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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze116.0ms (1.1%)

Memory

-1.6MiB live, 120.0MiB 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)

sample2.6s (24.4%)

Memory

-148.2MiB live, 2 536.5MiB allocated

Samples

1.7s	3 690×	1	valid
522.0ms	4 566×	0	valid
18.0ms	280×	0	invalid

Precisions

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

ival-log: 884.0ms (44.9% of total)

ival-div: 591.0ms (30% of total)

ival-exp: 185.0ms (9.4% of total)

ival-add: 168.0ms (8.5% of total)

ival-mult: 79.0ms (4% of total)

adjust: 51.0ms (2.6% of total)

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

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain193.0ms (1.8%)

Memory

-21.2MiB live, 236.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
155	38	(9.377736847520417e+201 -2.285023620355051e-134)	3	(5.4371584492075254e-164 1.4904731792856618e+150)	`(log.f64 (/.f64 x (+.f64 x y)))`
40	0	-	3	(5.4142665069458546e+174 1.547835006897225e-146)	`(*.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	162	0
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	37	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	28	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	37
↳	`(/.f64 x (+.f64 x y))`	underflow	28

Confusion

	Predicted +	Predicted -
+	71	0
-	119	66

Precision

0.3736842105263158

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	119	0	66

Precision?

0.3736842105263158

Recall?

1.0

Freqs

test

number	freq
0	66
1	153
2	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms	224×	1	valid
35.0ms	84×	2	valid
16.0ms	204×	0	valid

Compiler

Compiled 105 to 28 computations (73.3% saved)

Precisions

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

ival-log: 45.0ms (51.5% of total)

ival-div: 19.0ms (21.7% of total)

ival-exp: 7.0ms (8% of total)

adjust: 6.0ms (6.9% of total)

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

ival-add: 5.0ms (5.7% of total)

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

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

preprocess98.0ms (0.9%)

Memory

5.7MiB live, 40.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.8%	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify4.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (0.7%)

Memory

-11.0MiB live, 113.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy	0.01171875	(/.f64 x (+.f64 x y))
accuracy	9.120486799985555	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy	34.68387654342757	(log.f64 (/.f64 x (+.f64 x y)))

Samples

27.0ms	112×	1	valid
20.0ms	42×	2	valid
8.0ms	102×	0	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-log: 23.0ms (51.7% of total)

ival-div: 6.0ms (13.5% of total)

adjust: 6.0ms (13.5% of total)

ival-add: 3.0ms (6.7% of total)

ival-exp: 3.0ms (6.7% of total)

ival-mult: 3.0ms (6.7% of total)

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

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

series47.0ms (0.4%)

Memory

-13.6MiB live, 23.8MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
25.0ms	y	@	0	(* x (log (/ x (+ x y))))
2.0ms	x	@	inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	x	@	inf	(/ (exp (* x (log (/ x (+ x y))))) x)
2.0ms	x	@	-inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	y	@	inf	(exp (* x (log (/ x (+ x y)))))

simplify281.0ms (2.6%)

Memory

-12.2MiB live, 395.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite303.0ms (2.9%)

Memory

33.2MiB live, 407.9MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

5 → 358

Calls

Call 1

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

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

eval64.0ms (0.6%)

Memory: 26.2MiB live, 141.0MiB allocated
Compiler: Compiled 11 604 to 2 151 computations (81.5% saved)

prune172.0ms (1.6%)

Memory

-32.2MiB live, 147.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	468	10	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	10	479

Accuracy

100.0%

Counts

479 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.8%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	67.6%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) x)
▶	80.5%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
▶	54.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
▶	49.9%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	54.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
▶	72.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	72.6%	(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x)))
▶	73.8%	(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))
	46.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 296 to 180 computations (39.2% saved)

simplify333.0ms (3.1%)

Memory

25.8MiB live, 446.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 x (+.f64 x y))
cost-diff	0	(pow.f64 (/.f64 x (+.f64 x y)) x)
cost-diff	320	(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
cost-diff	128	(.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))))))
cost-diff	384	(-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))
cost-diff	0	(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
cost-diff	0	(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
cost-diff	0	(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
cost-diff	0	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)

Rules

21 690×	`lower-fma.f32`
21 682×	`lower-fma.f64`
2 958×	`lower-+.f32`
2 948×	`lower-+.f64`
2 510×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	379
0	68	381
1	124	365
2	286	365
3	808	365
4	2283	365
5	6263	365
0	8108	352

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

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

localize365.0ms (3.4%)

Memory

-14.6MiB live, 419.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(/.f64 x (+.f64 x y))
accuracy	0.015625	(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))
accuracy	17.094345256669502	(pow.f64 (/.f64 x (+.f64 x y)) x)
accuracy	0.46033630199619013	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
accuracy	0.9931176981372472	(fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64))
accuracy	3.0400379271596174	(.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))))
accuracy	28.68922261413812	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0.00390625	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
accuracy	0.01953125	(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	0.05078125	(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
accuracy	29.298338766267175	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0.00390625	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
accuracy	17.57182109015328	#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	0.00390625	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy	23.388389805253755	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))

Samples

175.0ms	112×	1	valid
101.0ms	42×	2	valid
34.0ms	102×	0	valid

Compiler

Compiled 298 to 36 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-pow: 82.0ms (32.1% of total)

ival-add: 43.0ms (16.8% of total)

ival-div: 41.0ms (16% of total)

ival-mult: 34.0ms (13.3% of total)

ival-log: 24.0ms (9.4% of total)

adjust: 14.0ms (5.5% of total)

const: 11.0ms (4.3% of total)

ival-exp: 4.0ms (1.6% of total)

ival-sub: 2.0ms (0.8% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory

10.5MiB live, 95.2MiB allocated

Counts

21 → 480

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

120 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ 1/3 (* x x))
2.0ms	x	@	-inf	(+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1)
1.0ms	y	@	0	(- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))
1.0ms	y	@	0	(* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))
1.0ms	y	@	inf	(- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))

simplify380.0ms (3.6%)

Memory

6.4MiB live, 502.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 568×	`lower-fma.f64`
9 568×	`lower-fma.f32`
4 982×	`lower-*.f64`
4 982×	`lower-*.f32`
4 546×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	641	12443
1	2004	10668
2	6655	10370
0	8087	9805

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 474

Calls

Call 1

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

rewrite363.0ms (3.4%)

Memory

17.0MiB live, 536.5MiB allocated

Rules

6 190×	`lower-*.f32`
6 184×	`lower-*.f64`
3 836×	`lower-fma.f32`
3 828×	`lower-fma.f64`
3 570×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	300
0	68	286
1	298	286
2	2512	286
0	8668	280

Stop Event

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

Counts

21 → 451

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

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

eval187.0ms (1.8%)

Memory: -0.2MiB live, 345.9MiB allocated
Compiler: Compiled 31 386 to 2 816 computations (91% saved)

prune149.0ms (1.4%)

Memory

20.6MiB live, 388.2MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	909	16	925
Fresh	1	4	5
Picked	1	4	5
Done	0	0	0
Total	911	24	935

Accuracy

100.0%

Counts

935 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.8%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	67.6%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) x)
✓	80.5%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
✓	54.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	56.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))) (*.f64 y #s(literal 1/6 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	56.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) #s(approx (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))) (fma.f64 y #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	39.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) #s(approx (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	60.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	43.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
▶	30.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	49.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) (fma.f64 y (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) #s(literal -1 binary64))) #s(literal 1 binary64))) x)
	58.6%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (/ 1/2 x))) -1) (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) x)
	56.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (/ 1/2 x))) -1) (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))) x)
	29.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 y (.f64 y #s(literal -1/3 binary64)))) (.f64 x x))) #s(literal 1 binary64))) x)
	49.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1) (.f64 (.f64 y y) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal 1 binary64))) x)
	27.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1) (.f64 (.f64 y y) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))) x)
	54.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (fma.f64 y (.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) x)
▶	54.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
▶	54.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal 1/2 binary64)))) x))) x)
▶	7.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x))) x)
✓	72.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	72.6%	(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x)))
✓	73.8%	(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))
	54.7%	(*.f64 #s(approx (pow (/ x (+ x y)) x) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 935 to 535 computations (42.8% saved)

simplify277.0ms (2.6%)

Memory

-16.6MiB live, 335.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

15 812×	`lower-fma.f32`
15 794×	`lower-fma.f64`
3 702×	`lower-*.f32`
3 694×	`lower-*.f64`
2 144×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	633
0	93	633
1	187	617
2	430	617
3	1163	617
4	2435	607
5	4540	607
6	6407	607
0	8145	580

Stop Event

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

Calls

Call 1

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

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

localize337.0ms (3.2%)

Memory

-7.9MiB live, 400.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3125	(*.f64 y #s(literal -1/3 binary64))
accuracy	0.9931176981372472	(fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64))
accuracy	24.74274138385692	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))
accuracy	28.68922261413812	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0.00390625	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal 1/2 binary64)))) x))) x)
accuracy	4.451637511192388	(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal 1/2 binary64)))) x)
accuracy	5.074200172471853	(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal 1/2 binary64))))
accuracy	29.298338766267175	#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal 1/2 binary64)))) x)))
accuracy	0.00390625	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x))) x)
accuracy	7.303288058419031	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
accuracy	29.298338766267175	#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)))
accuracy	46.65733758258354	#s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
accuracy	29.097755708743097	#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
accuracy	0.01171875	(/.f64 x (+.f64 x y))
accuracy	17.094345256669502	(pow.f64 (/.f64 x (+.f64 x y)) x)

Samples

173.0ms	114×	1	valid
58.0ms	142×	0	valid

Compiler

Compiled 369 to 57 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-pow: 56.0ms (28.2% of total)

ival-div: 38.0ms (19.1% of total)

ival-mult: 30.0ms (15.1% of total)

ival-add: 24.0ms (12.1% of total)

ival-log: 18.0ms (9.1% of total)

const: 15.0ms (7.6% of total)

adjust: 13.0ms (6.5% of total)

ival-exp: 3.0ms (1.5% of total)

ival-sub: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series56.0ms (0.5%)

Memory

33.7MiB live, 71.0MiB allocated

Counts

22 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ (+ (* x (+ (* x (+ (* y -1/6) 1/2)) (+ (* y -1/2) 1/2))) (* y -1/3)) (* x x))
2.0ms	y	@	-inf	(/ (+ (* x (+ (* x (+ (* y -1/6) 1/2)) (+ (* y -1/2) 1/2))) (* y -1/3)) (* x x))
1.0ms	y	@	0	(/ (+ (* x (+ (* x (+ (* y -1/6) 1/2)) (+ (* y -1/2) 1/2))) (* y -1/3)) (* x x))
1.0ms	y	@	inf	(/ (+ (* x (+ (* x (+ (* y -1/6) 1/2)) (+ (* y -1/2) 1/2))) (* y -1/3)) (* x x))
1.0ms	x	@	0	(/ (* y (* y 1/2)) x)

simplify377.0ms (3.5%)

Memory

-18.4MiB live, 376.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 636×	`lower-fma.f64`
8 636×	`lower-fma.f32`
5 378×	`lower-*.f64`
5 378×	`lower-*.f32`
4 644×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	623	12820
1	2002	11145
2	6855	10845
0	8156	10183

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 497

Calls

Call 1

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

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

rewrite304.0ms (2.9%)

Memory

19.2MiB live, 545.8MiB allocated

Rules

3 994×	`lower-/.f32`
3 976×	`lower-/.f64`
3 972×	`lower-*.f32`
3 964×	`lower-*.f64`
3 850×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	510
0	93	494
1	457	494
2	4036	494
0	9157	478

Stop Event

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

Counts

22 → 435

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) x))
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (.f64 y (.f64 y y)) #s(literal -1/27 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (.f64 (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (.f64 y #s(literal -1/3 binary64)) (-.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/3 binary64) y)) (*.f64 x x))))
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(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/3 binary64) y))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/3 binary64) y))))
(pow.f64 (/.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (*.f64 x x)))
(.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
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(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))))
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(.f64 (pow.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/3 binary64) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/3 binary64) y))))
(*.f64 y #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) y)

eval160.0ms (1.5%)

Memory: -9.5MiB live, 298.2MiB allocated
Compiler: Compiled 27 510 to 1 980 computations (92.8% saved)

prune211.0ms (2%)

Memory

-17.1MiB live, 430.7MiB allocated

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	915	17	932
Fresh	6	9	15
Picked	1	4	5
Done	0	4	4
Total	922	34	956

Accuracy

100.0%

Counts

956 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	42.4%	(/.f64 (pow.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) x) x)
	67.6%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) x)
✓	80.5%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
✓	54.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	56.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))) (*.f64 y #s(literal 1/6 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	56.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) #s(approx (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))) (fma.f64 y #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	39.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) #s(approx (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	60.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
▶	43.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
✓	30.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
▶	41.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) x) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	30.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	30.2%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) #s(approx (/ (+ (* x (+ (* x (+ (* y -1/6) 1/2)) (+ (* y -1/2) 1/2))) (* y -1/3)) (* x x)) (/.f64 (.f64 y (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (.f64 x (neg.f64 x))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	29.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) #s(approx (/ (+ (* x (+ (* x (+ (* y -1/6) 1/2)) (+ (* y -1/2) 1/2))) (* y -1/3)) (* x x)) (.f64 y (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	58.6%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (/ 1/2 x))) -1) (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) x)
	29.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 y y) #s(literal -1/3 binary64))) (.f64 x x))) #s(literal 1 binary64))) x)
	54.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (fma.f64 y (.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) x)
✓	54.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
	30.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (+.f64 (.f64 #s(approx (+ 1/2 (- (/ 1/2 x) ( y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) x)
▶	4.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
✓	7.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x))) x)
	59.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 #s(approx (+ (* x (+ (* y (+ (* y 1/2) -1)) 1)) (* y (* y 1/2))) (-.f64 x (*.f64 x y))) x))) x)
	10.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 #s(approx (+ (* x (+ (* y (+ (* y 1/2) -1)) 1)) (* y (* y 1/2))) (.f64 (.f64 y y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x))) x)
▶	7.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) y))) x)
	7.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (.f64 y (.f64 y (/.f64 #s(literal 1/2 binary64) x))))) x)
	28.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1)) 1) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (.f64 y (.f64 y y)) #s(literal -1/3 binary64))) (.f64 x x)))) x)
	5.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1)) 1) (/.f64 (fma.f64 x (.f64 y (.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 y (.f64 y y)) #s(literal -1/3 binary64))) (.f64 x x)))) x)
	8.6%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1)) 1) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/3 binary64)) (.f64 x x)))) x)
	9.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1)) 1) (.f64 (.f64 y (.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)))))) x)
✓	72.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
▶	72.6%	(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x)))
✓	73.8%	(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))
	54.7%	(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (exp ( x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 1 260 to 707 computations (43.9% saved)

simplify249.0ms (2.3%)

Memory

31.5MiB live, 371.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) x) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) x) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) x) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
cost-diff	384	(/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) x) x)
cost-diff	0	(fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64))
cost-diff	0	(fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
cost-diff	0	(.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) y))
cost-diff	0	#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) y)))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (.f64 (/.f64 y (.f64 x #s(literal 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 (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
cost-diff	0	(/.f64 (+.f64 x y) x)
cost-diff	0	(pow.f64 (/.f64 (+.f64 x y) x) x)
cost-diff	0	(*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x)))

Rules

13 620×	`lower-fma.f32`
13 602×	`lower-fma.f64`
2 598×	`lower-*.f32`
2 588×	`lower-*.f64`
2 486×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	750
0	101	750
1	199	734
2	456	734
3	1003	734
4	1969	724
5	3511	724
6	5811	714
7	7991	714
0	8001	698

Stop Event

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

Calls

Call 1

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

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

localize348.0ms (3.3%)

Memory

0.2MiB live, 560.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9853051981372472	(fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) x) x)) #s(literal -1 binary64))
accuracy	4.284460607003326	(/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) x) x)
accuracy	12.662203968954373	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) x)
accuracy	25.639039894917122	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) x) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0.9853051981372472	(fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64))
accuracy	19.486286192070157	(/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))
accuracy	25.639039894917122	#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	29.84599369978066	#s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x)))
accuracy	0.00390625	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) y))) x)
accuracy	0.1015625	(.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) y)
accuracy	24.859297156125766	#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) y)))
accuracy	39.79126248216893	#s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) y))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
accuracy	22.434623942307123	#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))
accuracy	34.25101860723414	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x)))
accuracy	0.01171875	(*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x))
accuracy	14.18958863898033	(pow.f64 (/.f64 (+.f64 x y) x) x)

Samples

126.0ms	100×	1	valid
86.0ms	128×	0	valid
19.0ms	15×	1	exit
9.0ms	13×	0	exit

Compiler

Compiled 437 to 59 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-mult: 48.0ms (24.7% of total)

ival-div: 41.0ms (21.1% of total)

ival-add: 29.0ms (14.9% of total)

const: 19.0ms (9.8% of total)

ival-log: 17.0ms (8.8% of total)

adjust: 16.0ms (8.2% of total)

ival-pow: 16.0ms (8.2% of total)

ival-sub: 4.0ms (2.1% of total)

ival-exp: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series63.0ms (0.6%)

Memory

7.6MiB live, 127.7MiB allocated

Counts

25 → 576

Calls

Call 1

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

Calls

144 calls:

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

simplify334.0ms (3.1%)

Memory

-32.5MiB live, 465.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 594×	`lower-fma.f64`
7 594×	`lower-fma.f32`
6 330×	`lower-+.f64`
6 330×	`lower-+.f32`
6 058×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1034	15059
1	3349	13301
0	8193	12585

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 568

Calls

Call 1

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

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

rewrite379.0ms (3.6%)

Memory

27.8MiB live, 247.9MiB allocated

Rules

4 190×	`lower-/.f32`
4 170×	`lower-/.f64`
4 040×	`lower-*.f32`
4 030×	`lower-*.f64`
3 534×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	625
0	101	625
1	473	609
2	4127	607
0	9368	592

Stop Event

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

Counts

25 → 499

Calls

Call 1

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

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

eval234.0ms (2.2%)

Memory: -16.5MiB live, 145.7MiB allocated
Compiler: Compiled 33 734 to 2 850 computations (91.6% saved)

prune334.0ms (3.1%)

Memory

-3.5MiB live, 202.3MiB allocated

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	1 053	14	1 067
Fresh	7	14	21
Picked	3	2	5
Done	1	7	8
Total	1 064	37	1 101

Accuracy

100.0%

Counts

1 101 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	42.4%	(/.f64 (pow.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) x) x)
	67.6%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) x)
✓	80.5%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
✓	54.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	56.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))) (*.f64 y #s(literal 1/6 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	56.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) #s(approx (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))) (fma.f64 y #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	39.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) #s(approx (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	60.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
✓	43.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
✓	30.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	41.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 #s(approx (/ (+ (* x (+ (* x (+ (* y -1/6) 1/2)) (+ (* y -1/2) 1/2))) (* y -1/3)) x) (/.f64 (*.f64 y (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))) x)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	61.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 #s(approx (/ (+ (* x (+ (* x (+ (* y -1/6) 1/2)) (+ (* y -1/2) 1/2))) (* y -1/3)) x) (*.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	30.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	30.2%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) #s(approx (/ (/ (+ (* x (+ (* x (+ (* y -1/6) 1/2)) (+ (* y -1/2) 1/2))) (* y -1/3)) x) x) (/.f64 (.f64 y (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))) (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	50.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) #s(approx (/ (+ (* x (+ (* y -1/2) 1/2)) (* y -1/3)) (* x x)) (/.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64))) x)
	58.6%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (/ 1/2 x))) -1) (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) x)
	30.9%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 y y) #s(literal -1/3 binary64))) (.f64 x x))) #s(literal 1 binary64))) x)
	54.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (fma.f64 y (.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) x)
✓	54.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
	30.1%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (+.f64 (.f64 #s(approx (+ 1/2 (- (/ 1/2 x) ( y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 y #s(literal -1/3 binary64))) (.f64 x x))) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) x)
✓	4.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
	59.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 #s(approx (+ (* x (+ (* y (+ (* y 1/2) -1)) 1)) (* y (* y 1/2))) (-.f64 x (*.f64 x y))) x))) x)
	10.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (/.f64 #s(approx (+ (* x (+ (* y (+ (* y 1/2) -1)) 1)) (* y (* y 1/2))) (.f64 (.f64 y y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x))) x)
	7.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) (.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) x)) y))) x)
	28.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1)) 1) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y y) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 y (.f64 y y)) #s(literal -1/3 binary64))) (.f64 x x)))) x)
	5.4%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1)) 1) (/.f64 (fma.f64 x (.f64 (.f64 y y) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 y (.f64 y y)) #s(literal -1/3 binary64))) (.f64 x x)))) x)
	8.6%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1)) 1) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/3 binary64)) (.f64 x x)))) x)
	9.3%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* y (+ (* y (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) -1)) 1) (.f64 (.f64 y (.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)))))) x)
✓	72.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	41.2%	(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 #s(approx (/ (+ x y) x) (/.f64 y x)) x)))
	53.9%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (pow (/ (+ x y) x) x) (fma.f64 y (fma.f64 y (fma.f64 y (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	59.5%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (pow (/ (+ x y) x) x) (fma.f64 y (fma.f64 y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	60.3%	(/.f64 #s(literal 1 binary64) #s(approx (* x (pow (/ (+ x y) x) x)) (fma.f64 y (fma.f64 (*.f64 x y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) x)))
	61.2%	(/.f64 #s(literal 1 binary64) #s(approx (* x (pow (/ (+ x y) x) x)) (fma.f64 x y x)))
✓	73.8%	(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))
	4.3%	(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (exp ( x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))))

Compiler

Compiled 1 854 to 685 computations (63.1% saved)

regimes103.0ms (1%)

Memory

5.6MiB live, 43.0MiB allocated

Counts

58 → 3

Calls

Call 1

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

68.0ms	x
16.0ms	y
16.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
98.6%	3	`x`
80.5%	1	`y`
90.3%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes38.0ms (0.4%)

Memory

17.5MiB live, 56.0MiB allocated

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

20.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
14.0ms	x

Results

Accuracy	Segments	Branch
78.6%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
84.7%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes18.0ms (0.2%)

Memory

-9.1MiB live, 28.6MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
83.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
72.8%	1	`y`
83.0%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-35.8MiB live, 6.6MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
81.1%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Accuracy

Total -43.9b remaining (-252.6%)

Threshold costs -43.9b (-252.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) 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
72.8%	1	`y`
72.8%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
72.8%	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch43.0ms (0.4%)

Memory

-11.7MiB live, 64.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.410618264077327e-5	11.388505772291458
18.0ms	-5860294347265.514	-180260060.6933718

Samples

21.0ms	272×	0	valid
4.0ms	70×	0	invalid

Compiler

Compiled 288 to 200 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 6.0ms (34.5% of total)

ival-log: 4.0ms (23% of total)

ival-exp: 3.0ms (17.2% of total)

ival-add: 2.0ms (11.5% of total)

ival-mult: 2.0ms (11.5% of total)

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

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

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.410618264077327e-5	11.388505772291458
1.0ms	-5860294347265.514	-180260060.6933718

Compiler

Compiled 559 to 366 computations (34.5% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.410618264077327e-5	11.388505772291458
1.0ms	-5860294347265.514	-180260060.6933718

Compiler

Compiled 442 to 285 computations (35.5% saved)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.410618264077327e-5	11.388505772291458
1.0ms	-5860294347265.514	-180260060.6933718

Compiler

Compiled 361 to 240 computations (33.5% saved)

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.410618264077327e-5	11.388505772291458
1.0ms	-5860294347265.514	-180260060.6933718

Compiler

Compiled 337 to 224 computations (33.5% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.410618264077327e-5	11.388505772291458

Compiler

Compiled 169 to 112 computations (33.7% saved)

simplify15.0ms (0.1%)

Memory

-17.8MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`*-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	427
1	92	427
2	101	427
3	108	427
4	113	427
5	115	427

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -185000000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 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 -185000000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (pow (/ (+ x y) x) x) (fma.f64 y (fma.f64 y (fma.f64 y (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 x #s(literal -185000000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (pow (/ (+ x y) x) x)) (fma.f64 y (fma.f64 (*.f64 x y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) x)))))
(if (<=.f64 x #s(literal -185000000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (pow (/ (+ x y) x) x)) (fma.f64 x y x)))))
(if (<=.f64 x #s(literal -185000000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (/ 1/2 x))) -1) (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (pow (/ (+ x y) x) x)) (fma.f64 x y x)))))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (pow (/ (+ x y) x) x)) (fma.f64 x y x))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

Outputs
(if (<=.f64 x #s(literal -185000000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 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 -185000000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (pow (/ (+ x y) x) x) (fma.f64 y (fma.f64 y (fma.f64 y (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 x #s(literal -185000000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (pow (/ (+ x y) x) x)) (fma.f64 y (fma.f64 (*.f64 x y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) x)))))
(if (<=.f64 x #s(literal -185000000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y (fma.f64 y #s(approx (+ 1/2 (- (/ 1/2 x) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (pow (/ (+ x y) x) x)) (fma.f64 x y x)))))
(if (<=.f64 x #s(literal -185000000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 y #s(approx (+ (* y (+ 1/2 (/ 1/2 x))) -1) (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (pow (/ (+ x y) x) x)) (fma.f64 x y x)))))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (pow (/ (+ x y) x) x)) (fma.f64 x y x))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

soundness810.0ms (7.6%)

Memory

17.2MiB live, 578.9MiB allocated

Rules

9 568×	`lower-fma.f64`
9 568×	`lower-fma.f32`
9 292×	`lower-fma.f64`
9 292×	`lower-fma.f32`
7 594×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1034	15059
1	3349	13301
0	8193	12585
0	8	39
0	14	39
1	48	35
2	276	35
3	2526	35
0	8637	35
0	554	3180
1	1674	2655
2	5673	2574
0	8288	2445
0	641	12443
1	2004	10668
2	6655	10370
0	8087	9805

Stop Event

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

Compiler

Compiled 439 to 202 computations (54% saved)

preprocess128.0ms (1.2%)

Memory: 13.0MiB live, 177.3MiB allocated
Compiler: Compiled 528 to 164 computations (68.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze116.0ms (1.1%)

sample2.6s (24.4%)

explain193.0ms (1.8%)

preprocess98.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize75.0ms (0.7%)

series47.0ms (0.4%)

simplify281.0ms (2.6%)

rewrite303.0ms (2.9%)

eval64.0ms (0.6%)

prune172.0ms (1.6%)

simplify333.0ms (3.1%)

localize365.0ms (3.4%)

series47.0ms (0.4%)

simplify380.0ms (3.6%)

rewrite363.0ms (3.4%)

eval187.0ms (1.8%)

prune149.0ms (1.4%)

simplify277.0ms (2.6%)

localize337.0ms (3.2%)

series56.0ms (0.5%)

simplify377.0ms (3.5%)

rewrite304.0ms (2.9%)

eval160.0ms (1.5%)

prune211.0ms (2%)

simplify249.0ms (2.3%)

localize348.0ms (3.3%)

series63.0ms (0.6%)

simplify334.0ms (3.1%)

rewrite379.0ms (3.6%)

eval234.0ms (2.2%)

prune334.0ms (3.1%)

regimes103.0ms (1%)

regimes38.0ms (0.4%)

regimes18.0ms (0.2%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

bsearch43.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify15.0ms (0.1%)

soundness810.0ms (7.6%)

preprocess128.0ms (1.2%)

end0.0ms (0%)

Profiling