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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze70.0ms (0.7%)

Memory

-5.6MiB live, 114.1MiB 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)

sample2.4s (24.1%)

Memory

46.9MiB live, 2 139.0MiB allocated

Samples

1.5s	3 685×	1	valid
435.0ms	4 571×	0	valid
31.0ms	250×	0	invalid

Precisions

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

ival-log: 781.0ms (47.8% of total)

ival-mult: 260.0ms (15.9% of total)

ival-div: 236.0ms (14.4% of total)

ival-exp: 200.0ms (12.2% of total)

ival-add: 92.0ms (5.6% of total)

adjust: 54.0ms (3.3% of total)

ival-true: 8.0ms (0.5% of total)

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

Bogosity

explain309.0ms (3.1%)

Memory

-1.5MiB live, 352.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
154	44	(-3.629095300746178e+179 7.404813183000636e-165)	0	-	`(log.f64 (/.f64 x (+.f64 x y)))`
49	0	-	49	(3.4794329785934944e+277 7.866148083925781e-63)	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`
0	1	(-3.2761807229843347 -4.98374806795695e+82)	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	179	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	19	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	43
↳	`(/.f64 x (+.f64 x y))`	underflow	19
`exp.f64`	`(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	62	0
-	137	57

Precision

0.31155778894472363

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	0
-	137	0	57

Precision?

0.31155778894472363

Recall?

1.0

Freqs

test

number	freq
0	57
1	199

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms	102×	2	valid
56.0ms	244×	1	valid
16.0ms	166×	0	valid

Compiler

Compiled 235 to 52 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-log: 69.0ms (62.7% of total)

ival-div: 14.0ms (12.7% of total)

adjust: 7.0ms (6.4% of total)

ival-exp: 7.0ms (6.4% of total)

ival-add: 6.0ms (5.5% of total)

ival-mult: 6.0ms (5.5% of total)

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

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

preprocess96.0ms (1%)

Memory

-12.5MiB live, 36.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.9%	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify3.0ms (0%)

Memory

4.5MiB live, 4.5MiB 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)))))

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (0.9%)

Memory

3.5MiB live, 154.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy	0.013513404760301944	(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
accuracy	10.831632647201548	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy	35.07219131566854	(log.f64 (/.f64 x (+.f64 x y)))

Samples

34.0ms	122×	1	valid
21.0ms	51×	2	valid
7.0ms	83×	0	valid

Compiler

Compiled 90 to 18 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-log: 25.0ms (50.3% of total)

ival-div: 7.0ms (14.1% of total)

ival-exp: 6.0ms (12.1% of total)

ival-mult: 5.0ms (10.1% of total)

ival-add: 3.0ms (6% of total)

adjust: 3.0ms (6% of total)

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

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

series23.0ms (0.2%)

Memory

22.7MiB live, 61.5MiB allocated

Counts

4 → 96

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>) () ())

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

Calls

6 calls:

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

simplify236.0ms (2.4%)

Memory

20.4MiB live, 204.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	471	2881
1	1395	2375
2	4926	2118
0	8383	2007

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
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rewrite270.0ms (2.7%)

Memory

-43.2MiB live, 251.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	14	34
1	48	30
2	276	30
3	2526	30
0	8637	30

Stop Event

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

Counts

4 → 253

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)))

Outputs
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eval58.0ms (0.6%)

Memory: 16.3MiB live, 87.4MiB allocated
Compiler: Compiled 7 585 to 1 518 computations (80% saved)

prune18.0ms (0.2%)

Memory

-11.3MiB live, 34.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	339	10	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	340	10	350

Accuracy

100.0%

Counts

350 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.9%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
▶	85.1%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	59.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	61.2%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	59.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
▶	73.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	77.2%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
	77.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
▶	57.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	59.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))

Compiler

Compiled 234 to 182 computations (22.2% saved)

simplify149.0ms (1.5%)

Memory

28.7MiB live, 178.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	208
0	49	208
1	72	200
2	120	200
3	203	200
4	384	200
5	656	200
6	1353	200
7	2912	200
8	5665	193
9	7153	193
10	7898	193
0	8005	190

Stop Event

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

Calls

Call 1

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

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

localize200.0ms (2%)

Memory

-23.9MiB live, 226.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	0.01171875	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
accuracy	14.346470564225449	(pow.f64 (/.f64 x (+.f64 y x)) x)
accuracy	0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
accuracy	0.0546875	(fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
accuracy	0.7944594502515167	(fma.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy	26.21813439783586	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy	0	(/.f64 y x)
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
accuracy	25.822662049060355	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
accuracy	0.01171875	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
accuracy	17.41328608385422	#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy	0.013513404760301944	(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
accuracy	18.790683134998897	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))

Samples

84.0ms	123×	1	valid
49.0ms	83×	0	valid
40.0ms	50×	2	valid

Compiler

Compiled 318 to 53 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-log: 26.0ms (22.5% of total)

ival-div: 22.0ms (19.1% of total)

ival-mult: 22.0ms (19.1% of total)

ival-pow: 17.0ms (14.7% of total)

adjust: 12.0ms (10.4% of total)

ival-add: 9.0ms (7.8% of total)

ival-exp: 4.0ms (3.5% of total)

ival-sub: 2.0ms (1.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory

-11.1MiB live, 66.2MiB allocated

Counts

18 → 396

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (/ 1/2 x) 1/2))
4.0ms	y	@	-inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (/ 1/2 x) 1/2))
3.0ms	x	@	-inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (/ 1/2 x) 1/2))
3.0ms	y	@	inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (/ 1/2 x) 1/2))
2.0ms	x	@	0	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (/ 1/2 x) 1/2))

simplify220.0ms (2.2%)

Memory

23.6MiB live, 212.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	9515
1	1715	8071
2	5753	7814
0	8421	7402

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 390

Calls

Call 1

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

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

rewrite211.0ms (2.1%)

Memory

-0.6MiB live, 300.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	182
0	49	170
1	211	170
2	1706	170
0	8217	170

Stop Event

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

Counts

18 → 598

Calls

Call 1

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

Outputs
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eval152.0ms (1.5%)

Memory: 24.4MiB live, 383.5MiB allocated
Compiler: Compiled 22 942 to 2 947 computations (87.2% saved)

prune49.0ms (0.5%)

Memory

16.4MiB live, 174.9MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1 050	15	1 065
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	1 056	19	1 075

Accuracy

100.0%

Counts

1 075 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.5%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	85.1%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	59.0%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	59.7%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	73.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	77.2%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
▶	77.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
	57.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
	62.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
	63.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x))
▶	31.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y))))
▶	39.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 x y)) (.f64 x x)))
	59.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)))
▶	4.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	64.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	60.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
	8.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
▶	6.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) y)))
	8.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 y y) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)))))

Compiler

Compiled 458 to 343 computations (25.1% saved)

simplify586.0ms (5.9%)

Memory

-24.4MiB live, 194.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) y))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) y)))
cost-diff	704	(.f64 (.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) y)
cost-diff	1536	(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 (/.f64 x y) x)
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y))))
cost-diff	1728	(/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 x (*.f64 x y))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 x y)) (.f64 x x)))
cost-diff	640	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
cost-diff	0	(pow.f64 (/.f64 x (+.f64 y x)) x)
cost-diff	0	(neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	347
0	75	343
1	136	334
2	273	320
3	626	286
4	1494	286
5	4083	286
0	8119	278

Stop Event

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

Calls

Call 1

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

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

localize220.0ms (2.2%)

Memory

20.3MiB live, 330.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.667966685830206	(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
accuracy	2.7792274961444114	(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
accuracy	26.21813439783586	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) y)))
accuracy	34.21217967640693	#s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) y))
accuracy	0	(-.f64 (/.f64 x y) x)
accuracy	0.11328125	(*.f64 x (/.f64 x y))
accuracy	25.822662049060355	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y))))
accuracy	28.62637212870834	(/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(-.f64 x (*.f64 x y))
accuracy	25.463296877471972	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
accuracy	25.822662049060355	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 x y)) (.f64 x x)))
accuracy	0	(/.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	25.822662049060355	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
accuracy	36.76588023195261	#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
accuracy	0	(neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))
accuracy	0.00390625	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	14.346470564225449	(pow.f64 (/.f64 x (+.f64 y x)) x)

Samples

127.0ms	133×	1	valid
40.0ms	123×	0	valid

Compiler

Compiled 500 to 80 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-div: 34.0ms (24.2% of total)

ival-log: 23.0ms (16.3% of total)

ival-mult: 21.0ms (14.9% of total)

adjust: 20.0ms (14.2% of total)

ival-pow: 19.0ms (13.5% of total)

ival-add: 10.0ms (7.1% of total)

ival-sub: 6.0ms (4.3% of total)

ival-neg: 4.0ms (2.8% of total)

ival-exp: 3.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series88.0ms (0.9%)

Memory

-7.9MiB live, 70.5MiB allocated

Counts

24 → 540

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((* (/ -1 x) (neg (pow (/ x (+ y x)) x))) (/ -1 x) (neg (pow (/ x (+ y x)) x)) (pow (/ x (+ y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* x y)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* x y)) (* x y) (/ (- (/ x y) x) (* x (/ x y))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ x y) x) (/ x y) (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/ x (+ y x)) (* x x) (* x (/ x y)) (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)))
9.0ms	y	@	0	((* (/ -1 x) (neg (pow (/ x (+ y x)) x))) (/ -1 x) (neg (pow (/ x (+ y x)) x)) (pow (/ x (+ y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* x y)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* x y)) (* x y) (/ (- (/ x y) x) (* x (/ x y))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ x y) x) (/ x y) (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/ x (+ y x)) (* x x) (* x (/ x y)) (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)))
5.0ms	x	@	inf	((* (/ -1 x) (neg (pow (/ x (+ y x)) x))) (/ -1 x) (neg (pow (/ x (+ y x)) x)) (pow (/ x (+ y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* x y)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* x y)) (* x y) (/ (- (/ x y) x) (* x (/ x y))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ x y) x) (/ x y) (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/ x (+ y x)) (* x x) (* x (/ x y)) (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)))
5.0ms	y	@	-inf	((* (/ -1 x) (neg (pow (/ x (+ y x)) x))) (/ -1 x) (neg (pow (/ x (+ y x)) x)) (pow (/ x (+ y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* x y)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* x y)) (* x y) (/ (- (/ x y) x) (* x (/ x y))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ x y) x) (/ x y) (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/ x (+ y x)) (* x x) (* x (/ x y)) (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)))
4.0ms	x	@	0	((* (/ -1 x) (neg (pow (/ x (+ y x)) x))) (/ -1 x) (neg (pow (/ x (+ y x)) x)) (pow (/ x (+ y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* x y)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* x y)) (* x y) (/ (- (/ x y) x) (* x (/ x y))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ x y) x) (/ x y) (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/ x (+ y x)) (* x x) (* x (/ x y)) (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)))

simplify222.0ms (2.2%)

Memory

-1.3MiB live, 237.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	569	9635
1	1764	8247
2	5886	7907
0	8461	7562

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 539

Calls

Call 1

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

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- (* y (+ 1 (* -1 (* y (+ 1/2 (* 1/2 (/ 1 x))))))) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal -1 binary64))
(- (* y (+ 1 (* y (- (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ 1/2 (* 1/2 (/ 1 x))))))) 1)
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y)
(* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y)
(* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64))
(/ (pow x 2) y)
(*.f64 x (/.f64 x y))
(/ (pow x 2) y)
(*.f64 x (/.f64 x y))
(/ (pow x 2) y)
(*.f64 x (/.f64 x y))
(/ (pow x 2) y)
(*.f64 x (/.f64 x y))
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) y)
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y)
(/ (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) y)
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y)
(/ (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) y)
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y)
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))
(fma.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (.f64 (*.f64 y y) x)) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x)))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x)))
(* -1 (exp (* x (+ (log x) (log (/ 1 y))))))
(neg.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))))
(- (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y) (exp (* x (+ (log x) (log (/ 1 y))))))
(-.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (.f64 x (/.f64 x y))) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))))
(- (* -1 (/ (* (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))))
(-.f64 (fma.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (.f64 y y)) (.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (.f64 x (/.f64 x y)))) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))))
(- (* -1 (/ (* (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 (/ (* (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)))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (fma.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (.f64 y y)) (fma.f64 (neg.f64 x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y)))))))
(exp (* x (+ (log x) (log (/ 1 y)))))
(pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y)))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
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(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(* -1 (/ (+ (* -1/2 (/ y x)) (* y (- (/ 1 y) 1/2))) x))
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(* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* (pow y 2) (- (/ 1 y) 1/2))) x))
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rewrite215.0ms (2.2%)

Memory

30.8MiB live, 295.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	306
0	75	290
1	342	261
2	3296	261
0	8492	252

Stop Event

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

Counts

24 → 802

Calls

Call 1

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

Outputs
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eval649.0ms (6.5%)

Memory: -113.6MiB live, 506.0MiB allocated
Compiler: Compiled 26 014 to 3 180 computations (87.8% saved)

prune91.0ms (0.9%)

Memory

9.5MiB live, 171.9MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1 375	16	1 391
Fresh	5	7	12
Picked	4	1	5
Done	0	2	2
Total	1 384	26	1 410

Accuracy

100.0%

Counts

1 410 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.5%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	85.1%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	59.0%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
▶	59.7%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	73.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
▶	77.2%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
	38.5%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)))
	59.0%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal -1 binary64))))
	61.2%	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal -1 binary64))))
	59.7%	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (-.f64 y #s(literal 1 binary64))))
	57.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
	63.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (fma.f64 (neg.f64 y) x x) x) x))
	34.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- (/ x y) x) (/.f64 x y)) (*.f64 x (/.f64 x y))))
	10.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- (/ x y) x) (neg.f64 x)) (*.f64 x (/.f64 x y))))
▶	6.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* x y)) (.f64 (neg.f64 y) x)) (.f64 x x)))
✓	4.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	4.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
	64.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	6.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 y (/.f64 (/.f64 #s(literal -1 binary64) y) x))) y)))
	8.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
▶	3.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (.f64 y x)) (.f64 x x)) (.f64 (.f64 x x) (.f64 y x))) y) y)))
	11.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 #s(approx (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y) y)))
▶	7.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 #s(approx (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y) y)))
	7.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 #s(approx ( (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y)))
	9.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 #s(approx ( (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y)))
	7.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) #s(approx (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))))

Compiler

Compiled 674 to 511 computations (24.2% saved)

simplify244.0ms (2.5%)

Memory

-50.9MiB live, 215.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (.f64 y x)) (.f64 x x)) (.f64 (.f64 x x) (.f64 y x))) y) y)))
cost-diff	320	(-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (.f64 y x)) (*.f64 x x))
cost-diff	832	(.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (.f64 y x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 y x))) y)
cost-diff	6016	(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (.f64 y x)) (.f64 x x)) (.f64 (.f64 x x) (.f64 y x)))
cost-diff	0	(*.f64 #s(approx (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y)
cost-diff	0	(.f64 (.f64 #s(approx (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y) y)
cost-diff	0	#s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 #s(approx (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y) y))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 #s(approx (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y) y)))
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- x (* x y)) (*.f64 (neg.f64 y) x))
cost-diff	0	(/.f64 #s(approx (- x (* x y)) (.f64 (neg.f64 y) x)) (.f64 x x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* x y)) (.f64 (neg.f64 y) x)) (.f64 x x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	(pow.f64 (/.f64 (+.f64 y x) x) x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))
cost-diff	128	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	539
0	89	529
1	166	510
2	396	488
3	1433	470
4	5211	470
0	8118	458

Stop Event

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

Calls

Call 1

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

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

localize261.0ms (2.6%)

Memory

3.7MiB live, 437.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	7.496073108302059	(-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (.f64 y x)) (*.f64 x x))
accuracy	20.699870731516036	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (.f64 y x)) (.f64 x x)) (.f64 (.f64 x x) (.f64 y x))) y) y)))
accuracy	26.133142159488248	(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (.f64 y x)) (.f64 x x)) (.f64 (.f64 x x) (.f64 y x)))
accuracy	34.21217967640693	#s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (.f64 y x)) (.f64 x x)) (.f64 (.f64 x x) (.f64 y x))) y) y))
accuracy	2.755789996144412	(*.f64 #s(approx (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y)
accuracy	13.188396183053246	#s(approx (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x))
accuracy	20.699870731516036	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 #s(approx (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y) y)))
accuracy	34.21217967640693	#s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 #s(approx (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y) y))
accuracy	0	(neg.f64 y)
accuracy	18.813932235998177	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* x y)) (.f64 (neg.f64 y) x)) (.f64 x x)))
accuracy	22.029573481472507	(/.f64 #s(approx (- x (* x y)) (.f64 (neg.f64 y) x)) (.f64 x x))
accuracy	37.12032139761605	#s(approx (- x (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
accuracy	18.995798881181372	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
accuracy	0.00390625	(/.f64 (+.f64 y x) x)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
accuracy	0.01171875	(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))
accuracy	11.44111686258278	(pow.f64 (/.f64 (+.f64 y x) x) x)

Samples

149.0ms	122×	1	valid
48.0ms	105×	0	valid
12.0ms	13×	1	exit
6.0ms	16×	0	exit

Compiler

Compiled 670 to 94 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-div: 46.0ms (25.8% of total)

ival-pow: 36.0ms (20.2% of total)

ival-mult: 33.0ms (18.5% of total)

ival-log: 23.0ms (12.9% of total)

ival-add: 15.0ms (8.4% of total)

adjust: 12.0ms (6.7% of total)

ival-sub: 7.0ms (3.9% of total)

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

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

exact: 1.0ms (0.6% of total)

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

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

series110.0ms (1.1%)

Memory

29.3MiB live, 141.6MiB allocated

Counts

23 → 516

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* x y)) (* x x)) (- x (* x y)) (* (neg y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) (* (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) y) (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (+ y x) x) (neg y) (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)))
11.0ms	y	@	inf	((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* x y)) (* x x)) (- x (* x y)) (* (neg y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) (* (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) y) (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (+ y x) x) (neg y) (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)))
7.0ms	y	@	-inf	((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* x y)) (* x x)) (- x (* x y)) (* (neg y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) (* (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) y) (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (+ y x) x) (neg y) (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)))
6.0ms	x	@	-inf	((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* x y)) (* x x)) (- x (* x y)) (* (neg y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) (* (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) y) (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (+ y x) x) (neg y) (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)))
5.0ms	x	@	0	((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* x y)) (* x x)) (- x (* x y)) (* (neg y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) (* (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) y) (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (+ y x) x) (neg y) (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)))

simplify325.0ms (3.3%)

Memory

-43.0MiB live, 332.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	913	11293
1	2918	9982
0	8362	9506

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 515

Calls

Call 1

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

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

rewrite428.0ms (4.3%)

Memory

21.8MiB live, 214.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	454
0	89	437
1	403	419
2	3670	396
0	8483	388

Stop Event

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

Counts

23 → 465

Calls

Call 1

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

Outputs
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eval262.0ms (2.6%)

Memory: 7.6MiB live, 277.3MiB allocated
Compiler: Compiled 22 598 to 3 431 computations (84.8% saved)

prune72.0ms (0.7%)

Memory

-5.2MiB live, 155.4MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	968	12	980
Fresh	8	10	18
Picked	3	2	5
Done	0	3	3
Total	979	27	1 006

Accuracy

100.0%

Counts

1 006 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.5%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	85.1%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	59.0%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
✓	59.7%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	73.0%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	37.7%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x)))
	63.5%	(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
	66.9%	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
	63.5%	(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))))
	67.6%	(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))))
	38.5%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)))
	59.0%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal -1 binary64))))
	59.7%	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (-.f64 y #s(literal 1 binary64))))
	57.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
	8.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* x y)) (*.f64 (neg.f64 y) x)) x) x))
✓	6.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* x y)) (.f64 (neg.f64 y) x)) (.f64 x x)))
✓	4.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	4.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
	37.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))))
	64.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	4.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (/.f64 (/.f64 (.f64 (.f64 x (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) x)) y) (.f64 (.f64 y x) x)) x) y)))
	4.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 #s(approx (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) (.f64 y x))) y) y)))
	7.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 #s(approx ( (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y)))
	12.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 #s(approx ( (/ (- (* (+ (* 1/2 x) 1/2) (* y x)) (* x x)) (* (* x x) (* y x))) y) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y)))
	9.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (.f64 #s(approx ( (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y)))
	7.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) #s(approx (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) x (.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))))
	9.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) #s(approx (* (* (- (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (/ 1 y) x)) y) y) (.f64 (.f64 y y) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)))))

Compiler

Compiled 1 169 to 569 computations (51.3% saved)

regimes68.0ms (0.7%)

Memory

1.3MiB live, 115.4MiB allocated

Counts

54 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

33.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
16.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
99.0%	3	`x`
87.3%	2	`y`
92.9%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes46.0ms (0.5%)

Memory

-2.9MiB live, 117.4MiB allocated

Counts

46 → 4

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
14.0ms	y
12.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
78.7%	2	`y`
82.4%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
86.6%	4	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes16.0ms (0.2%)

Memory

6.8MiB live, 45.3MiB allocated

Counts

45 → 4

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.6%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0.2%)

Memory

-10.9MiB live, 40.0MiB allocated

Counts

44 → 4

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
86.5%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory

1.5MiB live, 40.5MiB allocated

Counts

43 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
86.5%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.1%)

Memory

5.1MiB live, 43.7MiB allocated

Counts

41 → 4

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
86.5%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

-4.8MiB live, 33.1MiB allocated

Counts

31 → 4

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
84.9%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

27 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.9%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

-14.8MiB live, 27.2MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	x
4.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
80.3%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
81.8%	3	`x`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes9.0ms (0.1%)

Memory

-14.2MiB live, 25.0MiB allocated

Accuracy

Total -43.9b remaining (-254.5%)

Threshold costs -43.9b (-254.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.0%	1	`y`
73.0%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
73.0%	1	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch30.0ms (0.3%)

Memory

37.7MiB live, 75.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.475818485807829e-7	7.122437145320677e-7
16.0ms	-3.2761807229843347	-0.04333297116894404

Samples

14.0ms	192×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 134 to 169 computations (-26.1% saved)

Precisions

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

ival-div: 3.0ms (27.1% of total)

ival-log: 3.0ms (27.1% of total)

ival-exp: 2.0ms (18.1% of total)

ival-add: 1.0ms (9% of total)

ival-mult: 1.0ms (9% of total)

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

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

bsearch63.0ms (0.6%)

Memory

-16.5MiB live, 138.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.475818485807829e-7	7.122437145320677e-7
13.0ms	-3.2761807229843347	-0.04333297116894404
45.0ms	-5.270793495253729e+171	-1.2876451366641589e+166

Samples

30.0ms	123×	1	valid
11.0ms	101×	0	valid
2.0ms	31×	0	invalid

Compiler

Compiled 899 to 671 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-log: 17.0ms (53.4% of total)

ival-div: 5.0ms (15.7% of total)

ival-exp: 3.0ms (9.4% of total)

adjust: 2.0ms (6.3% of total)

ival-add: 2.0ms (6.3% of total)

ival-mult: 2.0ms (6.3% of total)

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

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

bsearch4.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.475818485807829e-7	7.122437145320677e-7
1.0ms	-3.2761807229843347	-0.04333297116894404
2.0ms	-5.270793495253729e+171	-1.2876451366641589e+166

Compiler

Compiled 881 to 680 computations (22.8% saved)

bsearch10.0ms (0.1%)

Memory

-13.6MiB live, 24.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.475818485807829e-7	7.122437145320677e-7
1.0ms	-3.2761807229843347	-0.04333297116894404
7.0ms	-5.270793495253729e+171	-1.2876451366641589e+166

Samples

5.0ms	14×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 764 to 617 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-log: 2.0ms (68.1% of total)

ival-div: 1.0ms (34% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

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

bsearch4.0ms (0%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.475818485807829e-7	7.122437145320677e-7
1.0ms	-3.2761807229843347	-0.04333297116894404
2.0ms	-5.270793495253729e+171	-1.2876451366641589e+166

Compiler

Compiled 748 to 601 computations (19.7% saved)

bsearch4.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.475818485807829e-7	7.122437145320677e-7
1.0ms	-3.2761807229843347	-0.04333297116894404
1.0ms	-5.270793495253729e+171	-1.2876451366641589e+166

Compiler

Compiled 556 to 505 computations (9.2% saved)

bsearch11.0ms (0.1%)

Memory

-20.3MiB live, 20.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	3.475818485807829e-7	7.122437145320677e-7
1.0ms	-3.2761807229843347	-0.04333297116894404
4.0ms	-7.845456524212104e+208	-7.377848403937841e+208

Samples

3.0ms	13×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 238 to 245 computations (-2.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-log: 2.0ms (70.1% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

bsearch2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	3.475818485807829e-7	7.122437145320677e-7
1.0ms	-3.2761807229843347	-0.04333297116894404
0.0ms	-7.845456524212104e+208	-7.377848403937841e+208

Compiler

Compiled 198 to 221 computations (-11.6% saved)

bsearch34.0ms (0.3%)

Memory

3.2MiB live, 79.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.475818485807829e-7	7.122437145320677e-7
31.0ms	-4.627298676436664e+54	-7.859691551649196e+50

Samples

21.0ms	92×	1	valid
3.0ms	36×	0	valid
1.0ms	16×	0	invalid

Compiler

Compiled 170 to 195 computations (-14.7% saved)

Precisions

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

ival-log: 10.0ms (50.8% of total)

ival-div: 3.0ms (15.3% of total)

ival-exp: 2.0ms (10.2% of total)

ival-mult: 2.0ms (10.2% of total)

adjust: 1.0ms (5.1% of total)

ival-add: 1.0ms (5.1% of total)

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

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

simplify62.0ms (0.6%)

Memory

-7.1MiB live, 74.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	874
1	147	874
2	183	874
3	215	874
4	233	874
5	240	874
6	241	874

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -5764607523034235/9007199254740992 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 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 -7400000000000000180958058274227866740253681511876759611694817914696653671755139178518325504886608849158482612382940443420584327343794157357962133537316089091140899307520 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) (if (<=.f64 x #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal -1 binary64)))) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -7400000000000000180958058274227866740253681511876759611694817914696653671755139178518325504886608849158482612382940443420584327343794157357962133537316089091140899307520 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal -1 binary64)))) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -7799999999999999986904657083842592820527149120875815625647422286214816708890462591046552102005610018003419707136527005885401852338096446803350381790145456207718040731648 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal -1 binary64)))) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -7799999999999999986904657083842592820527149120875815625647422286214816708890462591046552102005610018003419707136527005885401852338096446803350381790145456207718040731648 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -4165829655317709/2251799813685248 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -7799999999999999986904657083842592820527149120875815625647422286214816708890462591046552102005610018003419707136527005885401852338096446803350381790145456207718040731648 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -5764607523034235/9007199254740992 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal -1 binary64)))) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -74999999999999996358509928499723505551368753777232730466710807335963570509449428092101921343434532938245178965234522786716557946515117662125500738438759582777625292596279812046182497462861093920360029143171072 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal -5764607523034235/9007199254740992 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal -1 binary64)))) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))))
(if (<=.f64 x #s(literal -74999999999999996358509928499723505551368753777232730466710807335963570509449428092101921343434532938245178965234522786716557946515117662125500738438759582777625292596279812046182497462861093920360029143171072 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal -5764607523034235/9007199254740992 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ y x) (+ (/ 1/2 x) 1/2)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))))
(if (<=.f64 x #s(literal -1649999999999999855891765734205098870781112901173248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

Outputs
(if (<=.f64 x #s(literal -5764607523034235/9007199254740992 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 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 -7400000000000000180958058274227866740253681511876759611694817914696653671755139178518325504886608849158482612382940443420584327343794157357962133537316089091140899307520 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) (if (<=.f64 x #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (pow (/ x (+ y x)) x)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal -1 binary64)))) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -7400000000000000180958058274227866740253681511876759611694817914696653671755139178518325504886608849158482612382940443420584327343794157357962133537316089091140899307520 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) y (neg.f64 x)) y (neg.f64 x)))) (if (<=.f64 x #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 #s(approx (neg (pow (/ x (+ y x)) x)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 x #s(literal 6611313076017503/9444732965739290427392 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))))))
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(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

soundness963.0ms (9.7%)

Memory

12.7MiB live, 852.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	569	9635
1	1764	8247
2	5886	7907
0	8461	7562
0	913	11293
1	2918	9982
0	8362	9506
0	471	2881
1	1395	2375
2	4926	2118
0	8383	2007
0	563	9515
1	1715	8071
2	5753	7814
0	8421	7402
0	8	34
0	14	34
1	48	30
2	276	30
3	2526	30
0	8637	30

Stop Event

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

Compiler

Compiled 1 077 to 440 computations (59.1% saved)

preprocess157.0ms (1.6%)

Memory: 9.9MiB live, 126.6MiB allocated
Compiler: Compiled 1 222 to 252 computations (79.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze70.0ms (0.7%)

sample2.4s (24.1%)

explain309.0ms (3.1%)

preprocess96.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize89.0ms (0.9%)

series23.0ms (0.2%)

simplify236.0ms (2.4%)

rewrite270.0ms (2.7%)

eval58.0ms (0.6%)

prune18.0ms (0.2%)

simplify149.0ms (1.5%)

localize200.0ms (2%)

series42.0ms (0.4%)

simplify220.0ms (2.2%)

rewrite211.0ms (2.1%)

eval152.0ms (1.5%)

prune49.0ms (0.5%)

simplify586.0ms (5.9%)

localize220.0ms (2.2%)

series88.0ms (0.9%)

simplify222.0ms (2.2%)

rewrite215.0ms (2.2%)

eval649.0ms (6.5%)

prune91.0ms (0.9%)

simplify244.0ms (2.5%)

localize261.0ms (2.6%)

series110.0ms (1.1%)

simplify325.0ms (3.3%)

rewrite428.0ms (4.3%)

eval262.0ms (2.6%)

prune72.0ms (0.7%)

regimes68.0ms (0.7%)

regimes46.0ms (0.5%)

regimes16.0ms (0.2%)

regimes22.0ms (0.2%)

regimes16.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch30.0ms (0.3%)

bsearch63.0ms (0.6%)

bsearch4.0ms (0%)

bsearch10.0ms (0.1%)

bsearch4.0ms (0%)

bsearch4.0ms (0%)

bsearch11.0ms (0.1%)

bsearch2.0ms (0%)

bsearch34.0ms (0.3%)

simplify62.0ms (0.6%)

soundness963.0ms (9.7%)

preprocess157.0ms (1.6%)

end0.0ms (0%)

Profiling