log1p.f64 (exp.f64 y))))
(-.f64 (+.f64 y x) (log.f64 #s(approx (+ (exp y) (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))

Outputs

#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x))))

#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 y (log1p.f64 (exp.f64 y))))

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
2.0ms	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))

Results

Accuracy	Segments	Branch
99.9%	2	`x`
99.9%	2	`y`
99.9%	2	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
99.9%	2	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes7.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x))))

Outputs

#s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x))))

(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 y y) #s(literal -1/48 binary64)) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))

Calls

4 calls:

2.0ms	x
2.0ms	y
1.0ms	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
1.0ms	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`y`
99.4%	2	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
99.4%	2	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes6.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) #s(literal 1/2 binary64))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))

Outputs

(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 y y) #s(literal -1/48 binary64)) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))

Calls

4 calls:

2.0ms	x
1.0ms	y
1.0ms	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
1.0ms	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))

Results

Accuracy	Segments	Branch
95.6%	1	`y`
95.6%	1	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
95.6%	1	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`
95.6%	1	`x`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes7.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))

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

Outputs

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

Calls

4 calls:

2.0ms	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
2.0ms	x
1.0ms	y
1.0ms	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))

Results

Accuracy	Segments	Branch
95.4%	1	`x`
95.4%	1	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
95.4%	1	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`
95.4%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes5.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))

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

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
1.0ms	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))

Results

Accuracy	Segments	Branch
95.2%	1	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
95.2%	1	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`
95.2%	1	`x`
95.2%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
1.0ms	(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))

Results

Accuracy	Segments	Branch
93.7%	1	`x`
93.7%	1	`y`
93.7%	1	`(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))`
93.7%	1	`(/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.49999999999999994	0.5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch16.0ms (0.3%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-3.0644137886289157e-16	-8.18901090637144e-18

Samples

9.0ms

112×

valid

Compiler

Compiled 399 to 301 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 3.0ms (45.9% of total)

ival-div: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

ival-log: 1.0ms (15.3% of total)

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

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

simplify69.0ms (1.4%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	75	269
1	103	269
2	154	269
3	220	266
4	286	260
5	386	254
6	945	253
7	2404	253
8	4495	253

Stop Event

1×	node limit

Calls

Call 1

Inputs
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 y)) (exp.f64 (+.f64 x y))) #s(literal 1 binary64))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 y x)))))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
(-.f64 (+.f64 y x) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(if (<=.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))) #s(literal 9007199254740991/18014398509481984 binary64)) #s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x)))) #s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 y (log1p.f64 (exp.f64 y)))))
(if (<=.f64 x #s(literal -8924260225606735/81129638414606681695789005144064 binary64)) #s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x)))) (log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64))))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) #s(literal 1/2 binary64))))

Outputs
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 y)) (exp.f64 (+.f64 x y))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 y)) (exp.f64 (+.f64 x y)))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 y) (exp.f64 x))) (neg.f64 (exp.f64 (+.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 y) (exp.f64 x)) #s(literal -1 binary64)) (exp.f64 (+.f64 y x))))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))))
(-.f64 (+.f64 y x) (log.f64 (+.f64 (exp.f64 y) (exp.f64 x))))
(if (<=.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 (exp.f64 x) (exp.f64 y))) #s(literal 9007199254740991/18014398509481984 binary64)) #s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x)))) #s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 y (log1p.f64 (exp.f64 y)))))
(if (<=.f64 x #s(literal -8924260225606735/81129638414606681695789005144064 binary64)) #s(approx (- (log (/ (neg (exp (+ y x))) -1)) (log (+ (exp y) (exp x)))) (-.f64 x (log1p.f64 (exp.f64 x)))) (log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64))))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 y y) #s(literal -1/48 binary64)) (.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 y y) #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (exp (+ x y)) (+ (exp x) (exp y))) #s(approx (/ (exp y) (+ 1 (exp y))) #s(literal 1/2 binary64))))

soundness746.0ms (14.8%)

Memory

-50.4MiB live, 26.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	265	1713
1	802	1641
2	2817	1625
0	8317	1530
0	34	184
0	57	174
1	233	150
2	1812	150
0	8309	150
0	784	4148
1	2377	3703
0	8328	3472
0	9	35
0	16	35
1	54	34
2	367	34
3	3851	34
0	8722	34

Stop Event

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

Compiler

Compiled 585 to 271 computations (53.7% saved)

preprocess71.0ms (1.4%)

Memory: 44.8MiB live, 44.8MiB allocated
Compiler: Compiled 998 to 390 computations (60.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (34.6%)

explain227.0ms (4.5%)

preprocess71.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize30.0ms (0.6%)

series177.0ms (3.5%)

simplify151.0ms (3%)

rewrite191.0ms (3.8%)

eval70.0ms (1.4%)

prune14.0ms (0.3%)

simplify152.0ms (3%)

localize366.0ms (7.3%)

series253.0ms (5%)

simplify160.0ms (3.2%)

rewrite205.0ms (4.1%)

eval197.0ms (3.9%)

prune28.0ms (0.6%)

regimes17.0ms (0.3%)

regimes14.0ms (0.3%)

regimes15.0ms (0.3%)

regimes12.0ms (0.2%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch16.0ms (0.3%)

simplify69.0ms (1.4%)

soundness746.0ms (14.8%)

preprocess71.0ms (1.4%)

end0.0ms (0%)

Profiling