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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze70.0ms (0.7%)

Memory

12.5MiB live, 127.3MiB 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 (20.1%)

Memory

20.1MiB live, 2 220.5MiB allocated

Samples

1.2s	3 649×	1	valid
394.0ms	4 607×	0	valid
17.0ms	262×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-log: 683.0ms (53.7% of total)

ival-div: 202.0ms (15.9% of total)

ival-mult: 103.0ms (8.1% of total)

adjust: 94.0ms (7.4% of total)

ival-add: 90.0ms (7.1% of total)

ival-exp: 90.0ms (7.1% of total)

ival-true: 7.0ms (0.5% of total)

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

Bogosity

explain204.0ms (2.1%)

Memory

9.1MiB live, 373.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
166	23	(-4.48853872122646e+305 3.4375487374316935e-289)	2	(4.546454148163086e-95 2.781278745323865e+223)	`(log.f64 (/.f64 x (+.f64 x y)))`
26	0	-	3	(-5.619947259202643e+36 -8.803587951598521e-279)	`(*.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	171	1
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	23	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	16	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	23
↳	`(/.f64 x (+.f64 x y))`	underflow	16

Confusion

	Predicted +	Predicted -
+	64	0
-	123	69

Precision

0.3422459893048128

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	123	1	68

Precision?

0.3404255319148936

Recall?

1.0

Freqs

test

number	freq
0	69
1	164
2	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms	272×	1	valid
27.0ms	58×	2	valid
15.0ms	182×	0	valid

Compiler

Compiled 105 to 28 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-log: 42.0ms (53.2% of total)

ival-div: 13.0ms (16.5% of total)

ival-exp: 7.0ms (8.9% of total)

adjust: 6.0ms (7.6% of total)

ival-mult: 6.0ms (7.6% of total)

ival-add: 5.0ms (6.3% of total)

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

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

preprocess94.0ms (1%)

Memory

-3.4MiB live, 35.6MiB 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 x y)) 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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.6%	(/.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

6.8MiB live, 6.8MiB 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 x y)) x) x)
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(pow.f64 (/.f64 x (+.f64 x y)) x)
(*.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

localize113.0ms (1.2%)

Memory

-5.4MiB live, 115.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 x (+.f64 x y))
accuracy	0.015625	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy	5.791441274146781	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy	38.13486517593548	(log.f64 (/.f64 x (+.f64 x y)))

Samples

66.0ms	136×	1	valid
24.0ms	91×	0	valid
12.0ms	29×	2	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-log: 20.0ms (51.8% of total)

ival-div: 7.0ms (18.1% of total)

ival-add: 3.0ms (7.8% of total)

adjust: 3.0ms (7.8% of total)

ival-exp: 3.0ms (7.8% of total)

ival-mult: 3.0ms (7.8% of total)

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

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

series25.0ms (0.3%)

Memory

-18.0MiB live, 59.2MiB 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>) () ())) ())
#s(alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) 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
2.0ms	y	@	0	(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)))))
2.0ms	x	@	-inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	y	@	inf	(exp (* x (log (/ x (+ x y)))))

simplify313.0ms (3.2%)

Memory

-22.3MiB live, 476.6MiB 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)))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(+ (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)
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(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) #s(literal 1 binary64))
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1
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(/ 1 x)
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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))))))
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(+ (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 (log.f64 x) (log.f64 y)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 y (.f64 y y))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 y y))) (/.f64 x y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (log.f64 (neg.f64 y))) (/.f64 x 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)) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) x) 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)) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) (.f64 x x))) y) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) x) y))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 x (/.f64 x (*.f64 y (neg.f64 y))) (/.f64 x y))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 x (fma.f64 x (/.f64 x (.f64 y (.f64 y y))) (/.f64 x (*.f64 y (neg.f64 y)))) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (.f64 x x) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 x (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x y))
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 y (/.f64 (neg.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 (/.f64 (fma.f64 y y (/.f64 (.f64 y (.f64 y (neg.f64 y))) x)) x) y) 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 y (/.f64 (neg.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 (/.f64 (fma.f64 y y (/.f64 (.f64 y (.f64 y (neg.f64 y))) x)) x) y) 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 y (/.f64 (neg.f64 y) x) y) x))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 y (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) y) (*.f64 x x)) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (+.f64 (-.f64 x (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) y) (.f64 x x)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(neg.f64 (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) y) (*.f64 x x)) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (+.f64 x (/.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) y) (.f64 x (*.f64 x x))) y))) y)) y)

rewrite217.0ms (2.2%)

Memory

40.5MiB live, 434.4MiB 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
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 x (fma.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64) (.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (+.f64 x x))) (.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (neg.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 x (.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) (.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))))
(exp.f64 (-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 (+.f64 x y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) 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 x y))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)))
(/.f64 (exp.f64 (.f64 x (log.f64 x))) (exp.f64 (.f64 x (log.f64 (+.f64 x y)))))
(/.f64 (exp.f64 (.f64 x (log.f64 (neg.f64 x)))) (exp.f64 (.f64 x (log.f64 (-.f64 (neg.f64 x) y)))))
(/.f64 (.f64 (exp.f64 (.f64 x (log.f64 x))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (log.f64 (+.f64 x y)))))
(/.f64 (neg.f64 (exp.f64 (.f64 x (log.f64 x)))) (neg.f64 (exp.f64 (.f64 x (log.f64 (+.f64 x y))))))
(/.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 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (+.f64 x y))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (.f64 x (+.f64 x y))))))
(/.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 (neg.f64 (.f64 (exp.f64 (.f64 x (log.f64 x))) #s(literal 1 binary64))) (neg.f64 (exp.f64 (*.f64 x (log.f64 (+.f64 x y))))))
(/.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 (neg.f64 (exp.f64 (.f64 x (log.f64 x))))) (neg.f64 (neg.f64 (exp.f64 (.f64 x (log.f64 (+.f64 x y)))))))
(pow.f64 (/.f64 x (+.f64 x y)) x)
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
(pow.f64 (exp.f64 x) (fma.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (.f64 (.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x))
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 x y) x)))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (*.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 x) (.f64 (log.f64 (.f64 x (+.f64 x y))) (log.f64 (/.f64 x (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x y)))))
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (/.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(.f64 (exp.f64 (.f64 x (log.f64 x))) (exp.f64 (*.f64 x (neg.f64 (log.f64 (+.f64 x y))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.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 (exp.f64 (.f64 x (neg.f64 (log.f64 (+.f64 x y))))) (exp.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 x y) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 x x))
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
(.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 x y) (.f64 x (-.f64 x y))) (neg.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x)))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x)) (pow.f64 (neg.f64 x) x))
(.f64 (pow.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x))
(.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) x) (pow.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))) x))
(.f64 (pow.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (-.f64 x y) x))
(.f64 (pow.f64 (-.f64 x y) x) (pow.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 x y) (.f64 x (fma.f64 x (-.f64 x y) (.f64 y y)))) (neg.f64 x)))
(.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))) (exp.f64 (.f64 x (log.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))))
(.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))))) (exp.f64 (*.f64 x (log.f64 (-.f64 x y)))))
(*.f64 (pow.f64 #s(literal -1 binary64) x) (pow.f64 (neg.f64 (/.f64 x (+.f64 x y))) 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 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) x) (pow.f64 (.f64 x (fma.f64 x (-.f64 x y) (.f64 y y))) x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (*.f64 x (-.f64 x y)) 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 x y))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) x) (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) 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 (.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) x) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) x))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) x) (pow.f64 (-.f64 x y) x))
(.f64 (pow.f64 (/.f64 (neg.f64 x) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) x) (pow.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) x))
(.f64 (pow.f64 (/.f64 (neg.f64 x) (.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (neg.f64 (-.f64 x y)) x))
(.f64 (pow.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 y x))) x) (pow.f64 (-.f64 y x) x))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 x y) (.f64 y y)))) (neg.f64 x)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) x) (neg.f64 x)))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))) (neg.f64 x)))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x) (neg.f64 x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) x) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 x (log.f64 (/.f64 x (+.f64 x y))) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))))
(-.f64 #s(literal 0 binary64) (/.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)))
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x))))
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(/.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x)))))) (neg.f64 (-.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 x y) x)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (*.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x y))) (log.f64 (/.f64 x (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x y)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (+.f64 x y)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (neg.f64 x) (exp.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 x) y)))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
(.f64 (-.f64 x y) (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 (-.f64 x y) (.f64 x (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (pow.f64 (/.f64 (+.f64 x y) (.f64 x (fma.f64 x (-.f64 x y) (.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 x (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 x y) (.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x (-.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 x y))
(.f64 (/.f64 (neg.f64 x) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (neg.f64 x) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (exp.f64 (log.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))) (exp.f64 (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (exp.f64 (log.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))))) (exp.f64 (log.f64 (-.f64 x y))))

eval79.0ms (0.8%)

Memory: -13.0MiB live, 194.8MiB allocated
Compiler: Compiled 11 604 to 2 151 computations (81.5% saved)

prune100.0ms (1%)

Memory

2.8MiB live, 200.3MiB 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

99.9%

Counts

479 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.6%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	59.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 x y)) x))) (*.f64 x x))
▶	85.4%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	58.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	51.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	60.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
▶	74.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
▶	46.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
▶	60.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))

Compiler

Compiled 264 to 158 computations (40.2% saved)

simplify172.0ms (1.8%)

Memory

-10.2MiB live, 224.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

8 234×	`lower-fma.f32`
8 230×	`lower-fma.f64`
2 220×	`lower-*.f32`
2 218×	`lower-*.f64`
1 280×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	223
0	53	227
1	81	215
2	144	215
3	232	212
4	359	212
5	711	210
6	1617	210
7	3796	205
8	5890	203
9	7693	203
0	8066	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 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
y
(fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x x)
(/.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 x y)) x) x)
(pow.f64 (/.f64 x (+.f64 x y)) x)
(/.f64 x (+.f64 x y))
x
(+.f64 x y)
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 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
y
(fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x x)
(/.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 x y)) x) x)
(pow.f64 (/.f64 x (+.f64 x y)) x)
(/.f64 x (+.f64 x y))
x
(+.f64 x y)
y

localize216.0ms (2.2%)

Memory

2.2MiB live, 480.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0.0078125	(/.f64 x (+.f64 x y))
accuracy	0.015625	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
accuracy	13.897732639047465	(pow.f64 (/.f64 x (+.f64 x y)) x)
accuracy	0.16819263624133868	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	1.6205484844897946	(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	6.101460786481812	(fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
accuracy	28.190476282612632	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.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	25.334025864920385	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
accuracy	0.015625	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
accuracy	16.739433545174784	#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	0.015625	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy	20.566969865692407	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))

Samples

88.0ms	136×	1	valid
67.0ms	29×	2	valid
25.0ms	91×	0	valid

Compiler

Compiled 187 to 28 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-pow: 67.0ms (43.5% of total)

ival-div: 26.0ms (16.9% of total)

ival-log: 20.0ms (13% of total)

ival-add: 13.0ms (8.4% of total)

ival-mult: 11.0ms (7.1% of total)

adjust: 9.0ms (5.8% of total)

ival-exp: 4.0ms (2.6% of total)

ival-sub: 2.0ms (1.3% of total)

ival-neg: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory

15.1MiB live, 93.0MiB 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>) () ())
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#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 x y)) x) (patch (pow.f64 (/.f64 x (+.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 x y)) x) (patch (pow.f64 (/.f64 x (+.f64 x y)) 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 x y)) x) (patch (pow.f64 (/.f64 x (+.f64 x y)) 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 x y)) x) (patch (pow.f64 (/.f64 x (+.f64 x y)) x) #<representation binary64>) () ())) ())
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#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<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 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<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 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<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 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (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>) () ())) ())
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#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<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	y	@	inf	(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))
2.0ms	y	@	0	(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))
1.0ms	x	@	0	(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))
1.0ms	x	@	-inf	(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))
1.0ms	x	@	inf	(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))

simplify311.0ms (3.2%)

Memory

-8.3MiB live, 384.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 338×	`lower-fma.f64`
9 338×	`lower-fma.f32`
5 420×	`lower-*.f64`
5 420×	`lower-*.f32`
3 200×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	9609
1	1717	8162
2	5773	7909
0	8143	7514

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

rewrite263.0ms (2.7%)

Memory

50.2MiB live, 464.4MiB allocated

Rules

5 226×	`lower-fma.f32`
5 222×	`lower-fma.f64`
4 986×	`lower-/.f32`
4 968×	`lower-/.f64`
3 268×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	197
0	53	185
1	213	185
2	1863	185
0	8258	179

Stop Event

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

Counts

19 → 567

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

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

eval214.0ms (2.2%)

Memory: -25.2MiB live, 221.5MiB allocated
Compiler: Compiled 24 473 to 2 312 computations (90.6% saved)

prune146.0ms (1.5%)

Memory

21.0MiB live, 334.7MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	981	14	995
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	986	18	1 004

Accuracy

99.9%

Counts

1 004 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	59.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 x y)) x))) (*.f64 x x))
✓	85.4%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	51.0%	(/.f64 #s(approx (pow (/ x (+ x y)) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	58.8%	(/.f64 #s(approx (pow (/ x (+ x y)) x) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	60.4%	(/.f64 #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	74.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	37.6%	(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))) #s(literal -1 binary64)))
	46.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x #s(literal 2 binary64)))) (*.f64 y y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
▶	62.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y (fma.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
▶	62.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y #s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
	64.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x))
▶	38.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 x y)) (.f64 x x)))
	60.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
▶	3.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 y (neg.f64 x))))
▶	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
	39.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (*.f64 x x))))
	8.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))))

Compiler

Compiled 493 to 287 computations (41.8% saved)

simplify224.0ms (2.3%)

Memory

-9.9MiB live, 334.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(fma.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y (fma.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
cost-diff	576	(fma.f64 y (fma.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x))
cost-diff	0	(fma.f64 y #s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y #s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 x (*.f64 x y))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 x y)) (.f64 x x)))
cost-diff	640	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 y (neg.f64 x))
cost-diff	0	#s(approx (- (/ 1 x) (/ y x)) (/.f64 y (neg.f64 x)))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 y (neg.f64 x))))
cost-diff	0	(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))

Rules

13 228×	`lower-fma.f32`
13 218×	`lower-fma.f64`
4 008×	`lower-*.f32`
4 004×	`lower-*.f64`
1 742×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	395
0	70	393
1	129	383
2	240	381
3	397	359
4	686	359
5	1913	359
6	5473	359
0	8311	350

Stop Event

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

Calls

Call 1

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

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

localize163.0ms (1.7%)

Memory

44.6MiB live, 354.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.6205484844897946	(fma.f64 y (fma.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	6.101460786481812	(fma.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
accuracy	28.190476282612632	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y (fma.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
accuracy	30.291107644773817	#s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.015625	(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
accuracy	1.6205484844897946	(fma.f64 y #s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	13.43176358440428	#s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x))
accuracy	28.190476282612632	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y #s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(-.f64 x (*.f64 x y))
accuracy	25.334025864920385	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 x y)) (.f64 x x)))
accuracy	26.654792049543577	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
accuracy	0	(/.f64 y (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	25.334025864920385	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 y (neg.f64 x))))
accuracy	37.42961774183871	#s(approx (- (/ 1 x) (/ y x)) (/.f64 y (neg.f64 x)))
accuracy	0.01171875	(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	4.748436378205795	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
accuracy	9.748096079897728	#s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
accuracy	28.190476282612632	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))

Samples

60.0ms	97×	1	valid
55.0ms	159×	0	valid

Compiler

Compiled 260 to 36 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-div: 31.0ms (33.7% of total)

ival-mult: 18.0ms (19.6% of total)

ival-log: 13.0ms (14.1% of total)

ival-add: 10.0ms (10.9% of total)

ival-neg: 9.0ms (9.8% of total)

adjust: 6.0ms (6.5% of total)

ival-exp: 3.0ms (3.3% of total)

ival-sub: 3.0ms (3.3% 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

-39.0MiB live, 70.2MiB allocated

Counts

21 → 456

Calls

Call 1

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

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

Calls

114 calls:

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

simplify420.0ms (4.3%)

Memory

-10.8MiB live, 494.3MiB allocated

Algorithm

1×	egg-herbie

Rules

20 216×	`lower-fma.f64`
20 216×	`lower-fma.f32`
5 938×	`lower-+.f64`
5 938×	`lower-+.f32`
5 868×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	8135
1	1093	7214
2	3780	6471
0	8673	6133

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 455

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 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))))))
(* 1/2 (/ (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 (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(* 1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))
(* 1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* 1/2 y) 1)))
(* 1/2 (pow y 2))
(* (pow y 2) (- 1/2 (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))
(* 1/2 (pow y 2))
(* (pow y 2) (- 1/2 (/ 1 y)))
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 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)
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(/ (+ (* 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 (* 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 x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(* 1/2 (/ y (pow x 2)))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/ (- (* 1/2 y) 1) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(* -1 (/ (+ 1 (* -1/2 y)) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 1/2 x)) (pow x 2))
(/ (+ 1/2 (* 1/2 x)) (pow x 2))
(/ (+ 1/2 (* 1/2 x)) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

rewrite410.0ms (4.2%)

Memory

31.6MiB live, 357.4MiB allocated

Rules

4 934×	`lower-/.f32`
4 920×	`lower-/.f64`
4 284×	`lower-fma.f32`
4 274×	`lower-fma.f64`
3 794×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	356
0	70	348
1	323	330
2	2965	330
0	8503	314

Stop Event

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

Counts

21 → 523

Calls

Call 1

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

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

eval188.0ms (1.9%)

Memory: -15.8MiB live, 172.0MiB allocated
Compiler: Compiled 21 171 to 1 507 computations (92.9% saved)

prune246.0ms (2.5%)

Memory

1.2MiB live, 267.4MiB allocated

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	959	19	978
Fresh	2	8	10
Picked	2	3	5
Done	0	3	3
Total	963	33	996

Accuracy

99.9%

Counts

996 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	59.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 x y)) x))) (*.f64 x x))
✓	85.4%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	51.0%	(/.f64 #s(approx (pow (/ x (+ x y)) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	58.8%	(/.f64 #s(approx (pow (/ x (+ x y)) x) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
▶	60.4%	(/.f64 #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	74.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	37.6%	(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))) #s(literal -1 binary64)))
▶	61.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 ( x x))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
	48.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y (.f64 y (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 y (neg.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
✓	62.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y #s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y #s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x)))
	61.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y #s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) #s(approx (/ (+ (* y 1/2) -1) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) x)))
	64.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x))
	25.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y x) (.f64 x x)) (-.f64 x (.f64 x y))) (fma.f64 (.f64 x y) (fma.f64 x y x) (.f64 x x))) (*.f64 x x)))
	38.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (.f64 (fma.f64 x y x) (-.f64 x (.f64 x y))) (fma.f64 x y x)) (*.f64 x x)))
	20.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x y))) (.f64 (.f64 x x) (.f64 x x))))
	5.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* x y)) (.f64 x (neg.f64 y))) (.f64 x x)))
	60.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
▶	12.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x x))))
	2.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))))
✓	3.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 y (neg.f64 x))))
	3.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 (/.f64 #s(literal -1 binary64) x) y)))
	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (+.f64 (neg.f64 y) #s(literal 1 binary64))) x)))
✓	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
▶	63.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
	61.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))))) x)))
	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (neg.f64 y)) x)))
	41.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (+.f64 x (.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))))) (*.f64 x x))))
	8.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))))
	8.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 #s(approx (+ (* y (+ (* y 1/2) -1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y y))) x)))
	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
▶	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1 119 to 564 computations (49.6% saved)

simplify230.0ms (2.4%)

Memory

-2.6MiB live, 261.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
cost-diff	0	#s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
cost-diff	2496	(/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 ( x x))) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(fma.f64 (.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 ( x x))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) y) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 ( x x))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x x))))
cost-diff	768	(.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
cost-diff	320	(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))

Rules

9 614×	`lower-fma.f32`
9 604×	`lower-fma.f64`
2 614×	`lower--.f32`
2 612×	`lower--.f64`
2 414×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	480
0	73	426
1	139	406
2	346	398
3	930	382
4	2481	380
5	5433	380
0	8122	376

Stop Event

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

Calls

Call 1

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

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

localize275.0ms (2.8%)

Memory

11.4MiB live, 451.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.748436378205795	(/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
accuracy	9.748096079897728	#s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x))
accuracy	15.338411284788426	(/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	28.190476282612632	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
accuracy	5.401798484489795	(fma.f64 (.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 ( x x))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	6.066741406175582	(.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 ( x x))) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	28.190476282612632	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 ( x x))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
accuracy	30.291107644773817	#s(approx (+ (/ 1/2 x) (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0	(neg.f64 x)
accuracy	4.584355998225851	(/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x))
accuracy	23.001908845178296	(.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x x)))
accuracy	62.47130912681026	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x x))))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.015625	(/.f64 #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)) x)
accuracy	25.367561319912546	#s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y))
accuracy	0.01171875	(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	4.728905128205795	(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	9.748096079897728	#s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
accuracy	28.190476282612632	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))

Samples

159.0ms	97×	1	valid
52.0ms	159×	0	valid

Compiler

Compiled 334 to 43 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-pow: 77.0ms (41.7% of total)

ival-log: 31.0ms (16.8% of total)

ival-div: 30.0ms (16.2% of total)

ival-mult: 20.0ms (10.8% of total)

ival-add: 13.0ms (7% of total)

adjust: 7.0ms (3.8% of total)

ival-exp: 4.0ms (2.2% of total)

ival-sub: 2.0ms (1.1% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory

-12.5MiB live, 103.1MiB allocated

Counts

19 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(* y (+ (/ 1/2 x) (/ 1/2 (* x x))))
4.0ms	y	@	-inf	(pow (/ x (+ x y)) x)
1.0ms	x	@	0	(/ (/ (+ (* (+ (* y 1/2) -1) (* y (* y (+ (* y 1/2) -1)))) -1) (+ (* y (+ (* y 1/2) -1)) -1)) x)
1.0ms	x	@	inf	(/ (/ (+ (* (+ (* y 1/2) -1) (* y (* y (+ (* y 1/2) -1)))) -1) (+ (* y (+ (* y 1/2) -1)) -1)) x)
0.0ms	x	@	inf	(* (neg x) (/ (- 1 y) (* x x)))

simplify344.0ms (3.5%)

Memory

7.2MiB live, 561.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 002×	`lower-fma.f64`
14 002×	`lower-fma.f32`
5 986×	`lower-*.f64`
5 986×	`lower-*.f32`
4 814×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	429	8796
1	1268	7695
2	4301	6962
0	8112	6584

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

rewrite313.0ms (3.2%)

Memory

23.2MiB live, 488.3MiB allocated

Rules

5 236×	`lower-/.f32`
5 222×	`lower-/.f64`
4 026×	`lower-*.f32`
4 014×	`lower-*.f64`
3 444×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	398
0	73	324
1	324	324
2	2885	324
0	8619	308

Stop Event

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

Counts

19 → 716

Calls

Call 1

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

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

eval366.0ms (3.7%)

Memory: -84.8MiB live, 388.2MiB allocated
Compiler: Compiled 32 441 to 1 683 computations (94.8% saved)

prune257.0ms (2.6%)

Memory

-3.6MiB live, 447.1MiB allocated

Pruning

33 alts after pruning (24 fresh and 9 done)

	Pruned	Kept	Total
New	1 177	11	1 188
Fresh	9	13	22
Picked	2	3	5
Done	0	6	6
Total	1 188	33	1 221

Accuracy

99.9%

Counts

1 221 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	59.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 x y)) x))) (*.f64 x x))
✓	85.4%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	51.0%	(/.f64 #s(approx (pow (/ x (+ x y)) x) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (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) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	58.8%	(/.f64 #s(approx (pow (/ x (+ x y)) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
✓	60.4%	(/.f64 #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	74.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	60.4%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)))
	37.6%	(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))) #s(literal -1 binary64)))
✓	61.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 ( x x))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
	61.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (.f64 y #s(approx (+ (/ 1/2 x) (/ 1/2 ( x x))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))
	48.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y (.f64 y (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 y (neg.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
✓	62.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y #s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y #s(approx (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) (.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x)))
	64.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x))
	25.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y x) (.f64 x x)) (-.f64 x (.f64 x y))) (fma.f64 (.f64 x y) (fma.f64 x y x) (.f64 x x))) (*.f64 x x)))
	38.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (.f64 (fma.f64 x y x) (-.f64 x (.f64 x y))) (fma.f64 x y x)) (*.f64 x x)))
	20.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x y))) (.f64 (.f64 x x) (.f64 x x))))
	6.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 (*.f64 x x) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))))
	11.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x))))
	2.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))))
✓	3.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 y (neg.f64 x))))
	3.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 (/.f64 #s(literal -1 binary64) x) y)))
	41.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) y) (/ (- 1 y) x)) (/.f64 (+.f64 x (.f64 y (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x (.f64 y #s(literal 1/2 binary64))))) (*.f64 x x))))
	8.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) y) (/ (- 1 y) x)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (*.f64 x x))))
	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) y)) x)))
✓	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
✓	63.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
	61.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))))) x)))
	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (neg.f64 y)) x)))
	8.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 #s(approx (/ (+ (* (+ (* y 1/2) -1) (* y (* y (+ (* y 1/2) -1)))) -1) (+ (* y (+ (* y 1/2) -1)) -1)) (.f64 #s(literal 1/2 binary64) (.f64 y y))) x)))
	65.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
	8.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (.f64 #s(approx (+ ( y (+ (* y 1/2) -1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1 435 to 478 computations (66.7% saved)

regimes49.0ms (0.5%)

Memory

21.3MiB live, 98.8MiB allocated

Counts

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

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	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
16.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
99.7%	3	`x`
89.3%	2	`y`
93.9%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes46.0ms (0.5%)

Memory

-4.1MiB live, 75.6MiB allocated

Counts

49 → 4

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

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

Calls

3 calls:

15.0ms	x
14.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
13.0ms	y

Results

Accuracy	Segments	Branch
79.0%	3	`y`
74.1%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
83.5%	4	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes17.0ms (0.2%)

Memory

-7.9MiB live, 30.2MiB allocated

Counts

43 → 5

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
84.1%	5	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

-16.0MiB live, 21.5MiB allocated

Counts

40 → 4

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
82.4%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
80.7%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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 y (neg.f64 x))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 (/.f64 #s(literal -1 binary64) x) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 #s(approx (+ (* y (+ (* y 1/2) -1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y y))) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 #s(approx (/ (+ (* (+ (* y 1/2) -1) (* y (* y (+ (* y 1/2) -1)))) -1) (+ (* y (+ (* y 1/2) -1)) -1)) (.f64 #s(literal 1/2 binary64) (.f64 y y))) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* x y)) (.f64 x (neg.f64 y))) (.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 x y)) (.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) y)) 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 (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (.f64 #s(approx (+ ( y (+ (* y 1/2) -1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) y) (/ (- 1 y) x)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (+.f64 (neg.f64 y) #s(literal 1 binary64))) x)))

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
80.7%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB 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 y (neg.f64 x))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 (/.f64 #s(literal -1 binary64) x) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 #s(approx (+ (* y (+ (* y 1/2) -1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y y))) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 #s(approx (/ (+ (* (+ (* y 1/2) -1) (* y (* y (+ (* y 1/2) -1)))) -1) (+ (* y (+ (* y 1/2) -1)) -1)) (.f64 #s(literal 1/2 binary64) (.f64 y y))) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
78.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory

-24.4MiB live, 14.6MiB allocated

Accuracy

Total -45.3b remaining (-273.4%)

Threshold costs -45.3b (-273.4%)

Counts

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

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

Calls

3 calls:

13.0ms	y
3.0ms	x
3.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
74.1%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
74.1%	1	`y`
74.1%	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch29.0ms (0.3%)

Memory

30.1MiB live, 30.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0906622146146337e-38	7.177926483186254e-38
13.0ms	-296585.3565608648	-21856.12156829466

Samples

14.0ms	192×	0	valid
3.0ms	55×	0	invalid

Compiler

Compiled 208 to 145 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 3.0ms (25.6% of total)

ival-log: 3.0ms (25.6% of total)

ival-exp: 2.0ms (17% of total)

ival-add: 1.0ms (8.5% of total)

ival-mult: 1.0ms (8.5% of total)

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

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

bsearch68.0ms (0.7%)

Memory

-35.2MiB live, 82.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	2.2111300589541443e+176	1.675816729737517e+180
14.0ms	498.6635124960403	18560.39166338471
13.0ms	-296585.3565608648	-21856.12156829466

Samples

28.0ms	113×	1	valid
9.0ms	127×	0	valid
2.0ms	31×	0	invalid

Compiler

Compiled 832 to 436 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-log: 17.0ms (54.4% of total)

ival-div: 5.0ms (16% of total)

ival-exp: 3.0ms (9.6% of total)

ival-add: 2.0ms (6.4% of total)

adjust: 2.0ms (6.4% of total)

ival-mult: 2.0ms (6.4% of total)

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

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

bsearch84.0ms (0.9%)

Memory

0.6MiB live, 121.4MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2111300589541443e+176	1.675816729737517e+180
1.0ms	498.6635124960403	18560.39166338471
35.0ms	-1.2885868996576616e+41	-5.619947259202643e+36
40.0ms	-6.892598615729169e+159	-1.9137776576736046e+152

Samples

49.0ms	216×	1	valid
11.0ms	56×	0	valid
3.0ms	51×	0	invalid

Compiler

Compiled 1 151 to 599 computations (48% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-log: 21.0ms (45.5% of total)

ival-div: 8.0ms (17.3% of total)

ival-add: 6.0ms (13% of total)

ival-exp: 4.0ms (8.7% of total)

adjust: 3.0ms (6.5% of total)

ival-mult: 3.0ms (6.5% of total)

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

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

bsearch3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2111300589541443e+176	1.675816729737517e+180
1.0ms	-1.2885868996576616e+41	-5.619947259202643e+36
1.0ms	-6.892598615729169e+159	-1.9137776576736046e+152

Compiler

Compiled 723 to 424 computations (41.4% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2111300589541443e+176	1.675816729737517e+180
1.0ms	-296585.3565608648	-21856.12156829466

Compiler

Compiled 314 to 207 computations (34.1% saved)

bsearch1.0ms (0%)

Memory

4.7MiB live, 4.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2111300589541443e+176	1.675816729737517e+180
1.0ms	-296585.3565608648	-21856.12156829466

Compiler

Compiled 302 to 201 computations (33.4% saved)

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	-296585.3565608648	-21856.12156829466

Compiler

Compiled 142 to 97 computations (31.7% saved)

simplify18.0ms (0.2%)

Memory

-7.0MiB live, 31.5MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
42×	`+-commutative_binary64`
34×	`sub-neg_binary64`
30×	`neg-sub0_binary64`
30×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	748
1	130	748
2	155	748
3	177	748
4	203	748
5	224	748
6	236	748
7	241	748
8	242	748

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -22000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 838083498911033/11972621413014756705924586149611790497021399392059392 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 -22000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 1850 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x)))))))
(if (<=.f64 x #s(literal -12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (.f64 x y)) x) x)) (if (<=.f64 x #s(literal -5800000000000000039436163143757201408 binary64)) #s(approx (/ (exp ( x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (+.f64 x (.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))))) (.f64 x x)))) (if (<=.f64 x #s(literal 1850 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x))))))))
(if (<=.f64 x #s(literal -12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (.f64 x y)) x) x)) (if (<=.f64 x #s(literal -5800000000000000039436163143757201408 binary64)) #s(approx (/ (exp ( x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (+.f64 x (.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))))) (.f64 x x)))) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x)))))))
(if (<=.f64 x #s(literal -22000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x))))))
(if (<=.f64 x #s(literal -22000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x))))))
(if (<=.f64 x #s(literal -22000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

Outputs
(if (<=.f64 x #s(literal -22000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 838083498911033/11972621413014756705924586149611790497021399392059392 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 -22000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 1850 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x)))))))
(if (<=.f64 x #s(literal -22000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 1850 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 x (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x (neg.f64 x))))))))
(if (<=.f64 x #s(literal -12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (.f64 x y)) x) x)) (if (<=.f64 x #s(literal -5800000000000000039436163143757201408 binary64)) #s(approx (/ (exp ( x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (+.f64 x (.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))))) (.f64 x x)))) (if (<=.f64 x #s(literal 1850 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x))))))))
(if (<=.f64 x #s(literal -12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (.f64 x y)) x) x)) (if (<=.f64 x #s(literal -5800000000000000039436163143757201408 binary64)) #s(approx (/ (exp ( x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (+.f64 x (.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))))) (.f64 x x)))) (if (<=.f64 x #s(literal 1850 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) x))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 x (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))))))))
(if (<=.f64 x #s(literal -12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (.f64 x y)) x) x)) (if (<=.f64 x #s(literal -5800000000000000039436163143757201408 binary64)) #s(approx (/ (exp ( x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (+.f64 x (.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))))) (.f64 x x)))) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x)))))))
(if (<=.f64 x #s(literal -12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (.f64 x y)) x) x)) (if (<=.f64 x #s(literal -5800000000000000039436163143757201408 binary64)) #s(approx (/ (exp ( x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (+.f64 x (.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))))) (.f64 x x)))) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 x (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x (neg.f64 x))))))))
(if (<=.f64 x #s(literal -22000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x))))))
(if (<=.f64 x #s(literal -22000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 x (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))))))
(if (<=.f64 x #s(literal -22000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x x))))))
(if (<=.f64 x #s(literal -22000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 1649999999999999946156785048637640993564375585678270564008862554127681249990789747041125360146074952684070158567399066264309579511378967440937928232075588652784116021926816032751616 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (.f64 x (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))))))
(if (<=.f64 x #s(literal -22000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

soundness1.2s (12.5%)

Memory

15.2MiB live, 765.7MiB allocated

Rules

20 216×	`lower-fma.f64`
20 216×	`lower-fma.f32`
14 002×	`lower-fma.f64`
14 002×	`lower-fma.f32`
9 338×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	429	8796
1	1268	7695
2	4301	6962
0	8112	6584
0	359	8135
1	1093	7214
2	3780	6471
0	8673	6133
0	33	197
0	53	185
1	213	185
2	1863	185
0	8258	179
0	48	356
0	70	348
1	323	330
2	2965	330
0	8503	314
0	563	9609
1	1717	8162
2	5773	7909
0	8143	7514
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×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 778 to 361 computations (53.6% saved)

preprocess96.0ms (1%)

Memory: 11.9MiB live, 87.2MiB allocated
Compiler: Compiled 792 to 198 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	101	748
1	130	748
2	155	748
3	177	748
4	203	748
5	224	748
6	236	748
7	241	748
8	242	748

Iter	Nodes	Cost
0	101	748
1	130	748
2	155	748
3	177	748
4	203	748
5	224	748
6	236	748
7	241	748
8	242	748

start0.0ms (0%)

analyze70.0ms (0.7%)

sample2.0s (20.1%)

explain204.0ms (2.1%)

preprocess94.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize113.0ms (1.2%)

series25.0ms (0.3%)

simplify313.0ms (3.2%)

rewrite217.0ms (2.2%)

eval79.0ms (0.8%)

prune100.0ms (1%)

simplify172.0ms (1.8%)

localize216.0ms (2.2%)

series33.0ms (0.3%)

simplify311.0ms (3.2%)

rewrite263.0ms (2.7%)

eval214.0ms (2.2%)

prune146.0ms (1.5%)

simplify224.0ms (2.3%)

localize163.0ms (1.7%)

series58.0ms (0.6%)

simplify420.0ms (4.3%)

rewrite410.0ms (4.2%)

eval188.0ms (1.9%)

prune246.0ms (2.5%)

simplify230.0ms (2.4%)

localize275.0ms (2.8%)

series48.0ms (0.5%)

simplify344.0ms (3.5%)

rewrite313.0ms (3.2%)

eval366.0ms (3.7%)

prune257.0ms (2.6%)

regimes49.0ms (0.5%)

regimes46.0ms (0.5%)

regimes17.0ms (0.2%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes20.0ms (0.2%)

bsearch29.0ms (0.3%)

bsearch68.0ms (0.7%)

bsearch84.0ms (0.9%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify18.0ms (0.2%)

soundness1.2s (12.5%)

preprocess96.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	101	748
1	130	748
2	155	748
3	177	748
4	203	748
5	224	748
6	236	748
7	241	748
8	242	748