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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze100.0ms (1.1%)

Memory

-25.3MiB live, 92.4MiB 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)

sample2.2s (25%)

Memory

30.2MiB live, 2 260.7MiB allocated

Samples

1.3s	3 802×	1	valid
479.0ms	4 454×	0	valid
49.0ms	251×	0	invalid

Precisions

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

ival-log: 595.0ms (38.1% of total)

ival-mult: 376.0ms (24.1% of total)

ival-div: 244.0ms (15.6% of total)

ival-add: 152.0ms (9.7% of total)

ival-exp: 126.0ms (8.1% of total)

adjust: 57.0ms (3.7% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain294.0ms (3.3%)

Memory

-2.1MiB live, 339.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
136	36	(-3.259945194108534e+272 1.4674386524073106e-130)	2	(-1.35074564791814e-309 -853618820378.6827)	`(log.f64 (/.f64 x (+.f64 x y)))`
38	0	-	2	(2.62563860543459e+147 -6.665432616563374e-167)	`(*.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	152	0
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	36	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	18	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	36
↳	`(/.f64 x (+.f64 x y))`	underflow	18

Confusion

	Predicted +	Predicted -
+	59	0
-	111	86

Precision

0.34705882352941175

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	59	0	0
-	111	0	86

Precision?

0.34705882352941175

Recall?

1.0

Freqs

test

number	freq
0	86
1	134
2	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

95.0ms	74×	2	valid
53.0ms	224×	0	valid
50.0ms	214×	1	valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-log: 74.0ms (42.6% of total)

ival-add: 38.0ms (21.9% of total)

adjust: 36.0ms (20.7% of total)

ival-div: 13.0ms (7.5% of total)

ival-exp: 6.0ms (3.5% of total)

ival-mult: 6.0ms (3.5% of total)

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

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

preprocess95.0ms (1.1%)

Memory

19.7MiB live, 52.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (1.3%)

Memory

-14.7MiB live, 125.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy	0.03125	(/.f64 x (+.f64 x y))
accuracy	8.788776438216006	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy	30.81360157543814	(log.f64 (/.f64 x (+.f64 x y)))

Samples

53.0ms	107×	1	valid
48.0ms	37×	2	valid
9.0ms	112×	0	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-log: 50.0ms (67.6% of total)

ival-exp: 8.0ms (10.8% of total)

ival-div: 7.0ms (9.5% of total)

ival-add: 3.0ms (4.1% of total)

adjust: 3.0ms (4.1% of total)

ival-mult: 3.0ms (4.1% of total)

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

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

series62.0ms (0.7%)

Memory

2.6MiB live, 39.2MiB 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 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 (/ 1 x) (taylor 0 y) (#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 (/ y x)) (/ 1 x)) (taylor 0 y) (#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 (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#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 (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 (.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 y) (taylor 0 y) (#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 (* y (- (* 1/2 (/ y x)) 1)) (taylor 0 y) (#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 (* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#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 (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#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 (* -1 (/ y x)) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.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 (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 x) (log (/ 1 y))))) x) (taylor inf y) (#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 (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) (taylor inf y) (#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 (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (exp.f64 (.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 (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (exp.f64 (.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 (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#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 (+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) (taylor inf y) (#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 (+ (* -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)))))) (taylor inf y) (#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 (+ (* -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))))))) (taylor inf y) (#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 x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	y	@	inf	((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
5.0ms	x	@	inf	((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
4.0ms	x	@	-inf	((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
3.0ms	y	@	-inf	((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
2.0ms	y	@	0	((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))

simplify244.0ms (2.7%)

Memory

-11.8MiB live, 255.5MiB 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	3184
1	1674	2659
2	5689	2574
0	8306	2445

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite209.0ms (2.3%)

Memory

-2.7MiB live, 285.1MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

5 → 358

Calls

Call 1

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

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

eval131.0ms (1.5%)

Memory: -4.4MiB live, 146.7MiB allocated
Compiler: Compiled 10 853 to 2 255 computations (79.2% saved)

prune16.0ms (0.2%)

Memory

19.9MiB live, 57.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	467	11	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	468	11	479

Accuracy

100.0%

Counts

479 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.2%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
	78.5%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) x)
	54.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
▶	83.0%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	52.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	55.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	57.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
▶	73.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
▶	48.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	47.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	57.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))

Compiler

Compiled 322 to 230 computations (28.6% saved)

simplify165.0ms (1.8%)

Memory

37.0MiB live, 258.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
cost-diff	6656	(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
cost-diff	704	(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(/.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y 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	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

21 390×	`lower-fma.f32`
21 380×	`lower-fma.f64`
2 980×	`lower-+.f32`
2 978×	`lower-*.f32`
2 976×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	391
0	65	391
1	98	381
2	180	381
3	697	381
4	2533	378
5	6730	378
0	8146	368

Stop Event

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

Calls

Call 1

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

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

localize267.0ms (3%)

Memory

-61.1MiB live, 325.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.0317472642138943	(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy	3.1505954653688013	(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x))
accuracy	11.861571250467303	(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	29.078307252316108	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy	0.20312500000000003	(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))
accuracy	1.256816919867807	(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy	4.109041082938513	(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
accuracy	29.88880540521784	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy	0	(/.f64 y x)
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.04296875	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
accuracy	27.16510538558083	#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	17.13123727891712	#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	25.188429712539865	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))

Samples

159.0ms	107×	1	valid
39.0ms	37×	2	valid
30.0ms	112×	0	valid

Compiler

Compiled 325 to 38 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult: 39.0ms (26.6% of total)

ival-add: 34.0ms (23.2% of total)

ival-div: 23.0ms (15.7% of total)

ival-log: 20.0ms (13.6% of total)

adjust: 12.0ms (8.2% of total)

ival-exp: 8.0ms (5.5% of total)

const: 8.0ms (5.5% of total)

ival-sub: 2.0ms (1.4% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory

42.3MiB live, 79.7MiB 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 #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 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) (patch (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (patch (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) (patch (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (exp ( x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (patch (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) (patch (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ 1 x) (/ y x) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))))
5.0ms	y	@	inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ 1 x) (/ y x) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))))
4.0ms	y	@	-inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ 1 x) (/ y x) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))))
3.0ms	y	@	0	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ 1 x) (/ y x) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))))
3.0ms	x	@	inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ 1 x) (/ y x) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))))

simplify238.0ms (2.7%)

Memory

0.3MiB live, 310.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 538×	`lower-fma.f64`
9 538×	`lower-fma.f32`
5 512×	`lower-*.f64`
5 512×	`lower-*.f32`
4 456×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	10177
1	2078	8866
2	7436	8786
0	8097	8320

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ y x)) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y)
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y)
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) y (/.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 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 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(- (* 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))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) y (/.f64 #s(literal -1 binary64) x))
(- (* 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))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) y (/.f64 #s(literal -1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))
(+ (* -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)))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
(+ (* -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)))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
(+ (* -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)))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.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 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (.f64 (.f64 y y) x)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.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 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y))))
(exp (* x (+ (log x) (log (/ 1 y)))))
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(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(* -1 (/ (+ 1 (* y (- (* 1/6 y) 1/2))) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (+ 1 (+ (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)) (* y (- (* 1/6 y) 1/2)))) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) y (fma.f64 (neg.f64 y) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (+ 1/2 (* -1/2 y)))) x)) (* y (- (* 1/6 y) 1/2)))) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal -1/3 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))) (neg.f64 x))
(* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (+ 1/2 (* -1/2 y)))) x)) (* y (- (* 1/6 y) 1/2)))) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal -1/3 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))) (neg.f64 x))
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(/.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 y y)) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x) (exp.f64 (neg.f64 y)) (.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 #s(literal 1/2 binary64) y) y))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 y y) (/.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) (exp.f64 (neg.f64 y)) (.f64 (fma.f64 #s(literal -1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -36 binary64) (.f64 #s(literal 42 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64)))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 x))
(* -1 (/ (- (* y (+ 1 (* y (- (* 1/6 y) 1/2)))) 1) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)) (* y (+ 1 (* y (- (* 1/6 y) 1/2))))) 1) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (+ 1/2 (* -1/2 y)))) x)) (* y (+ 1 (* y (- (* 1/6 y) 1/2))))) 1) x))
(/.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) y)) x)) (neg.f64 x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (+ 1/2 (* -1/2 y)))) x)) (* y (+ 1 (* y (- (* 1/6 y) 1/2))))) 1) x))
(/.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) y)) x)) (neg.f64 x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(* -1 (/ (- (* 1/6 y) 1/2) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 (/ (- (+ (* -1 (/ (+ 1/2 (* -1/2 y)) x)) (* 1/6 y)) 1/2) x))
(/.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x)) (neg.f64 x))
(* -1 (/ (- (+ (* -1 (/ (+ 1/2 (+ (* -1/2 y) (* -1/3 (/ y x)))) x)) (* 1/6 y)) 1/2) x))
(/.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (neg.f64 x))
(* -1 (/ (- (+ (* -1 (/ (+ 1/2 (+ (* -1/2 y) (* -1/3 (/ y x)))) x)) (* 1/6 y)) 1/2) x))
(/.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (neg.f64 x))

rewrite193.0ms (2.1%)

Memory

-37.5MiB live, 252.6MiB allocated

Rules

4 960×	`lower-/.f32`
4 942×	`lower-/.f64`
2 900×	`lower-*.f32`
2 898×	`lower-*.f64`
2 690×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	316
0	65	312
1	287	302
2	2999	302
0	8664	289

Stop Event

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

Counts

19 → 528

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

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

eval453.0ms (5.1%)

Memory: 52.5MiB live, 354.4MiB allocated
Compiler: Compiled 35 699 to 3 640 computations (89.8% saved)

prune144.0ms (1.6%)

Memory

-19.3MiB live, 96.3MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 101	10	1 111
Fresh	3	3	6
Picked	3	2	5
Done	0	0	0
Total	1 107	15	1 122

Accuracy

100.0%

Counts

1 122 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
	78.5%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) x)
✓	83.0%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	57.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
✓	73.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	61.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) (/.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	62.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	37.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
	35.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) x) (.f64 x (/.f64 x y))))
▶	35.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
▶	4.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	62.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	54.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
	6.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
	65.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))

Compiler

Compiled 336 to 263 computations (21.7% saved)

simplify212.0ms (2.4%)

Memory

5.4MiB live, 216.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (neg.f64 y))
cost-diff	1920	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(-.f64 x (*.f64 y x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
cost-diff	640	(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(pow.f64 (/.f64 x (+.f64 y x)) x)
cost-diff	0	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)

Rules

13 498×	`lower-fma.f32`
13 492×	`lower-fma.f64`
3 598×	`lower-*.f32`
3 592×	`lower-*.f64`
2 008×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	369
0	82	369
1	141	357
2	278	342
3	1039	334
4	5213	334
0	8136	326

Stop Event

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

Calls

Call 1

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

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

localize221.0ms (2.5%)

Memory

7.2MiB live, 393.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)
accuracy	7.915163686995593	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x))
accuracy	27.16510538558083	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
accuracy	28.335258273888957	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))
accuracy	1.0317472642138943	(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy	2.397478756601468	(/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)
accuracy	10.787170072250767	#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x))
accuracy	29.078307252316108	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(-.f64 x (*.f64 y x))
accuracy	27.16510538558083	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
accuracy	27.38559625212832	(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
accuracy	0	(/.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	27.16510538558083	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
accuracy	35.507922649420735	#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
accuracy	0	(+.f64 y x)
accuracy	0.015625	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
accuracy	0.03125	(/.f64 x (+.f64 y x))
accuracy	13.435706551539413	(pow.f64 (/.f64 x (+.f64 y x)) x)

Samples

121.0ms	105×	1	valid
64.0ms	151×	0	valid

Compiler

Compiled 264 to 53 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-div: 38.0ms (25.9% of total)

ival-add: 27.0ms (18.4% of total)

ival-mult: 20.0ms (13.6% of total)

ival-log: 15.0ms (10.2% of total)

ival-pow: 14.0ms (9.5% of total)

const: 11.0ms (7.5% of total)

adjust: 10.0ms (6.8% of total)

ival-sub: 6.0ms (4.1% of total)

ival-exp: 3.0ms (2% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series107.0ms (1.2%)

Memory

6.5MiB live, 134.6MiB allocated

Counts

23 → 504

Calls

Call 1

Inputs
#s(alt (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) (patch (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) (patch #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)) (patch (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 x (.f64 y x)) (patch (-.f64 x (.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (neg.f64 y)) (patch (-.f64 #s(literal 1 binary64) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 y y)) (patch (-.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x))
10.0ms	y	@	-inf	((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x))
10.0ms	x	@	inf	((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x))
4.0ms	x	@	0	((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x))
4.0ms	y	@	inf	((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x))

simplify296.0ms (3.3%)

Memory

5.7MiB live, 278.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 262×	`lower-fma.f64`
8 262×	`lower-fma.f32`
5 422×	`lower-*.f64`
5 422×	`lower-*.f32`
4 230×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	613	9304
1	1945	8077
2	6730	7870
0	8114	7506

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 495

Calls

Call 1

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

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

rewrite262.0ms (2.9%)

Memory

13.5MiB live, 233.5MiB allocated

Rules

4 552×	`lower-/.f32`
4 534×	`lower-/.f64`
3 624×	`lower-*.f32`
3 618×	`lower-*.f64`
3 064×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	332
0	82	306
1	408	288
2	3959	288
0	9022	276

Stop Event

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

Counts

23 → 732

Calls

Call 1

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

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

eval298.0ms (3.3%)

Memory: -22.0MiB live, 382.8MiB allocated
Compiler: Compiled 24 894 to 3 030 computations (87.8% saved)

prune48.0ms (0.5%)

Memory

15.8MiB live, 131.4MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 258	12	1 270
Fresh	2	6	8
Picked	2	3	5
Done	0	2	2
Total	1 262	23	1 285

Accuracy

100.0%

Counts

1 285 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
▶	78.5%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) x)
✓	83.0%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
▶	57.5%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	73.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	61.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) (/.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
✓	62.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
	62.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64))))) y (/.f64 #s(literal 1 binary64) x)))
	49.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1/6 binary64) x)) (.f64 y y)))) y (/.f64 #s(literal 1 binary64) x)))
▶	61.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x)))
	59.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y x x)))
	39.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
✓	35.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
	40.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (/ (- 1 (* y y)) (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
▶	7.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x)))
	37.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 x (.f64 x x)) (.f64 y (/.f64 x (*.f64 x x)))))
✓	4.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	4.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
	4.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
	62.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
▶	54.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
	6.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
	65.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))

Compiler

Compiled 502 to 397 computations (20.9% saved)

simplify182.0ms (2%)

Memory

-20.6MiB live, 197.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
cost-diff	512	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y))
cost-diff	0	#s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64))))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
cost-diff	0	(/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	(/.f64 (+.f64 y x) x)
cost-diff	0	(pow.f64 (/.f64 (+.f64 y x) x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) x)

Rules

18 038×	`lower-fma.f32`
18 030×	`lower-fma.f64`
2 660×	`lower-*.f32`
2 648×	`lower-*.f64`
2 558×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	512
0	100	512
1	160	506
2	278	503
3	805	503
4	2747	499
5	6150	482
0	8298	454

Stop Event

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

Calls

Call 1

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

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

localize254.0ms (2.8%)

Memory

25.3MiB live, 491.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.2147342846683036	(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)
accuracy	2.1508838925993246	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x)
accuracy	2.6757791858302062	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y))
accuracy	23.88414126305805	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
accuracy	1.0083097642138943	(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x))
accuracy	10.787170072250767	#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64))))
accuracy	24.322746599009935	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x)))
accuracy	35.31854431956662	#s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))
accuracy	0	(neg.f64 y)
accuracy	19.892834472161	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x)))
accuracy	23.22390404105808	(/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x))
accuracy	35.658109521370015	#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.015625	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
accuracy	20.263205428464513	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
accuracy	0.0078125	(/.f64 (+.f64 y x) x)
accuracy	0.015625	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) x)
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x))
accuracy	10.040025504929035	(pow.f64 (/.f64 (+.f64 y x) x) x)

Samples

112.0ms	89×	1	valid
64.0ms	137×	0	valid
21.0ms	16×	1	exit
12.0ms	14×	0	exit

Compiler

Compiled 328 to 67 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-div: 40.0ms (22.3% of total)

ival-mult: 38.0ms (21.2% of total)

ival-pow: 33.0ms (18.4% of total)

ival-add: 22.0ms (12.2% of total)

adjust: 14.0ms (7.8% of total)

ival-log: 13.0ms (7.2% of total)

const: 11.0ms (6.1% of total)

ival-exp: 3.0ms (1.7% of total)

ival-sub: 3.0ms (1.7% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series103.0ms (1.1%)

Memory

-25.1MiB live, 135.1MiB allocated

Counts

21 → 480

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (+.f64 y x) x) x) (patch (pow.f64 (/.f64 (+.f64 y x) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) (patch (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x)) (patch (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (patch #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) x) (patch (.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) (patch #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64))) (patch #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)) (patch #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((/ (/ 1 (pow (/ (+ y x) x) x)) x) (/ 1 (pow (/ (+ y x) x) x)) (pow (/ (+ y x) x) x) (/ (+ y x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) (* x x)) (- x (* y x)) (* (neg y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (neg y) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x))
7.0ms	y	@	-inf	((/ (/ 1 (pow (/ (+ y x) x) x)) x) (/ 1 (pow (/ (+ y x) x) x)) (pow (/ (+ y x) x) x) (/ (+ y x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) (* x x)) (- x (* y x)) (* (neg y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (neg y) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x))
6.0ms	x	@	0	((/ (/ 1 (pow (/ (+ y x) x) x)) x) (/ 1 (pow (/ (+ y x) x) x)) (pow (/ (+ y x) x) x) (/ (+ y x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) (* x x)) (- x (* y x)) (* (neg y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (neg y) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x))
6.0ms	x	@	-inf	((/ (/ 1 (pow (/ (+ y x) x) x)) x) (/ 1 (pow (/ (+ y x) x) x)) (pow (/ (+ y x) x) x) (/ (+ y x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) (* x x)) (- x (* y x)) (* (neg y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (neg y) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x))
6.0ms	y	@	0	((/ (/ 1 (pow (/ (+ y x) x) x)) x) (/ 1 (pow (/ (+ y x) x) x)) (pow (/ (+ y x) x) x) (/ (+ y x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) (* x x)) (- x (* y x)) (* (neg y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (neg y) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x))

simplify543.0ms (6.1%)

Memory

-85.9MiB live, 363.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 674×	`lower-fma.f64`
7 674×	`lower-fma.f32`
6 308×	`lower-+.f64`
6 308×	`lower-+.f32`
5 978×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1061	12163
1	3451	10698
0	8268	10159

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 478

Calls

Call 1

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

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

rewrite169.0ms (1.9%)

Memory

39.2MiB live, 264.0MiB allocated

Rules

4 290×	`lower-*.f32`
4 278×	`lower-*.f64`
3 384×	`lower-fma.f32`
3 376×	`lower-fma.f64`
3 272×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	452
0	100	444
1	465	444
2	4198	442
0	8393	416

Stop Event

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

Counts

21 → 426

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 x (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) x) (/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) x) x))
(.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) x) (.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x))
(pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) x) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) (neg.f64 x)))
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 (neg.f64 x)))
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) x))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) x))
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) (neg.f64 x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x))) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1 binary64) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (+.f64 x y) x)) (neg.f64 x) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) x)))
(exp.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 x y))) x (neg.f64 (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x y) #s(literal 1 binary64)) (.f64 x #s(literal -1 binary64))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (neg.f64 (+.f64 x y)) (.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -1 binary64))) (pow.f64 (neg.f64 (+.f64 x y)) (*.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))) (pow.f64 (+.f64 x y) (*.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (+.f64 x y) (.f64 x #s(literal -1 binary64))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) x))
(.f64 (pow.f64 (.f64 (+.f64 x y) #s(literal 1 binary64)) (neg.f64 x)) (pow.f64 x x))
(*.f64 (pow.f64 (neg.f64 (+.f64 x y)) (neg.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (pow.f64 (neg.f64 (+.f64 x y)) (neg.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 (/.f64 x (+.f64 x y)) x))
(.f64 (pow.f64 (pow.f64 x (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 y y (.f64 (neg.f64 x) x))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (-.f64 y x) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (pow.f64 x (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (/.f64 x (+.f64 x y)) x))
(.f64 (pow.f64 (/.f64 x (fma.f64 y y (.f64 (neg.f64 x) x))) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (-.f64 y x) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (-.f64 x y) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 x (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 x (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (/.f64 x (+.f64 x y)) x))
(.f64 (pow.f64 (/.f64 x (fma.f64 y y (.f64 (neg.f64 x) x))) x) (pow.f64 (-.f64 y x) 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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) x))
(.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 x x (.f64 y (-.f64 y x))) x))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) x) (pow.f64 (neg.f64 x) x))
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (pow.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) x))
(*.f64 (pow.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 (+.f64 x y) x) (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 x x))
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 x y) (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.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 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) (/.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal -2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))
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(exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x))
(pow.f64 (/.f64 (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) (.f64 y y))) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64))) x))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))) (.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y)))) #s(literal -1 binary64)))

eval167.0ms (1.9%)

Memory: -8.1MiB live, 224.8MiB allocated
Compiler: Compiled 20 206 to 2 835 computations (86% saved)

prune49.0ms (0.5%)

Memory

-20.3MiB live, 106.0MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	898	6	904
Fresh	4	9	13
Picked	2	3	5
Done	0	5	5
Total	904	23	927

Accuracy

100.0%

Counts

927 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
	47.5%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x)) x)
	59.6%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)
	53.5%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)
	62.4%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (+.f64 y #s(literal 1 binary64)))) x)
✓	83.0%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
✓	57.5%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	73.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	61.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) (/.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
✓	62.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
	62.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64))))) y (/.f64 #s(literal 1 binary64) x)))
	49.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1/6 binary64) x)) (.f64 y y)))) y (/.f64 #s(literal 1 binary64) x)))
✓	61.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x)))
	59.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y x x)))
✓	35.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
✓	7.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x)))
✓	4.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	4.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
	4.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
	62.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	11.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) x) x)))
	6.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x) x)))
	65.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))

Compiler

Compiled 822 to 430 computations (47.7% saved)

regimes37.0ms (0.4%)

Memory

35.8MiB live, 72.8MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

13.0ms	y
11.0ms	x
11.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
99.2%	3	`x`
86.4%	2	`y`
93.3%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes34.0ms (0.4%)

Memory

-22.0MiB live, 52.9MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

12.0ms	x
11.0ms	y
9.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
80.0%	3	`y`
80.9%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
87.9%	3	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes11.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB 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 (neg.f64 y) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 y) x)) (.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (+.f64 y #s(literal 1 binary64)))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (.f64 y (/.f64 y x)) #s(literal -1/6 binary64)))) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 x (.f64 x x)) (.f64 y (/.f64 x (*.f64 x x)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) x) (.f64 x (/.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (/ (- 1 (* y y)) (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64))))) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) (/.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) #s(approx (/ (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1/6 binary64) x)) (.f64 y y)))) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
87.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

-27.8MiB live, 15.4MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
85.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.3%	2	`y`
73.4%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
77.4%	2	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes8.0ms (0.1%)

Memory

-24.9MiB live, 12.0MiB allocated

Accuracy

Total -44.1b remaining (-258.9%)

Threshold costs -44.1b (-258.9%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
73.4%	1	`y`
73.4%	1	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

bsearch29.0ms (0.3%)

Memory

9.1MiB live, 45.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.013947992587224742	231245869.57373062
22.0ms	-14.579315516197338	-3.68943668107483e-6

Samples

13.0ms	176×	0	valid
3.0ms	47×	0	invalid

Compiler

Compiled 124 to 156 computations (-25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

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

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

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

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

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

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

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

bsearch2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.013947992587224742	231245869.57373062
1.0ms	-14.579315516197338	-3.68943668107483e-6

Compiler

Compiled 242 to 238 computations (1.7% saved)

bsearch2.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.013947992587224742	231245869.57373062
1.0ms	-14.579315516197338	-3.68943668107483e-6

Compiler

Compiled 216 to 220 computations (-1.9% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.013947992587224742	231245869.57373062
1.0ms	-14.579315516197338	-3.68943668107483e-6

Compiler

Compiled 200 to 212 computations (-6% saved)

bsearch2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.013947992587224742	231245869.57373062
1.0ms	-14.579315516197338	-3.68943668107483e-6

Compiler

Compiled 173 to 194 computations (-12.1% saved)

bsearch5.0ms (0.1%)

Memory

-32.3MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-14.579315516197338	-3.68943668107483e-6

Compiler

Compiled 149 to 166 computations (-11.4% saved)

simplify44.0ms (0.5%)

Memory

5.4MiB live, 53.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	527
1	104	527
2	114	527
3	121	527
4	126	527
5	128	527

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 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 -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (+.f64 y #s(literal 1 binary64)))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (+.f64 y #s(literal 1 binary64)))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (/.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 -3602879701896397/72057594037927936 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 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 -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (+.f64 y #s(literal 1 binary64)))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (+.f64 y #s(literal 1 binary64)))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y))) x)))
(if (<=.f64 x #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (/.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)

soundness703.0ms (7.8%)

Memory

-2.0MiB live, 724.3MiB allocated

Rules

9 538×	`lower-fma.f64`
9 538×	`lower-fma.f32`
9 292×	`lower-fma.f64`
9 292×	`lower-fma.f32`
7 674×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	554	3184
1	1674	2659
2	5689	2574
0	8306	2445
0	1061	12163
1	3451	10698
0	8268	10159
0	8	39
0	14	39
1	48	35
2	276	35
3	2526	35
0	8637	35
0	670	10177
1	2078	8866
2	7436	8786
0	8097	8320

Stop Event

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

Compiler

Compiled 308 to 166 computations (46.1% saved)

preprocess114.0ms (1.3%)

Memory: 0.4MiB live, 156.3MiB allocated
Compiler: Compiled 528 to 184 computations (65.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze100.0ms (1.1%)

sample2.2s (25%)

explain294.0ms (3.3%)

preprocess95.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize118.0ms (1.3%)

series62.0ms (0.7%)

simplify244.0ms (2.7%)

rewrite209.0ms (2.3%)

eval131.0ms (1.5%)

prune16.0ms (0.2%)

simplify165.0ms (1.8%)

localize267.0ms (3%)

series60.0ms (0.7%)

simplify238.0ms (2.7%)

rewrite193.0ms (2.1%)

eval453.0ms (5.1%)

prune144.0ms (1.6%)

simplify212.0ms (2.4%)

localize221.0ms (2.5%)

series107.0ms (1.2%)

simplify296.0ms (3.3%)

rewrite262.0ms (2.9%)

eval298.0ms (3.3%)

prune48.0ms (0.5%)

simplify182.0ms (2%)

localize254.0ms (2.8%)

series103.0ms (1.1%)

simplify543.0ms (6.1%)

rewrite169.0ms (1.9%)

eval167.0ms (1.9%)

prune49.0ms (0.5%)

regimes37.0ms (0.4%)

regimes34.0ms (0.4%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch5.0ms (0.1%)

simplify44.0ms (0.5%)

soundness703.0ms (7.8%)

preprocess114.0ms (1.3%)

end0.0ms (0%)

Profiling