Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, F

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze88.0ms (0.9%)

Memory

28.5MiB live, 142.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	5
20.7%	18.7%	71.8%	0.1%	0%	9.4%	0%	6
34.5%	29.7%	56.2%	0.1%	0%	14%	0%	7
50.5%	42.1%	41.4%	0.1%	0%	16.4%	0%	8
61.4%	49.6%	31.2%	0.1%	0%	19.1%	0%	9
72.2%	57.4%	22%	0.1%	0%	20.5%	0%	10
79%	61.6%	16.4%	0.1%	0%	22%	0%	11
85.3%	65.9%	11.4%	0.1%	0%	22.7%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample2.0s (20.5%)

Memory

41.9MiB live, 2 507.2MiB allocated

Samples

1.2s	3 698×	1	valid
383.0ms	4 558×	0	valid
66.0ms	246×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-log: 666.0ms (53.9% of total)

ival-div: 184.0ms (14.9% of total)

ival-add: 148.0ms (12% of total)

ival-exp: 91.0ms (7.4% of total)

ival-mult: 83.0ms (6.7% of total)

adjust: 53.0ms (4.3% of total)

ival-true: 7.0ms (0.6% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain199.0ms (2.1%)

Memory

14.8MiB live, 377.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
171	33	(-6.566939499556779e+292 -2.0388729734794427e-258)	1	(4.457456721636008e-235 4.412821379448047e+84)	`(log.f64 (/.f64 x (+.f64 x y)))`
35	0	-	3	(6.266919732456048e+266 6.910628400454437e-47)	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`
0	0	-	0	-	`(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))`
0	0	-	0	-	`y`
0	0	-	0	-	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
0	0	-	0	-	`(/.f64 x (+.f64 x y))`
0	0	-	0	-	`(+.f64 x y)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	sensitivity	168	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	35	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	32
↳	`(/.f64 x (+.f64 x y))`	underflow	35
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	32	0

Confusion

	Predicted +	Predicted -
+	78	0
-	125	53

Precision

0.3842364532019704

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	125	0	53

Precision?

0.3842364532019704

Recall?

1.0

Freqs

test

number	freq
0	53
1	171
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms	260×	1	valid
28.0ms	66×	2	valid
17.0ms	186×	0	valid

Compiler

Compiled 105 to 28 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-log: 55.0ms (54.8% of total)

ival-div: 18.0ms (17.9% of total)

ival-exp: 9.0ms (9% of total)

ival-add: 6.0ms (6% of total)

adjust: 6.0ms (6% of total)

ival-mult: 6.0ms (6% of total)

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

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

preprocess98.0ms (1%)

Memory

-11.8MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Rules

628×	`div-sub`
418×	`times-frac`
414×	`associate-/r*`
290×	`distribute-lft-in`
288×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	65
1	60	51
2	125	49
3	333	49
4	702	49
5	1140	47
6	1569	47
7	2227	47
8	2558	47
9	2721	47
10	2951	47
11	3125	47
12	3254	47
13	3295	47
14	3295	47
15	3299	47
0	8	11
0	14	11
1	18	9
2	21	9
3	21	9
0	21	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify4.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (/.f64 x (+.f64 x y)))
cost-diff	0	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
cost-diff	0	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
cost-diff	6656	(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))

Rules

6×	`lower-exp.f32`
4×	`lift-/.f64`
4×	`exp-prod`
4×	`lower-pow.f64`
4×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	44
0	14	44
1	18	40
2	21	40
3	21	40
0	21	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize107.0ms (1.1%)

Memory

20.1MiB live, 132.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 x (+.f64 x y))
accuracy	0.01171875	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy	8.105779562472833	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy	39.71858662227577	(log.f64 (/.f64 x (+.f64 x y)))

Samples

51.0ms	93×	0	valid
31.0ms	130×	1	valid
13.0ms	33×	2	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-exp: 47.0ms (55.6% of total)

ival-log: 20.0ms (23.7% of total)

ival-div: 6.0ms (7.1% of total)

ival-mult: 5.0ms (5.9% of total)

ival-add: 3.0ms (3.5% of total)

adjust: 3.0ms (3.5% of total)

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

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

series32.0ms (0.3%)

Memory

-22.2MiB live, 59.5MiB allocated

Counts

5 → 120

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (log x) (log (/ 1 y))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 y)) (taylor inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) (taylor inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) (taylor inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) (taylor inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 y)) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) (taylor 0 y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (+ (log x) (log (/ 1 y))))) (taylor inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) (taylor inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) (taylor inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) (taylor inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (taylor -inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) (taylor -inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) (taylor -inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) (taylor -inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())

Calls

30 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(exp (* x (log (/ x (+ x y)))))
2.0ms	x	@	0	(* x (log (/ x (+ x y))))
2.0ms	x	@	inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	x	@	inf	(/ (exp (* x (log (/ x (+ x y))))) x)
2.0ms	x	@	-inf	(exp (* x (log (/ x (+ x y)))))

simplify218.0ms (2.3%)

Memory

-28.5MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 292×	`lower-fma.f64`
9 292×	`lower-fma.f32`
5 132×	`lower-*.f64`
5 132×	`lower-*.f32`
3 222×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	554	3180
1	1674	2655
2	5673	2574
0	8288	2445

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
1
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(exp (* x (+ (log x) (log (/ 1 y)))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))
(exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(/ (exp (* -1 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)
(/ (exp (* -1 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))))
(* -1 y)
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))))
(* -1 y)
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x)))
(* -1 y)
(* y (- (* 1/2 (/ y x)) 1))
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
(* x (+ (log x) (log (/ 1 y))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y)))))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))))
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (log x) (log (/ 1 y)))
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(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(* -1 (/ y x))
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x)
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x)
(* -1 (/ y x))
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(* -1 (/ y x))
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(+ (log x) (log (/ 1 y)))
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(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y))))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
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(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64))
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1
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(/ 1 x)
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(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(/.f64 (-.f64 y (/.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 30 binary64)) (.f64 (.f64 y y) (*.f64 y y))) x)) (neg.f64 x))) x)) (neg.f64 x))
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) y)
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(.f64 (fma.f64 (fma.f64 (/.f64 y (.f64 (.f64 x x) x)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y)
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) x))) y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y)
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))
(+.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (-.f64 (/.f64 (neg.f64 x) y) (log.f64 y))) (log.f64 x))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))))
(+.f64 (-.f64 (-.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 y y) y))) (/.f64 x y)) (log.f64 y)) (log.f64 x))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (neg.f64 x)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 x y)) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) x) y)) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y))))
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64))) y)) y)) (neg.f64 (log.f64 (neg.f64 y))))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x (/.f64 x y))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (-.f64 (/.f64 x (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 x x) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)) (/.f64 x (.f64 (.f64 y y) (.f64 y y)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y (.f64 y (/.f64 (neg.f64 y) x)) (.f64 y y)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y (.f64 y (/.f64 (neg.f64 y) x)) (.f64 y y)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 y (.f64 (*.f64 x x) x))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x (/.f64 x y)) x)) y) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x (/.f64 x y)) x)) y) (-.f64 x (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 y y) y)))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x (/.f64 x y)) x)) y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 x x (/.f64 (fma.f64 (.f64 (neg.f64 x) x) x (/.f64 (.f64 (.f64 (.f64 x x) x) x) y)) y))) y) x) y)

rewrite180.0ms (1.9%)

Memory

6.0MiB live, 202.1MiB allocated

Rules

4 200×	`lower-/.f32`
4 196×	`lower-/.f64`
3 466×	`lower-*.f32`
3 464×	`lower-*.f64`
1 982×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	39
0	14	39
1	48	35
2	276	35
3	2526	35
0	8637	35

Stop Event

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

Counts

5 → 358

Calls

Call 1

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

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

eval81.0ms (0.8%)

Memory: 29.0MiB live, 148.3MiB allocated
Compiler: Compiled 11 604 to 2 170 computations (81.3% saved)

prune102.0ms (1.1%)

Memory

19.2MiB live, 203.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	469	9	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	9	479

Accuracy

100.0%

Counts

479 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
▶	79.5%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	54.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	57.2%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	56.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
▶	75.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	71.1%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x))
▶	49.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	56.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))

Compiler

Compiled 248 to 150 computations (39.5% saved)

simplify180.0ms (1.9%)

Memory

-28.8MiB live, 198.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(pow.f64 (/.f64 x (+.f64 y x)) x)
cost-diff	0	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
cost-diff	320	(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	384	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
cost-diff	576	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
cost-diff	704	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
cost-diff	0	#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
cost-diff	0	(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
cost-diff	0	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)

Rules

9 578×	`lower-fma.f32`
9 574×	`lower-fma.f64`
2 480×	`lower-*.f32`
2 478×	`lower-*.f64`
1 200×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	223
0	53	223
1	69	215
2	96	215
3	178	215
4	320	212
5	544	212
6	1084	210
7	2235	210
8	4814	203
9	6464	203
10	7753	203
0	8044	199

Stop Event

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

Calls

Call 1

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

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

localize242.0ms (2.5%)

Memory

-0.7MiB live, 347.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	0.01171875	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
accuracy	18.447176703352813	(pow.f64 (/.f64 x (+.f64 y x)) x)
accuracy	0.6983093218581614	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	0.9928909373221333	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy	3.41623067223499	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
accuracy	29.039337948582816	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy	0	(/.f64 y x)
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
accuracy	27.881811736935184	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
accuracy	0.01171875	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
accuracy	15.556784800299495	#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
accuracy	0.01171875	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy	21.33947329817293	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))

Samples

83.0ms	130×	1	valid
29.0ms	33×	2	valid
20.0ms	93×	0	valid

Compiler

Compiled 187 to 30 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-div: 27.0ms (25.5% of total)

ival-log: 23.0ms (21.7% of total)

ival-pow: 16.0ms (15.1% of total)

adjust: 14.0ms (13.2% of total)

ival-add: 10.0ms (9.4% of total)

ival-mult: 9.0ms (8.5% of total)

ival-exp: 3.0ms (2.8% of total)

ival-sub: 2.0ms (1.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory

-5.7MiB live, 68.2MiB allocated

Counts

19 → 408

Calls

Call 1

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

Outputs
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* -1 y)) x) (taylor inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) (taylor inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) (taylor inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* -1 y)) x) (taylor -inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (taylor inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) (taylor inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) (taylor -inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) (taylor -inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) (taylor -inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) (taylor -inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (log x) (log (/ 1 y))))) (taylor 0 x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) (taylor 0 x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) (taylor 0 x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 y)) (taylor inf x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) (taylor inf x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) (taylor inf x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) (taylor inf x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 y)) (taylor -inf x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) (taylor 0 y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (exp (* x (+ (log x) (log (/ 1 y))))) (taylor inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) (taylor inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) (taylor inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) (taylor inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

102 calls:

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

simplify260.0ms (2.7%)

Memory

2.6MiB live, 251.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 370×	`lower-fma.f64`
9 370×	`lower-fma.f32`
5 400×	`lower-*.f64`
5 400×	`lower-*.f32`
3 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	9606
1	1717	8156
2	5752	7906
0	8447	7494

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 402

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(/ (exp (* -1 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)
(/ (exp (* -1 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
1
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
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(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) y)) #s(literal 1/6 binary64))) (.f64 x x)) (exp.f64 (neg.f64 y)) (fma.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y)))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)
(/.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y y) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 y y)) (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 30 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))))) (.f64 (.f64 x x) x)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) y)) #s(literal 1/6 binary64))) (*.f64 x x))) (exp.f64 (neg.f64 y)))) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(/.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 y y)) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 y y)) #s(literal 1/2 binary64) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) #s(literal -1/6 binary64))) x) (exp.f64 (neg.f64 y)))) x) (exp.f64 (neg.f64 y))) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 y y) (/.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) #s(literal -1/6 binary64)))) (exp.f64 (neg.f64 y)) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y y) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 30 binary64)) (.f64 (.f64 y y) (*.f64 y y))))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) x) (exp.f64 (neg.f64 y))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 (neg.f64 x) y) (/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))
(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (.f64 (.f64 y y) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 (neg.f64 x) y) (/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x)))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))
(fma.f64 (neg.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x))) (/.f64 x y) (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 x x) x)) (.f64 (.f64 y y) x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64)) x) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 y y) x) y))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x)))
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) y) (/.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(-.f64 (/.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 x x) x)) (.f64 y x))) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x)) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(-.f64 (/.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) x) x (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x x) x))) (.f64 y x)) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 x x) x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)))) x)) y)) y))
1
#s(literal 1 binary64)
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64))
(exp (* -1 y))
(exp.f64 (neg.f64 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(fma.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y)))
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(exp (* -1 y))
(exp.f64 (neg.f64 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
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(fma.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y y) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 y y)) (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 30 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))))) (.f64 (.f64 x x) x)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) y)) #s(literal 1/6 binary64))) (*.f64 x x))) (exp.f64 (neg.f64 y))))
(exp (* -1 y))
(exp.f64 (neg.f64 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(fma.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) (exp.f64 (neg.f64 y)) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) #s(literal -1/6 binary64))) (exp.f64 (neg.f64 y))) (neg.f64 x))) x))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 y))) (.f64 y y) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) #s(literal -1/6 binary64))) (exp.f64 (neg.f64 y))) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y y) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 30 binary64)) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(exp (* x (+ (log x) (log (/ 1 y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x) (.f64 (neg.f64 x) (.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x) (fma.f64 (neg.f64 x) (.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x))) (.f64 y y))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))
(fma.f64 (neg.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x))) (.f64 x (/.f64 x y)) (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 x x) x)) (.f64 y y)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64)) x) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (.f64 (.f64 y y) y))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x))))
(exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 x (/.f64 (neg.f64 x) y))))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 x x) x)) y)) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 x x))) (neg.f64 y)))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) x (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) x) x (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x x) x))) y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 x x) x)) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x))))) y)) (neg.f64 y)))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x (/.f64 x y))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (fma.f64 x (/.f64 x (.f64 (.f64 y y) y)) (/.f64 x (*.f64 (neg.f64 y) y))) x (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)) (/.f64 x (.f64 (.f64 y y) (.f64 y y)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y (.f64 y (/.f64 (neg.f64 y) x)) (.f64 y y)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y (.f64 y (/.f64 (neg.f64 y) x)) (.f64 y y)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 y (.f64 (*.f64 x x) x))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x (/.f64 x y)) x)) y) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x (/.f64 x y)) x)) y) (-.f64 x (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 y y) y)))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 x (/.f64 x y)) x)) y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 x x (/.f64 (fma.f64 (.f64 (neg.f64 x) x) x (/.f64 (.f64 (.f64 (.f64 x x) x) x) y)) y))) y) x) y)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

rewrite235.0ms (2.5%)

Memory

6.2MiB live, 155.1MiB allocated

Rules

5 028×	`lower-/.f32`
5 020×	`lower-fma.f32`
5 016×	`lower-fma.f64`
5 010×	`lower-/.f64`
3 236×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	197
0	53	185
1	217	185
2	1793	185
0	8239	181

Stop Event

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

Counts

19 → 557

Calls

Call 1

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

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

eval292.0ms (3.1%)

Memory: -8.8MiB live, 269.5MiB allocated
Compiler: Compiled 24 153 to 2 299 computations (90.5% saved)

prune220.0ms (2.3%)

Memory

24.3MiB live, 258.1MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	972	13	985
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	977	17	994

Accuracy

100.0%

Counts

994 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.4%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
	39.2%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	79.5%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	54.4%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	56.4%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	75.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
▶	71.1%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x))
	48.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (.f64 #s(literal 1/2 binary64) y)) (.f64 x x))) y (/.f64 #s(literal 1 binary64) x)))
	58.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	63.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
	38.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
	56.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
▶	4.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
▶	37.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))))
▶	61.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	5.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) y)))
	10.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 y (/.f64 y (*.f64 x x))) #s(literal 1/2 binary64))))

Compiler

Compiled 435 to 245 computations (43.7% saved)

simplify174.0ms (1.8%)

Memory

26.6MiB live, 252.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))))
cost-diff	384	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 x (*.f64 y x))
cost-diff	0	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
cost-diff	1024	(/.f64 (-.f64 x (*.f64 y x)) x)
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
cost-diff	0	(/.f64 (+.f64 y x) x)
cost-diff	0	(pow.f64 (/.f64 (+.f64 y x) x) x)
cost-diff	0	(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x))

Rules

12 338×	`lower-fma.f32`
12 332×	`lower-fma.f64`
3 386×	`lower-*.f32`
3 376×	`lower-*.f64`
2 574×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	379
0	71	379
1	111	365
2	177	347
3	350	347
4	1123	339
5	4329	335
6	7579	321
0	8154	313

Stop Event

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

Calls

Call 1

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

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

localize470.0ms (4.9%)

Memory

-40.6MiB live, 257.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (.f64 y y) #s(literal 1/2 binary64))
accuracy	4.105464621660412	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64)))
accuracy	16.94549710343932	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))
accuracy	22.323158680335432	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))))
accuracy	0.00390625	(-.f64 x (*.f64 y x))
accuracy	0.01171875	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
accuracy	3.1086837789733153	(/.f64 (-.f64 x (*.f64 y x)) x)
accuracy	20.373029345641346	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
accuracy	1.2021698905671976	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
accuracy	10.21312821236446	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
accuracy	22.323158680335432	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
accuracy	0	(/.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	20.373029345641346	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
accuracy	34.305094085470365	#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
accuracy	0.00390625	(/.f64 (+.f64 y x) x)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x))
accuracy	0.01171875	(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)
accuracy	13.599628663558065	(pow.f64 (/.f64 (+.f64 y x) x) x)

Samples

105.0ms	132×	0	valid
101.0ms	93×	1	valid
14.0ms	19×	1	exit
4.0ms	12×	0	exit

Compiler

Compiled 265 to 46 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-div: 29.0ms (27.2% of total)

ival-mult: 19.0ms (17.8% of total)

ival-pow: 15.0ms (14.1% of total)

ival-log: 15.0ms (14.1% of total)

ival-add: 13.0ms (12.2% of total)

adjust: 8.0ms (7.5% of total)

ival-exp: 3.0ms (2.8% of total)

ival-sub: 3.0ms (2.8% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.8%)

Memory

2.9MiB live, 82.2MiB allocated

Counts

22 → 480

Calls

Call 1

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

Outputs
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (+ (* -1 (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 4) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* 1/6 (/ (pow x 5) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/3 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (pow y 3))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* 1/2 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) #<representation binary64>) () ())) ())
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#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2)) (taylor inf y) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2)) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow y 2) (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 y) 1) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 y) 1) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 y) 1) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1/2 (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1/2 (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1/2 (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1/2))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1/2))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1/2))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

120 calls:

Time	Variable		Point	Expression
14.0ms	y	@	0	(/ (+ (* (+ (* 1/2 y) -1) y) 1) x)
3.0ms	x	@	inf	(/ 1 (* (pow (/ (+ y x) x) x) x))
2.0ms	y	@	inf	(/ 1 (* (pow (/ (+ y x) x) x) x))
2.0ms	y	@	-inf	(/ 1 (* (pow (/ (+ y x) x) x) x))
1.0ms	x	@	0	(/ 1 (* (pow (/ (+ y x) x) x) x))

simplify208.0ms (2.2%)

Memory

19.5MiB live, 334.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 406×	`lower-fma.f64`
10 406×	`lower-fma.f32`
6 970×	`lower-*.f64`
6 970×	`lower-*.f32`
5 476×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	810	9878
1	2601	8701
0	8389	8246

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 476

Calls

Call 1

Inputs
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (+ (* -1 (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 4) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* 1/6 (/ (pow x 5) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/3 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (pow y 3))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* 1/2 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))))))
(/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))
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(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2))
(* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2))
(* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2))))))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
-1
(- (* 1/2 y) 1)
(- (* 1/2 y) 1)
(- (* 1/2 y) 1)
(* 1/2 y)
(* y (- 1/2 (/ 1 y)))
(* y (- 1/2 (/ 1 y)))
(* y (- 1/2 (/ 1 y)))
(* 1/2 y)
(* -1 (* y (- (/ 1 y) 1/2)))
(* -1 (* y (- (/ 1 y) 1/2)))
(* -1 (* y (- (/ 1 y) 1/2)))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
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(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))
(/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)) x))
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(/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))
(/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) x))
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) x)) (/.f64 x (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) y)))
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* 1/2 (/ (pow x 4) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x)
(/.f64 (fma.f64 (neg.f64 x) (-.f64 (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)
(/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (-.f64 (log.f64 y) (log.f64 x)))) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (fma.f64 (neg.f64 (-.f64 (log.f64 y) (log.f64 x))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 y) y)) (/.f64 (log.f64 x) y)))) x (neg.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) x (neg.f64 (-.f64 (log.f64 y) (log.f64 x)))) x #s(literal 1 binary64)) x)
(/ 1 (* x (exp y)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x)
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(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (neg.f64 y) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (neg.f64 y) #s(literal -1 binary64))) (neg.f64 x))
-1
#s(literal -1 binary64)
(- (* 1/2 y) 1)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
(- (* 1/2 y) 1)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
(- (* 1/2 y) 1)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (- 1/2 (/ 1 y)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) y)
(* y (- 1/2 (/ 1 y)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) y)
(* y (- 1/2 (/ 1 y)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (/ 1 y) 1/2)))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)))
(* -1 (* y (- (/ 1 y) 1/2)))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)))
(* -1 (* y (- (/ 1 y) 1/2)))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))

rewrite199.0ms (2.1%)

Memory

-22.2MiB live, 315.9MiB allocated

Rules

4 888×	`lower-/.f32`
4 874×	`lower-/.f64`
3 780×	`lower-*.f32`
3 770×	`lower-*.f64`
3 210×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	339
0	71	335
1	323	316
2	2799	315
0	8513	303

Stop Event

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

Counts

22 → 771

Calls

Call 1

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

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

eval178.0ms (1.9%)

Memory: 0.2MiB live, 471.1MiB allocated
Compiler: Compiled 29 881 to 3 056 computations (89.8% saved)

prune307.0ms (3.2%)

Memory

24.5MiB live, 337.9MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 301	22	1 323
Fresh	5	4	9
Picked	2	3	5
Done	0	3	3
Total	1 308	32	1 340

Accuracy

100.0%

Counts

1 340 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.4%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
	39.2%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	79.5%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	54.4%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
▶	56.4%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	75.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
✓	71.1%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x))
	55.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
▶	60.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
	60.3%	(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) y x)))
▶	61.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x)))
	58.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
	38.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x)))
	38.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x y x) (fma.f64 (neg.f64 y) x x)) (fma.f64 x y x)) x) x))
	35.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) y)) (.f64 x x)) x))
	35.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (.f64 (fma.f64 x y x) (fma.f64 (neg.f64 y) x x)) (.f64 x (fma.f64 x y x))) x))
	10.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x))
	15.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y x) (.f64 x x)) (fma.f64 (neg.f64 y) x x)) (.f64 (.f64 x x) (fma.f64 (.f64 x y) (fma.f64 x y x) (*.f64 x x)))))
	5.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) x)))
✓	4.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	4.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
✓	61.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
▶	57.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64))))))
	61.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))) y #s(literal 1 binary64)) x)))
	61.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 #s(approx (+ (* 1/2 y) -1) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64)) x)))
	59.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x) x)))
	24.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))))
	40.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) (.f64 x x))))
	7.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) (*.f64 x x))))
	8.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))))
	9.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
▶	61.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1 069 to 519 computations (51.4% saved)

simplify234.0ms (2.4%)

Memory

5.1MiB live, 202.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)))))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64))))))
cost-diff	2112	(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64))))
cost-diff	0	(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
cost-diff	320	(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	(fma.f64 y x x)
cost-diff	0	#s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x)))

Rules

15 958×	`lower-fma.f32`
15 944×	`lower-fma.f64`
3 366×	`lower-*.f32`
3 358×	`lower-*.f64`
1 986×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	441
0	77	402
1	132	386
2	247	386
3	759	378
4	2388	370
5	6127	370
0	8414	366

Stop Event

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

Calls

Call 1

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

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

localize349.0ms (3.6%)

Memory

-31.9MiB live, 257.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.759618899563164	(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)))
accuracy	8.880975367430498	(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64))))
accuracy	10.21312821236446	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)))))
accuracy	22.323158680335432	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64))))))
accuracy	0.01171875	(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
accuracy	0.046875	(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64))
accuracy	19.954152197865618	#s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	1.2138886405671976	(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	10.21312821236446	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
accuracy	22.323158680335432	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
accuracy	20.501147438838437	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
accuracy	0	(fma.f64 y x x)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x)))
accuracy	16.99475633316059	#s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x))

Samples

144.0ms	94×	1	valid
52.0ms	131×	0	valid
17.0ms	19×	1	exit
4.0ms	12×	0	exit

Compiler

Compiled 294 to 49 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-div: 46.0ms (25.2% of total)

adjust: 45.0ms (24.6% of total)

ival-pow: 29.0ms (15.9% of total)

ival-mult: 24.0ms (13.1% of total)

ival-add: 18.0ms (9.9% of total)

ival-log: 15.0ms (8.2% of total)

ival-exp: 3.0ms (1.6% of total)

ival-sub: 3.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory

5.5MiB live, 42.4MiB allocated

Counts

21 → 456

Calls

Call 1

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

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

Calls

114 calls:

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

simplify248.0ms (2.6%)

Memory

1.1MiB live, 273.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 182×	`lower-fma.f64`
11 182×	`lower-fma.f32`
7 182×	`lower-*.f64`
7 182×	`lower-*.f32`
5 996×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	892	12015
1	2824	10675
0	8635	10052

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 451

Calls

Call 1

Inputs
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (+ (* -1 (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 4) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* 1/6 (/ (pow x 5) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/3 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (pow y 3))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* 1/2 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))))))
(/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* 1/2 (/ (pow x 4) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
(/ 1 x)
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)
(/ 1 (* x (exp y)))
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x)
(/ 1 (* x (exp y)))
(* -1 (/ (- (* -1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))) (+ (* 1/48 (/ (pow y 6) (exp y))) (+ (* 1/6 (/ (pow y 5) (exp y))) (* 1/4 (/ (pow y 4) (exp y))))))) x)) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y)))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x))
x
(+ x (* x y))
(+ x (* y (+ x (* x (* y (- 1/2 (* 1/2 (/ 1 x))))))))
(+ x (* y (+ x (* y (+ (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) (* x (- 1/2 (* 1/2 (/ 1 x)))))))))
(* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))
(+ (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (/ (* (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) y))
(+ (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (/ (* x (* (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) (pow y 2)) (/ (* (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) y)))
(+ (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (/ (* x (* (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) (pow y 2)) (+ (/ (* x (* (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (+ (* -1/2 (pow x 5)) (+ (* 1/6 (pow x 6)) (* 1/3 (pow x 4)))))) (pow y 3)) (/ (* (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) y))))
(* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))
(+ (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (/ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y))
(+ (* -1 (/ (+ (* -1 (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y))) y)) (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))
(+ (* -1 (/ (+ (* -1 (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5)))))) y)) (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))))) y))) y)) (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))
x
(* x (+ 1 (* x (+ (log y) (* -1 (log x))))))
(* x (+ 1 (* x (+ (log y) (+ (* -1 (log x)) (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))))
(* x (+ 1 (* x (+ (log y) (+ (* -1 (log x)) (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* x (- (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))))))
(* x (exp y))
(* x (+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))))
(* x (+ (exp y) (+ (* -1/2 (/ (* (pow y 2) (exp y)) x)) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2)))))
(* x (+ (exp y) (+ (* -1/2 (/ (* (pow y 2) (exp y)) x)) (+ (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3)) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))))))
(* x (exp y))
(* -1 (* x (+ (* -1 (exp y)) (* 1/2 (/ (* (pow y 2) (exp y)) x)))))
(* -1 (* x (+ (* -1 (exp y)) (* -1 (/ (+ (* -1/2 (* (pow y 2) (exp y))) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) x)) x)))))
(* -1 (* x (+ (* -1 (exp y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) x)) (* -1/2 (* (pow y 2) (exp y)))) x)))))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(/ (exp (* -1 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)
(/ (exp (* -1 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
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(* y (- (+ 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (+ 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- 1/2 (* 1/2 (/ 1 x))))
(* -1 (* y (- (* -1 (- 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* -1 (* y (- (* -1 (- 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* -1 (* y (- (* -1 (- 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(* -1 x)
(+ (* -1 x) (* -1 (* x y)))
(+ (* -1 x) (* y (+ (* -1 x) (* 1/2 (* x y)))))
(+ (* -1 x) (* y (+ (* -1 x) (* 1/2 (* x y)))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (* 1/2 x))))
(* (pow y 2) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (* 1/2 x))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ (+ x (/ x y)) y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ (+ x (/ x y)) y)) (* 1/2 x)))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))
(/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)) x))
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)) x)) (/.f64 x (.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)) y)))
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)) x)) (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x))) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x x) x) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)))) (.f64 y y))) (/.f64 x (.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)) y)))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (+ (* -1 (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 4) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* 1/6 (/ (pow x 5) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/3 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (pow y 3))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* 1/2 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)) x)) (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x))) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x x) x) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x))) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x))) #s(literal 1/3 binary64)))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) x))) x) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x))))) (.f64 (.f64 y y) y))) (-.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 y y) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)))) #s(literal 1/2 binary64) (/.f64 x (.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 x)) x)) y)))) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 x)) x))))))
(/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))
(/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) x))
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) x)) (/.f64 x (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) y)))
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) x)) (/.f64 (+.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) y)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) y)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x x) x) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) y))) (/.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)))) y))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* 1/2 (/ (pow x 4) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) x)) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) y)) #s(literal -1/6 binary64) (fma.f64 (.f64 x x) (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x))) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)) (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)))) (/.f64 (.f64 (.f64 x x) x) (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)))) y) (fma.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) x))) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) y)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) y)) #s(literal 1/2 binary64)))))) (-.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x))) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)) (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)))) (/.f64 (.f64 (.f64 x x) x) (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x))))) (neg.f64 y)) (/.f64 x (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)))) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x)
(/.f64 (fma.f64 (neg.f64 x) (-.f64 (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)
(/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (-.f64 (log.f64 y) (log.f64 x)))) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (fma.f64 (neg.f64 (-.f64 (log.f64 y) (log.f64 x))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 y) y)) (/.f64 (log.f64 x) y)))) x (neg.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) x (neg.f64 (-.f64 (log.f64 y) (log.f64 x)))) x #s(literal 1 binary64)) x)
(/ 1 (* x (exp y)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x)
(/.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (exp.f64 y) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (exp.f64 y)) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/3 binary64)) (exp.f64 y))) (.f64 (neg.f64 x) x)) (fma.f64 (/.f64 (.f64 y y) (.f64 (exp.f64 y) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x)
(/.f64 (-.f64 (-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (exp.f64 y)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (exp.f64 y)) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (exp.f64 y)) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/3 binary64)) (exp.f64 y))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/3 binary64))) (exp.f64 y)))) (/.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/6 binary64)) (exp.f64 y))))) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (.f64 y y) (.f64 (exp.f64 y) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (exp.f64 y) x) x)) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/3 binary64)) (.f64 (.f64 (exp.f64 y) x) x))))) x)
(/ 1 (* x (exp y)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(* -1 (/ (- (* -1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x))
(/.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (exp.f64 y) x)) #s(literal -1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x))
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(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
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(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y x))) y)) (.f64 y y))
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (* (pow y 2) (+ 1 (* -1 y))) 1)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y) #s(literal -1 binary64))
(- (* (pow y 2) (+ 1 (* y (- (* 1/4 y) 1)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (*.f64 y y) #s(literal -1 binary64))
(* 1/4 (pow y 4))
(*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- 1/4 (/ 1 y)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ 1/4 (/ 1 (pow y 2))) (/ 1 y)))
(.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ 1/4 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 4)))))
(.f64 (-.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/4 (pow y 4))
(*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- 1/4 (/ 1 y)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 y)) y))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 1/4 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow y 2))) y))) y))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) y)) y)) (pow.f64 y #s(literal 4 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1/2 (/ y x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/ (+ (* -1/2 y) (* x (+ 1 (* 1/2 y)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) y)) x)
(/ (+ (* -1/2 y) (* x (+ 1 (* 1/2 y)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) y)) x)
(/ (+ (* -1/2 y) (* x (+ 1 (* 1/2 y)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) y)) x)
(+ 1 (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ y x)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ y x)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ y x)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
(+ 1 (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ y x)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ y x)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ y x)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* y (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64))
(+ 1 (* y (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64))
(+ 1 (* y (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64))
(* y (- 1/2 (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y)
(* y (- (+ 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y)
(* y (- (+ 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y)
(* y (- (+ 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y)
(* y (- 1/2 (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y)
(* -1 (* y (- (* -1 (- 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(*.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* -1 (* y (- (* -1 (- 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(*.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* -1 (* y (- (* -1 (- 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(*.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* x (- (* y (- (* 1/2 y) 1)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1 (* x y)))
(neg.f64 (fma.f64 y x x))
(+ (* -1 x) (* y (+ (* -1 x) (* 1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y (neg.f64 x))
(+ (* -1 x) (* y (+ (* -1 x) (* 1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y (neg.f64 x))
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)
(* (pow y 2) (+ (* -1 (/ x y)) (* 1/2 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 x) y)) y) y)
(* (pow y 2) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (* 1/2 x))))
(.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (.f64 (neg.f64 y) y))) (/.f64 x y)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (* 1/2 x))))
(.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (.f64 (neg.f64 y) y))) (/.f64 x y)) (*.f64 y y))
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)
(* (pow y 2) (+ (* -1 (/ x y)) (* 1/2 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 x) y)) y) y)
(* (pow y 2) (+ (* -1 (/ (+ x (/ x y)) y)) (* 1/2 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)) y) y)
(* (pow y 2) (+ (* -1 (/ (+ x (/ x y)) y)) (* 1/2 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)) y) y)

rewrite189.0ms (2%)

Memory

27.9MiB live, 255.4MiB allocated

Rules

5 134×	`lower-/.f32`
5 122×	`lower-/.f64`
4 072×	`lower-*.f32`
4 064×	`lower-*.f64`
3 418×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	393
0	77	334
1	366	334
2	2995	334
0	8876	322

Stop Event

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

Counts

21 → 616

Calls

Call 1

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

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

eval133.0ms (1.4%)

Memory: 3.1MiB live, 234.3MiB allocated
Compiler: Compiled 33 503 to 2 023 computations (94% saved)

prune186.0ms (1.9%)

Memory

-10.7MiB live, 330.2MiB allocated

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	1 055	12	1 067
Fresh	5	16	21
Picked	2	3	5
Done	0	6	6
Total	1 062	37	1 099

Accuracy

100.0%

Counts

1 099 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.4%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
	39.2%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	79.5%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	54.4%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
✓	56.4%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	75.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
✓	71.1%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x))
	55.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
✓	60.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
	64.0%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))) x))
	60.0%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y)) y #s(literal 1 binary64))) x))
	6.6%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) #s(approx (+ ( (+ (* (- 1/2 (/ 1/2 x)) y) 1) y) 1) (.f64 (/.f64 (.f64 y y) x) #s(literal -1/2 binary64)))) x))
	10.5%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) #s(approx (+ ( (+ (* (- 1/2 (/ 1/2 x)) y) 1) y) 1) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 y y)))) x))
	10.7%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) #s(approx (+ ( (+ (* (- 1/2 (/ 1/2 x)) y) 1) y) 1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) y))) x))
	60.3%	(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) y x)))
✓	61.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x)))
	24.5%	(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (/.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x y) y) x (.f64 x (-.f64 x (.f64 x y)))))))
	61.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (+.f64 (*.f64 x y) x)))
	8.2%	(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) #s(approx (+ (* y x) x) (*.f64 y x))))
	58.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
	38.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x)))
	38.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x y x) (fma.f64 (neg.f64 y) x x)) (fma.f64 x y x)) x) x))
	35.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) y)) (.f64 x x)) x))
	35.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (.f64 (fma.f64 x y x) (fma.f64 (neg.f64 y) x x)) (.f64 x (fma.f64 x y x))) x))
	10.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x))
	15.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y x) (.f64 x x)) (fma.f64 (neg.f64 y) x x)) (.f64 (.f64 x x) (fma.f64 (.f64 x y) (fma.f64 x y x) (*.f64 x x)))))
✓	4.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	4.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
✓	61.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	59.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) #s(approx (* x (+ (* (+ (* 1/2 y) -1) y) -1)) (neg.f64 (fma.f64 y x x))))))
	61.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 #s(approx (+ (* 1/2 y) -1) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64)) x)))
	59.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x) x)))
	8.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x))))
	7.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) (*.f64 x x))))
	9.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
	57.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (* (+ (* 1/2 y) -1) y) (* (+ (* 1/2 y) -1) y)) -1) (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y y) #s(literal -1 binary64))) (.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64))))))
	9.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 #s(approx (+ ( (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) y)) (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1 484 to 505 computations (66% saved)

regimes50.0ms (0.5%)

Memory

6.9MiB live, 83.8MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

16.0ms	y
16.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
15.0ms	x

Results

Accuracy	Segments	Branch
98.8%	3	`x`
84.2%	3	`y`
92.8%	5	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes349.0ms (3.6%)

Memory

0.8MiB live, 42.1MiB allocated

Counts

52 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

333.0ms	x
13.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
79.2%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
87.4%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes26.0ms (0.3%)

Memory

-11.4MiB live, 26.9MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
86.7%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes37.0ms (0.4%)

Memory

-17.0MiB live, 21.6MiB allocated

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
86.2%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
86.2%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

-7.4MiB live, 31.1MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x)))

Calls

2 calls:

8.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
75.8%	1	`y`
82.5%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-33.6MiB live, 7.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
79.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Accuracy

Total -47.3b remaining (-305.8%)

Threshold costs -47.3b (-305.8%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.8%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
75.8%	1	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch43.0ms (0.4%)

Memory

19.3MiB live, 56.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.9132742471661974	3382.663182949141
23.0ms	-62946.9397981574	-0.31848634803564274

Samples

19.0ms	272×	0	valid
8.0ms	71×	0	invalid

Compiler

Compiled 288 to 200 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 5.0ms (30.8% of total)

ival-log: 4.0ms (24.6% of total)

ival-exp: 3.0ms (18.5% of total)

ival-add: 2.0ms (12.3% of total)

ival-mult: 2.0ms (12.3% of total)

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

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

bsearch38.0ms (0.4%)

Memory

-2.2MiB live, 35.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.110870613584579e-5	1.9132742471661974
6.0ms	-62946.9397981574	-0.31848634803564274

Samples

24.0ms	192×	0	valid
2.0ms	36×	0	invalid

Compiler

Compiled 709 to 436 computations (38.5% saved)

Precisions

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

ival-mult: 12.0ms (55.9% of total)

ival-div: 3.0ms (14% of total)

ival-log: 3.0ms (14% of total)

ival-exp: 2.0ms (9.3% of total)

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

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

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

bsearch7.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.110870613584579e-5	1.9132742471661974
1.0ms	-62946.9397981574	-0.31848634803564274

Samples

2.0ms	32×	0	valid
1.0ms	10×	0	invalid

Compiler

Compiled 592 to 373 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (53% of total)

ival-log: 1.0ms (53% of total)

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

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

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

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

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

bsearch26.0ms (0.3%)

Memory

-13.8MiB live, 24.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.110870613584579e-5	1.9132742471661974
24.0ms	-62946.9397981574	-0.31848634803564274

Samples

18.0ms	80×	0	valid
2.0ms	31×	0	invalid

Compiler

Compiled 430 to 265 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 14.0ms (79.5% of total)

ival-div: 2.0ms (11.4% of total)

ival-add: 1.0ms (5.7% of total)

ival-exp: 1.0ms (5.7% of total)

ival-mult: 1.0ms (5.7% of total)

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

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

bsearch17.0ms (0.2%)

Memory

-21.1MiB live, 23.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.110870613584579e-5	1.9132742471661974
1.0ms	-62946.9397981574	-0.31848634803564274

Samples

6.0ms	80×	0	valid
1.0ms	21×	0	invalid

Compiler

Compiled 403 to 247 computations (38.7% saved)

Precisions

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

ival-div: 1.0ms (20.9% of total)

ival-add: 1.0ms (20.9% of total)

ival-log: 1.0ms (20.9% of total)

ival-exp: 1.0ms (20.9% of total)

ival-mult: 1.0ms (20.9% of total)

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

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

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.110870613584579e-5	1.9132742471661974
1.0ms	-62946.9397981574	-0.31848634803564274

Compiler

Compiled 412 to 265 computations (35.7% saved)

bsearch11.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.110870613584579e-5	1.9132742471661974
1.0ms	-62946.9397981574	-0.31848634803564274

Samples

5.0ms	64×	0	valid
1.0ms	20×	0	invalid

Compiler

Compiled 358 to 238 computations (33.5% saved)

Precisions

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

ival-div: 1.0ms (25.6% of total)

ival-add: 1.0ms (25.6% of total)

ival-log: 1.0ms (25.6% of total)

ival-exp: 1.0ms (25.6% of total)

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

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

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

bsearch6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.110870613584579e-5	1.9132742471661974
5.0ms	-62946.9397981574	-0.31848634803564274

Samples

2.0ms	32×	0	valid
0.0ms	7×	0	invalid

Compiler

Compiled 358 to 229 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (53.4% of total)

ival-log: 1.0ms (53.4% of total)

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

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

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

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

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.110870613584579e-5	1.9132742471661974

Compiler

Compiled 169 to 112 computations (33.7% saved)

simplify14.0ms (0.1%)

Memory

-11.2MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
20×	`*-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	668
1	139	668
2	156	668
3	165	668
4	171	668
5	173	668

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -7836263351624663/9007199254740992 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 8782019273372467/4503599627370496 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 2116691824864133/2251799813685248 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) y x)))))
(if (<=.f64 x #s(literal -1080863910568919/2251799813685248 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (.f64 y x)) x) x)) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) y x)))))
(if (<=.f64 x #s(literal -1080863910568919/2251799813685248 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (.f64 y x)) x) x)) (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8016407336719483/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -7385903388887613/9007199254740992 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 #s(approx (+ (* 1/2 y) -1) (.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8016407336719483/18014398509481984 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal 8016407336719483/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

Outputs
(if (<=.f64 x #s(literal -7836263351624663/9007199254740992 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 8782019273372467/4503599627370496 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 2116691824864133/2251799813685248 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 2116691824864133/2251799813685248 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) y x)))))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) y x)))))
(if (<=.f64 x #s(literal -1080863910568919/2251799813685248 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (.f64 y x)) x) x)) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) y x)))))
(if (<=.f64 x #s(literal -1080863910568919/2251799813685248 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (.f64 y x)) x) x)) (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8016407336719483/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -7385903388887613/9007199254740992 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 #s(approx (+ (* 1/2 y) -1) (.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8016407336719483/18014398509481984 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal 8016407336719483/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ y x) x) x) x) (fma.f64 y x x))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

soundness1.3s (13.2%)

Memory

6.1MiB live, 1 042.7MiB allocated

Rules

11 182×	`lower-fma.f64`
11 182×	`lower-fma.f32`
10 406×	`lower-fma.f64`
10 406×	`lower-fma.f32`
9 370×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	810	9878
1	2601	8701
0	8389	8246
0	8	39
0	14	39
1	48	35
2	276	35
3	2526	35
0	8637	35
0	892	12015
1	2824	10675
0	8635	10052
0	563	9606
1	1717	8156
2	5752	7906
0	8447	7494
0	33	197
0	53	185
1	217	185
2	1793	185
0	8239	181
0	554	3180
1	1674	2655
2	5673	2574
0	8288	2445

Stop Event

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

Compiler

Compiled 624 to 275 computations (55.9% saved)

preprocess82.0ms (0.9%)

Memory: -21.3MiB live, 176.7MiB allocated
Compiler: Compiled 796 to 216 computations (72.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze88.0ms (0.9%)

sample2.0s (20.5%)

explain199.0ms (2.1%)

preprocess98.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize107.0ms (1.1%)

series32.0ms (0.3%)

simplify218.0ms (2.3%)

rewrite180.0ms (1.9%)

eval81.0ms (0.8%)

prune102.0ms (1.1%)

simplify180.0ms (1.9%)

localize242.0ms (2.5%)

series58.0ms (0.6%)

simplify260.0ms (2.7%)

rewrite235.0ms (2.5%)

eval292.0ms (3.1%)

prune220.0ms (2.3%)

simplify174.0ms (1.8%)

localize470.0ms (4.9%)

series72.0ms (0.8%)

simplify208.0ms (2.2%)

rewrite199.0ms (2.1%)

eval178.0ms (1.9%)

prune307.0ms (3.2%)

simplify234.0ms (2.4%)

localize349.0ms (3.6%)

series43.0ms (0.4%)

simplify248.0ms (2.6%)

rewrite189.0ms (2%)

eval133.0ms (1.4%)

prune186.0ms (1.9%)

regimes50.0ms (0.5%)

regimes349.0ms (3.6%)

regimes26.0ms (0.3%)

regimes37.0ms (0.4%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes15.0ms (0.2%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch43.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch7.0ms (0.1%)

bsearch26.0ms (0.3%)

bsearch17.0ms (0.2%)

bsearch2.0ms (0%)

bsearch11.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

simplify14.0ms (0.1%)

soundness1.3s (13.2%)

preprocess82.0ms (0.9%)

end0.0ms (0%)

Profiling