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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze68.0ms (0.7%)

Memory

19.5MiB live, 138.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample2.1s (22.2%)

Memory

33.0MiB live, 2 152.3MiB allocated

Samples

1.2s	3 717×	1	valid
459.0ms	4 539×	0	valid
19.0ms	281×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-log: 810.0ms (55.4% of total)

ival-div: 279.0ms (19.1% of total)

ival-exp: 111.0ms (7.6% of total)

ival-mult: 90.0ms (6.2% of total)

ival-add: 82.0ms (5.6% of total)

adjust: 81.0ms (5.5% of total)

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

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

Bogosity

explain235.0ms (2.5%)

Memory

-26.7MiB live, 227.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
151	37	(1.0113253313946393e+222 2.2625972341951736e-289)	4	(-3.8431928014653854e-178 -1.5548185163200072e+137)	`(log.f64 (/.f64 x (+.f64 x y)))`
40	0	-	3	(8.89281512933298e+169 1.0497001390690979e-142)	`(*.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	166	1
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	37	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	18	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	37
↳	`(/.f64 x (+.f64 x y))`	underflow	18

Confusion

	Predicted +	Predicted -
+	51	0
-	133	72

Precision

0.27717391304347827

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	51	0	0
-	133	1	71

Precision?

0.2756756756756757

Recall?

1.0

Freqs

test

number	freq
0	72
1	147
2	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	242×	1	valid
33.0ms	78×	2	valid
15.0ms	192×	0	valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-log: 47.0ms (54.3% of total)

ival-div: 15.0ms (17.3% of total)

ival-exp: 7.0ms (8.1% of total)

ival-add: 6.0ms (6.9% of total)

adjust: 6.0ms (6.9% of total)

ival-mult: 6.0ms (6.9% of total)

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

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

preprocess101.0ms (1.1%)

Memory

9.2MiB live, 44.5MiB 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

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.5%	(/.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

6.1MiB live, 6.1MiB 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

localize75.0ms (0.8%)

Memory

-5.7MiB live, 110.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy	0.01953125	(/.f64 x (+.f64 x y))
accuracy	9.007076724309691	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy	33.589631086809504	(log.f64 (/.f64 x (+.f64 x y)))

Samples

36.0ms	121×	1	valid
16.0ms	39×	2	valid
16.0ms	96×	0	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-log: 22.0ms (45.7% of total)

ival-div: 9.0ms (18.7% of total)

ival-add: 8.0ms (16.6% of total)

adjust: 3.0ms (6.2% of total)

ival-exp: 3.0ms (6.2% of total)

ival-mult: 3.0ms (6.2% of total)

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

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

series23.0ms (0.3%)

Memory

9.9MiB live, 47.4MiB 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
6.0ms	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	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)))
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)))

simplify198.0ms (2.1%)

Memory

-15.2MiB live, 286.4MiB 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 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
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(+ (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))

rewrite208.0ms (2.3%)

Memory

-2.5MiB live, 219.2MiB 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)))

eval74.0ms (0.8%)

Memory: 19.4MiB live, 175.8MiB allocated
Compiler: Compiled 10 853 to 2 255 computations (79.2% saved)

prune68.0ms (0.7%)

Memory

-30.7MiB live, 58.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

479 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.5%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
▶	85.1%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
▶	54.0%	(/.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)
▶	64.0%	(/.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)
	62.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
▶	76.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	80.4%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
	52.7%	#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)))
	51.9%	#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)))

Compiler

Compiled 270 to 194 computations (28.1% saved)

simplify315.0ms (3.4%)

Memory

6.9MiB live, 171.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(pow.f64 (/.f64 x (+.f64 y x)) x)
cost-diff	0	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(/.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)
cost-diff	640	(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)))
cost-diff	0	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(/.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)
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

19 628×	`lower-fma.f32`
19 618×	`lower-fma.f64`
3 376×	`lower-+.f32`
3 368×	`lower-+.f64`
2 246×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	348
0	63	348
1	92	336
2	170	336
3	658	336
4	2289	336
5	5654	336
0	8102	326

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

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

localize218.0ms (2.4%)

Memory

11.5MiB live, 245.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.01171875	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
accuracy	0.01953125	(/.f64 x (+.f64 y x))
accuracy	11.676141511132109	(pow.f64 (/.f64 x (+.f64 y x)) x)
accuracy	0.6625841852439227	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
accuracy	0.9825419785913933	(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))
accuracy	5.543747919172642	(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)))
accuracy	23.942795304308543	#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)))
accuracy	0.01171875	(/.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)
accuracy	0.0390625	(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))
accuracy	0.0546875	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
accuracy	23.20527487088735	#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)))
accuracy	0.01171875	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
accuracy	15.31323692156903	#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0	(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
accuracy	0.01171875	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy	21.94416616038003	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))

Samples

102.0ms	121×	1	valid
54.0ms	39×	2	valid
27.0ms	96×	0	valid

Compiler

Compiled 270 to 36 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-log: 39.0ms (26.1% of total)

ival-mult: 35.0ms (23.4% of total)

ival-add: 18.0ms (12% of total)

ival-div: 15.0ms (10% of total)

adjust: 14.0ms (9.4% of total)

ival-pow: 14.0ms (9.4% of total)

const: 9.0ms (6% 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)

series47.0ms (0.5%)

Memory

6.6MiB live, 89.4MiB allocated

Counts

20 → 456

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
9.0ms	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) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x 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) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)))
2.0ms	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) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)))
2.0ms	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) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)))
2.0ms	x	@	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) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)))

simplify279.0ms (3%)

Memory

19.0MiB live, 368.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 200×	`lower-fma.f64`
9 200×	`lower-fma.f32`
5 260×	`lower-*.f64`
5 260×	`lower-*.f32`
4 422×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	661	12361
1	2088	10604
2	7238	10475
0	8019	9888

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 450

Calls

Call 1

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

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

rewrite268.0ms (2.9%)

Memory

4.5MiB live, 280.1MiB allocated

Rules

4 086×	`lower-fma.f32`
4 076×	`lower-fma.f64`
3 958×	`lower-/.f32`
3 942×	`lower-/.f64`
3 486×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	293
0	63	281
1	273	281
2	2196	281
0	8113	276

Stop Event

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

Counts

20 → 426

Calls

Call 1

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

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

eval202.0ms (2.2%)

Memory: 2.7MiB live, 230.2MiB allocated
Compiler: Compiled 24 628 to 2 767 computations (88.8% saved)

prune38.0ms (0.4%)

Memory

-23.4MiB live, 74.8MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	890	10	900
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	895	14	909

Accuracy

100.0%

Counts

909 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.5%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
	43.7%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	85.1%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
▶	62.4%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
▶	68.2%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	68.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x)
▶	66.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) y #s(literal 1 binary64))) x)
▶	53.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) y #s(literal 1 binary64))) x)
	62.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x))) x)
	5.9%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))) x)
✓	76.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
▶	80.4%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
	76.3%	(.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)))
	52.7%	#s(approx (/ (pow (/ x (+ y x)) x) 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 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 y x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 347 to 267 computations (23.1% saved)

simplify225.0ms (2.4%)

Memory

6.7MiB live, 352.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) y #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) y #s(literal 1 binary64))) x)
cost-diff	128	(.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))
cost-diff	0	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) y #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) y #s(literal 1 binary64))) x)
cost-diff	128	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)
cost-diff	192	(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	(/.f64 (+.f64 y x) x)
cost-diff	0	(pow.f64 (/.f64 (+.f64 y x) x) x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))

Rules

33 608×	`lower-fma.f32`
33 594×	`lower-fma.f64`
3 476×	`lower-*.f32`
3 466×	`lower-*.f64`
3 112×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	643
0	97	643
1	152	621
2	266	621
3	783	621
4	2283	621
5	4259	612
6	6794	612
0	8058	579

Stop Event

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

Calls

Call 1

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

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

localize416.0ms (4.5%)

Memory

17.9MiB live, 427.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.6430529352439227	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
accuracy	8.465427004865028	(.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))
accuracy	22.046012880116017	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) y #s(literal 1 binary64)))
accuracy	32.7182022255725	#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y)))
accuracy	0.01171875	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) y #s(literal 1 binary64))) x)
accuracy	0.0390625	(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) y #s(literal 1 binary64))
accuracy	4.723969624659452	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)
accuracy	20.820769934634477	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) y #s(literal 1 binary64)))
accuracy	0.2574007996529355	(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))
accuracy	0.9747294785913933	(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64))
accuracy	22.046012880116017	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
accuracy	26.240962279402012	#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
accuracy	18.611295900884997	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
accuracy	0	(neg.f64 x)
accuracy	0.0078125	(/.f64 (+.f64 y x) x)
accuracy	0.0078125	(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))
accuracy	10.227072546381383	(pow.f64 (/.f64 (+.f64 y x) x) x)

Samples

210.0ms	105×	1	valid
122.0ms	128×	0	valid
9.0ms	8×	1	exit
6.0ms	15×	0	exit

Compiler

Compiled 375 to 54 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-add: 103.0ms (34.8% of total)

ival-mult: 58.0ms (19.6% of total)

ival-div: 52.0ms (17.6% of total)

ival-pow: 30.0ms (10.1% of total)

ival-log: 16.0ms (5.4% of total)

adjust: 15.0ms (5.1% of total)

const: 13.0ms (4.4% of total)

ival-exp: 3.0ms (1% of total)

ival-sub: 3.0ms (1% of total)

ival-neg: 3.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series396.0ms (4.3%)

Memory

-33.6MiB live, 123.4MiB allocated

Counts

23 → 516

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
99.0ms	y	@	0	((* (neg x) (pow (/ (+ y x) x) x)) (neg 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) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* (- -1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (* y y)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)))
83.0ms	x	@	0	((* (neg x) (pow (/ (+ y x) x) x)) (neg 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) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* (- -1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (* y y)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)))
16.0ms	y	@	-inf	((* (neg x) (pow (/ (+ y x) x) x)) (neg 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) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* (- -1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (* y y)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)))
5.0ms	y	@	inf	((* (neg x) (pow (/ (+ y x) x) x)) (neg 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) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* (- -1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (* y y)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)))
4.0ms	x	@	inf	((* (neg x) (pow (/ (+ y x) x) x)) (neg 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) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* (- -1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (* y y)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)))

simplify260.0ms (2.8%)

Memory

40.9MiB live, 228.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 412×	`lower-fma.f64`
11 412×	`lower-fma.f32`
7 032×	`lower-*.f64`
7 032×	`lower-*.f32`
5 646×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	775	13057
1	2483	11512
0	8326	10855

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

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

rewrite268.0ms (2.9%)

Memory

8.9MiB live, 289.4MiB allocated

Rules

4 184×	`lower-/.f32`
4 168×	`lower-/.f64`
3 602×	`lower-*.f32`
3 592×	`lower-*.f64`
3 100×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	544
0	95	532
1	417	523
2	3510	523
0	8732	502

Stop Event

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

Counts

23 → 443

Calls

Call 1

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

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

eval135.0ms (1.5%)

Memory: -9.4MiB live, 365.8MiB allocated
Compiler: Compiled 24 742 to 3 126 computations (87.4% saved)

prune64.0ms (0.7%)

Memory

10.2MiB live, 178.0MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	948	11	959
Fresh	3	3	6
Picked	2	3	5
Done	0	3	3
Total	953	20	973

Accuracy

100.0%

Counts

973 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.5%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
	43.7%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	85.1%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
✓	62.4%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
▶	4.0%	(/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x)
✓	68.2%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	68.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x)
	70.2%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x)
	67.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (* y y)) (.f64 (.f64 #s(literal -1/6 binary64) y) y))) y #s(literal 1 binary64))) x)
	62.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x))) x)
▶	5.9%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) x)
✓	76.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	68.2%	(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))
✓	80.4%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
	42.6%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x)))
▶	58.4%	(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
▶	68.3%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
	58.4%	(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))))
	68.3%	(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x))))
▶	70.5%	(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))))

Compiler

Compiled 485 to 372 computations (23.3% saved)

simplify174.0ms (1.9%)

Memory

10.3MiB live, 277.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

21 278×	`lower-fma.f32`
21 266×	`lower-fma.f64`
3 272×	`lower-*.f32`
3 262×	`lower-*.f64`
2 846×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	498
0	89	498
1	151	492
2	308	492
3	767	492
4	1908	492
5	5834	492
0	8112	480

Stop Event

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

Calls

Call 1

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

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

localize284.0ms (3.1%)

Memory

0.3MiB live, 539.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.6430529352439227	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
accuracy	0.9708232285913933	(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64))
accuracy	5.516404169172642	(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	16.954337458055303	#s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0.0078125	(*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
accuracy	0.03515625	(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.05859375	(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64))
accuracy	17.329753520387147	#s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) x)
accuracy	0.125	(.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)
accuracy	20.820769934634477	#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)))
accuracy	43.918439509149266	#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x)
accuracy	18.611295900884997	#s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y)))
accuracy	39.23892426052152	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(fma.f64 y x x)
accuracy	0	(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))))
accuracy	0	(neg.f64 (fma.f64 y x x))
accuracy	13.186770865757108	#s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))

Samples

181.0ms	105×	1	valid
50.0ms	128×	0	valid
8.0ms	8×	1	exit
7.0ms	15×	0	exit

Compiler

Compiled 319 to 53 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

adjust: 55.0ms (25.8% of total)

const: 31.0ms (14.6% of total)

ival-pow: 29.0ms (13.6% of total)

ival-mult: 27.0ms (12.7% of total)

ival-div: 21.0ms (9.9% of total)

ival-log: 19.0ms (8.9% of total)

ival-add: 18.0ms (8.5% of total)

ival-sub: 4.0ms (1.9% of total)

ival-neg: 4.0ms (1.9% of total)

ival-exp: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series79.0ms (0.9%)

Memory

-19.2MiB live, 58.5MiB allocated

Counts

22 → 480

Calls

Call 1

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

Outputs
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))) (patch #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))) (patch #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (+ (* -1 x) (* -1 (* x (* y (- 1/2 (* 1/2 (/ 1 x))))))))) (taylor 0 y) (#s(alt #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))) (patch #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (+ (* -1 x) (* y (+ (* -1 (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))))) (taylor 0 y) (#s(alt #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))) (patch #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (neg.f64 (fma.f64 y x x)) (patch (neg.f64 (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x y)) x) (taylor 0 y) (#s(alt (neg.f64 (fma.f64 y x x)) (patch (neg.f64 (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x y)) x) (taylor 0 y) (#s(alt (neg.f64 (fma.f64 y x x)) (patch (neg.f64 (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x y)) x) (taylor 0 y) (#s(alt (neg.f64 (fma.f64 y x x)) (patch (neg.f64 (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x) (patch (/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x) (patch (/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x) (patch (/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x) (patch (/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 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 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (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 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 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) 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 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) 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 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) 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 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (exp y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) (patch (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf x) (#s(alt #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))) (taylor -inf x) (#s(alt #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp y) (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))) (taylor -inf x) (#s(alt #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))) (taylor -inf x) (#s(alt #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 y)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ y x)) (* 1/2 y))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ y x)) (* 1/2 y))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ y x)) (* 1/2 y))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1/2 (* 1/6 y)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* y (+ 1/2 (* 1/2 y))) x)) (* y (+ 1/2 (* 1/6 y))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (+ 1/2 (* 1/2 y)))) x)) (* y (+ 1/2 (* 1/6 y))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (+ 1/2 (* 1/2 y)))) x)) (* y (+ 1/2 (* 1/6 y))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	y	@	0	((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg (+ (* y x) x)) (+ (* y x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (* (/ y x) 1/2) y) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (+ (* (+ (* (- 1/2 (/ 1/2 x)) y) 1) y) 1) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (* (neg x) (pow (/ (+ y x) x) x)) (pow (/ (+ y x) x) x) (+ (* (- 1/2 (/ 1/2 x)) y) 1) (+ (* (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) y) 1) (/ 1/3 (* x x)))
5.0ms	y	@	-inf	((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg (+ (* y x) x)) (+ (* y x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (* (/ y x) 1/2) y) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (+ (* (+ (* (- 1/2 (/ 1/2 x)) y) 1) y) 1) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (* (neg x) (pow (/ (+ y x) x) x)) (pow (/ (+ y x) x) x) (+ (* (- 1/2 (/ 1/2 x)) y) 1) (+ (* (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) y) 1) (/ 1/3 (* x x)))
4.0ms	y	@	inf	((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg (+ (* y x) x)) (+ (* y x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (* (/ y x) 1/2) y) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (+ (* (+ (* (- 1/2 (/ 1/2 x)) y) 1) y) 1) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (* (neg x) (pow (/ (+ y x) x) x)) (pow (/ (+ y x) x) x) (+ (* (- 1/2 (/ 1/2 x)) y) 1) (+ (* (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) y) 1) (/ 1/3 (* x x)))
4.0ms	x	@	inf	((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg (+ (* y x) x)) (+ (* y x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (* (/ y x) 1/2) y) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (+ (* (+ (* (- 1/2 (/ 1/2 x)) y) 1) y) 1) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (* (neg x) (pow (/ (+ y x) x) x)) (pow (/ (+ y x) x) x) (+ (* (- 1/2 (/ 1/2 x)) y) 1) (+ (* (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) y) 1) (/ 1/3 (* x x)))
4.0ms	x	@	-inf	((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg (+ (* y x) x)) (+ (* y x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (* (/ y x) 1/2) y) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (+ (* (+ (* (- 1/2 (/ 1/2 x)) y) 1) y) 1) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (* (neg x) (pow (/ (+ y x) x) x)) (pow (/ (+ y x) x) x) (+ (* (- 1/2 (/ 1/2 x)) y) 1) (+ (* (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) y) 1) (/ 1/3 (* x x)))

simplify293.0ms (3.2%)

Memory

34.7MiB live, 262.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 878×	`lower-fma.f64`
10 878×	`lower-fma.f32`
6 672×	`lower-+.f64`
6 672×	`lower-+.f32`
6 304×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	921	11636
1	2952	10336
0	8623	9770

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 479

Calls

Call 1

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

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

rewrite269.0ms (2.9%)

Memory

-36.0MiB live, 168.7MiB allocated

Rules

5 832×	`lower-*.f32`
5 822×	`lower-*.f64`
3 482×	`lower-/.f32`
3 470×	`lower-/.f64`
2 580×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	346
0	85	342
1	370	342
2	2827	334
0	8688	328

Stop Event

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

Counts

22 → 275

Calls

Call 1

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

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

eval168.0ms (1.8%)

Memory: 38.9MiB live, 190.6MiB allocated
Compiler: Compiled 20 842 to 2 570 computations (87.7% saved)

prune89.0ms (1%)

Memory

-8.8MiB live, 75.9MiB allocated

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	767	6	773
Fresh	1	8	9
Picked	2	3	5
Done	0	6	6
Total	770	23	793

Accuracy

100.0%

Counts

793 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.5%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
	43.7%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	85.1%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
✓	62.4%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	4.0%	(/.f64 #s(approx (pow (/ x (+ y x)) x) #s(approx (- 1 y) (neg.f64 y))) x)
✓	68.2%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	68.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x)
	70.2%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x)
	67.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (* y y)) (.f64 (.f64 #s(literal -1/6 binary64) y) y))) y #s(literal 1 binary64))) x)
	62.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x))) x)
✓	5.9%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))) x)
✓	76.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	68.2%	(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))
✓	80.4%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
	42.6%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x)))
	72.8%	(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
	35.3%	(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64))) x (.f64 #s(literal 1/3 binary64) y)) (.f64 x x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
	72.2%	(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64)))))
	32.6%	(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) y) 1) (/.f64 (fma.f64 (fma.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 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) y)) x (.f64 (.f64 #s(literal 1/3 binary64) y) y)) (.f64 x x))) y #s(literal 1 binary64)))))
	8.0%	(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) #s(approx (+ ( (+ (* (- 1/2 (/ 1/2 x)) y) 1) y) 1) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) x))))))
	58.4%	(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))))
✓	70.5%	(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))))
	11.5%	(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 #s(approx (+ (* y x) x) (*.f64 y x)))))

Compiler

Compiled 921 to 466 computations (49.4% saved)

regimes45.0ms (0.5%)

Memory

-22.6MiB live, 52.2MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

20.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
13.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
99.2%	3	`x`
85.1%	1	`y`
93.1%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes21.0ms (0.2%)

Memory

-1.0MiB live, 42.5MiB allocated

Counts

29 → 4

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
8.0ms	x

Results

Accuracy	Segments	Branch
84.0%	4	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
90.8%	4	`x`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
90.0%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

9 → 4

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
80.5%	2	`y`
88.4%	4	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

-26.0MiB live, 11.7MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
88.4%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Accuracy

Total -47.5b remaining (-313.2%)

Threshold costs -47.5b (-313.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.3%	1	`y`
76.3%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
76.3%	1	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch26.0ms (0.3%)

Memory

3.6MiB live, 41.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.282644219452137e-5	443.8236134566793
21.0ms	-1463882.5369220227	-0.09784640547113119

Samples

14.0ms	160×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 114 to 143 computations (-25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (31% of total)

ival-log: 3.0ms (31% of total)

ival-exp: 2.0ms (20.7% of total)

ival-add: 1.0ms (10.3% of total)

ival-mult: 1.0ms (10.3% of total)

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

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

bsearch95.0ms (1%)

Memory

-21.7MiB live, 59.9MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.282644219452137e-5	443.8236134566793
1.0ms	-1463882.5369220227	-0.09784640547113119
90.0ms	-8.344553925528187e+256	-4.712798262157828e+242

Samples

52.0ms	143×	1	valid
1.0ms	17×	0	valid
0.0ms	6×	0	invalid

Compiler

Compiled 507 to 485 computations (4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-log: 35.0ms (73.3% of total)

ival-div: 5.0ms (10.5% of total)

ival-add: 2.0ms (4.2% of total)

adjust: 2.0ms (4.2% of total)

ival-exp: 2.0ms (4.2% of total)

ival-mult: 2.0ms (4.2% of total)

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

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

bsearch4.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.282644219452137e-5	443.8236134566793
1.0ms	-1463882.5369220227	-0.09784640547113119
2.0ms	-8.344553925528187e+256	-4.712798262157828e+242

Compiler

Compiled 474 to 463 computations (2.3% saved)

bsearch34.0ms (0.4%)

Memory

14.9MiB live, 50.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
29.0ms	2.384293524864586e+57	4.170153247362609e+58
1.0ms	-1463882.5369220227	-0.09784640547113119
1.0ms	-8.344553925528187e+256	-4.712798262157828e+242

Samples

22.0ms	86×	1	valid
2.0ms	26×	0	valid
1.0ms	9×	0	invalid

Compiler

Compiled 480 to 492 computations (-2.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 12.0ms (59.2% of total)

ival-div: 3.0ms (14.8% of total)

ival-exp: 2.0ms (9.9% of total)

adjust: 1.0ms (4.9% of total)

ival-add: 1.0ms (4.9% of total)

ival-mult: 1.0ms (4.9% of total)

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

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

bsearch61.0ms (0.7%)

Memory

-23.3MiB live, 97.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.384293524864586e+57	4.170153247362609e+58
1.0ms	-1463882.5369220227	-0.09784640547113119
56.0ms	-9.020808782466278e+224	-8.612536209759378e+212

Samples

48.0ms	153×	1	valid
1.0ms	10×	0	invalid
1.0ms	7×	0	valid

Compiler

Compiled 423 to 454 computations (-7.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-log: 24.0ms (58.5% of total)

ival-div: 5.0ms (12.2% of total)

ival-mult: 5.0ms (12.2% of total)

ival-add: 2.0ms (4.9% of total)

adjust: 2.0ms (4.9% of total)

ival-exp: 2.0ms (4.9% of total)

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

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

bsearch38.0ms (0.4%)

Memory

27.6MiB live, 65.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.384293524864586e+57	4.170153247362609e+58
34.0ms	-6.503256979899959e+51	-1.6848269155845786e+48

Samples

24.0ms	105×	1	valid
2.0ms	33×	0	invalid
2.0ms	23×	0	valid

Compiler

Compiled 194 to 223 computations (-14.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log: 12.0ms (53% of total)

ival-div: 4.0ms (17.7% of total)

ival-exp: 2.0ms (8.8% of total)

ival-add: 2.0ms (8.8% of total)

ival-mult: 2.0ms (8.8% of total)

adjust: 1.0ms (4.4% of total)

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

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

simplify29.0ms (0.3%)

Memory

-11.8MiB live, 65.9MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
20×	`neg-sub0-binary64--.f64-neg.f64`
20×	`+-commutative-binary64-+.f64`
20×	`neg-mul-1-binary64-*.f64-neg.f64`
20×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	595
1	112	595
2	134	595
3	156	595
4	168	595
5	173	595
6	174	595

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 7378697629483821/147573952589676412928 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 -18500000000000000130069938555397948757304787419044227972854339266426393147172058543820052713004836769423664190602556720718685087434120396395618292016170926342688800963754477085944018323453486231581676156862025317817658032641851549398060650574196506624 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (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 7378697629483821/147573952589676412928 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -18500000000000000130069938555397948757304787419044227972854339266426393147172058543820052713004836769423664190602556720718685087434120396395618292016170926342688800963754477085944018323453486231581676156862025317817658032641851549398060650574196506624 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (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 7378697629483821/147573952589676412928 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -18500000000000000130069938555397948757304787419044227972854339266426393147172058543820052713004836769423664190602556720718685087434120396395618292016170926342688800963754477085944018323453486231581676156862025317817658032641851549398060650574196506624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (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 3300000000000000107276712422270926901869363289919099764736 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))))
(if (<=.f64 x #s(literal -66000000000000002255817668249999922554958681026073460442921387930724466965493102142902210897567485155932210074036471307389687090611090212102682460368232629153095324928272175100627824041682854909100658926725942476800 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 3300000000000000107276712422270926901869363289919099764736 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))))
(if (<=.f64 x #s(literal -3799999999999999708394005805591011729793080023318528 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal 3300000000000000107276712422270926901869363289919099764736 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

Outputs
(if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 7378697629483821/147573952589676412928 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 -18500000000000000130069938555397948757304787419044227972854339266426393147172058543820052713004836769423664190602556720718685087434120396395618292016170926342688800963754477085944018323453486231581676156862025317817658032641851549398060650574196506624 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (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 7378697629483821/147573952589676412928 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -18500000000000000130069938555397948757304787419044227972854339266426393147172058543820052713004836769423664190602556720718685087434120396395618292016170926342688800963754477085944018323453486231581676156862025317817658032641851549398060650574196506624 binary64)) (/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (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 -3602879701896397/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (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 7378697629483821/147573952589676412928 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (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 -18500000000000000130069938555397948757304787419044227972854339266426393147172058543820052713004836769423664190602556720718685087434120396395618292016170926342688800963754477085944018323453486231581676156862025317817658032641851549398060650574196506624 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (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 7378697629483821/147573952589676412928 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -18500000000000000130069938555397948757304787419044227972854339266426393147172058543820052713004836769423664190602556720718685087434120396395618292016170926342688800963754477085944018323453486231581676156862025317817658032641851549398060650574196506624 binary64)) (/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))) x)) (if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (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 7378697629483821/147573952589676412928 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 #s(approx (+ ( (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))) x)))))
(if (<=.f64 x #s(literal -18500000000000000130069938555397948757304787419044227972854339266426393147172058543820052713004836769423664190602556720718685087434120396395618292016170926342688800963754477085944018323453486231581676156862025317817658032641851549398060650574196506624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (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 3300000000000000107276712422270926901869363289919099764736 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))))
(if (<=.f64 x #s(literal -66000000000000002255817668249999922554958681026073460442921387930724466965493102142902210897567485155932210074036471307389687090611090212102682460368232629153095324928272175100627824041682854909100658926725942476800 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal -3602879701896397/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 3300000000000000107276712422270926901869363289919099764736 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))))
(if (<=.f64 x #s(literal -3799999999999999708394005805591011729793080023318528 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal 3300000000000000107276712422270926901869363289919099764736 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

soundness1.1s (12.1%)

Memory

-62.2MiB live, 888.5MiB allocated

Rules

11 412×	`lower-fma.f64`
11 412×	`lower-fma.f32`
10 878×	`lower-fma.f64`
10 878×	`lower-fma.f32`
9 292×	`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	661	12361
1	2088	10604
2	7238	10475
0	8019	9888
0	921	11636
1	2952	10336
0	8623	9770
0	775	13057
1	2483	11512
0	8326	10855
0	8	39
0	14	39
1	48	35
2	276	35
3	2526	35
0	8637	35

Stop Event

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

Compiler

Compiled 398 to 201 computations (49.5% saved)

preprocess136.0ms (1.5%)

Memory: -22.1MiB live, 306.0MiB allocated
Compiler: Compiled 644 to 194 computations (69.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze68.0ms (0.7%)

sample2.1s (22.2%)

explain235.0ms (2.5%)

preprocess101.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize75.0ms (0.8%)

series23.0ms (0.3%)

simplify198.0ms (2.1%)

rewrite208.0ms (2.3%)

eval74.0ms (0.8%)

prune68.0ms (0.7%)

simplify315.0ms (3.4%)

localize218.0ms (2.4%)

series47.0ms (0.5%)

simplify279.0ms (3%)

rewrite268.0ms (2.9%)

eval202.0ms (2.2%)

prune38.0ms (0.4%)

simplify225.0ms (2.4%)

localize416.0ms (4.5%)

series396.0ms (4.3%)

simplify260.0ms (2.8%)

rewrite268.0ms (2.9%)

eval135.0ms (1.5%)

prune64.0ms (0.7%)

simplify174.0ms (1.9%)

localize284.0ms (3.1%)

series79.0ms (0.9%)

simplify293.0ms (3.2%)

rewrite269.0ms (2.9%)

eval168.0ms (1.8%)

prune89.0ms (1%)

regimes45.0ms (0.5%)

regimes21.0ms (0.2%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

bsearch26.0ms (0.3%)

bsearch95.0ms (1%)

bsearch4.0ms (0%)

bsearch34.0ms (0.4%)

bsearch61.0ms (0.7%)

bsearch38.0ms (0.4%)

simplify29.0ms (0.3%)

soundness1.1s (12.1%)

preprocess136.0ms (1.5%)

end0.0ms (0%)

Profiling