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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze70.0ms (0.8%)

Memory

14.8MiB live, 137.1MiB 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)

sample2.3s (25.4%)

Memory

11.1MiB live, 2 486.1MiB allocated

Samples

1.3s	3 761×	1	valid
387.0ms	4 495×	0	valid
19.0ms	264×	0	invalid

Precisions

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

ival-log: 827.0ms (56.6% of total)

ival-div: 252.0ms (17.2% of total)

ival-mult: 131.0ms (9% of total)

ival-exp: 98.0ms (6.7% of total)

ival-add: 78.0ms (5.3% of total)

adjust: 64.0ms (4.4% of total)

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

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

Bogosity

explain236.0ms (2.6%)

Memory

10.8MiB live, 367.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
153	35	(1.8682179060815957e+67 3.567606691414102e-289)	1	(-4.5677716443405326e-125 -1.7698355387765454e+193)	`(log.f64 (/.f64 x (+.f64 x y)))`
35	0	-	1	(1.0240456269790439e+55 2.632928020300182e-265)	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`
0	0	-	0	-	`(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))`
0	0	-	0	-	`y`
0	0	-	0	-	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
0	0	-	0	-	`(/.f64 x (+.f64 x y))`
0	0	-	0	-	`(+.f64 x y)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	sensitivity	165	0
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	34	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	22	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	34
↳	`(/.f64 x (+.f64 x y))`	underflow	22

Confusion

	Predicted +	Predicted -
+	58	0
-	129	69

Precision

0.31016042780748665

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	0
-	129	0	69

Precision?

0.31016042780748665

Recall?

1.0

Freqs

test

number	freq
0	69
1	153
2	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms	244×	1	valid
47.0ms	74×	2	valid
18.0ms	194×	0	valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-log: 45.0ms (50.6% of total)

ival-div: 14.0ms (15.7% of total)

ival-add: 11.0ms (12.4% of total)

ival-exp: 7.0ms (7.9% of total)

adjust: 6.0ms (6.7% of total)

ival-mult: 6.0ms (6.7% of total)

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

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

preprocess105.0ms (1.1%)

Memory

9.0MiB live, 44.2MiB 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
▶	79.7%	(/.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

4.3MiB live, 4.3MiB 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

localize75.0ms (0.8%)

Memory

-4.4MiB live, 90.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 x (+.f64 x y))
accuracy	0.01171875	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy	8.168576650245544	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy	35.30006439568646	(log.f64 (/.f64 x (+.f64 x y)))

Samples

44.0ms	122×	1	valid
16.0ms	37×	2	valid
8.0ms	97×	0	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-log: 30.0ms (53.7% of total)

ival-mult: 8.0ms (14.3% of total)

ival-div: 7.0ms (12.5% of total)

adjust: 4.0ms (7.2% of total)

ival-add: 3.0ms (5.4% of total)

ival-exp: 3.0ms (5.4% of total)

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

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

series49.0ms (0.5%)

Memory

9.2MiB live, 46.0MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
5.0ms	x	@	inf	((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
4.0ms	x	@	-inf	((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
3.0ms	y	@	-inf	((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
2.0ms	y	@	0	((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))

simplify179.0ms (2%)

Memory

-11.7MiB live, 263.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	554	3184
1	1674	2659
2	5689	2574
0	8306	2445

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite462.0ms (5.1%)

Memory

-253.1MiB live, 289.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

5 → 358

Calls

Call 1

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

Outputs
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eval148.0ms (1.6%)

Memory: 4.0MiB live, 115.6MiB allocated
Compiler: Compiled 10 853 to 2 255 computations (79.2% saved)

prune38.0ms (0.4%)

Memory

-2.0MiB live, 40.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

479 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.7%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
▶	84.6%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	54.2%	(/.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)
	63.3%	(/.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)
	64.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
▶	79.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
▶	52.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	52.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	64.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))

Compiler

Compiled 262 to 190 computations (27.5% saved)

simplify199.0ms (2.2%)

Memory

0.3MiB live, 190.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize247.0ms (2.7%)

Memory

11.6MiB live, 402.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.844019516995977	(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy	3.873182100430018	(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x))
accuracy	14.003803041510308	(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	25.675872228583376	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy	0.15234375	(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
accuracy	2.4242522764353516	(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy	4.600353910527051	(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
accuracy	24.873456762706134	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy	0	(/.f64 y x)
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
accuracy	22.56378948749752	#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	13.205468731003277	#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0	(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
accuracy	0.01171875	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy	22.256186350431147	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))

Samples

87.0ms	122×	1	valid
63.0ms	37×	2	valid
57.0ms	97×	0	valid

Compiler

Compiled 325 to 38 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-add: 67.0ms (40% of total)

ival-div: 25.0ms (14.9% of total)

ival-log: 24.0ms (14.3% of total)

ival-mult: 21.0ms (12.5% of total)

adjust: 13.0ms (7.8% of total)

const: 9.0ms (5.4% of total)

ival-exp: 3.0ms (1.8% of total)

ival-sub: 2.0ms (1.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory

14.8MiB live, 133.9MiB allocated

Counts

20 → 420

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	y	@	inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ 1 x) (/ y x) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (/ 1/2 x) x) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))))
4.0ms	x	@	0	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ 1 x) (/ y x) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (/ 1/2 x) x) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))))
4.0ms	y	@	-inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ 1 x) (/ y x) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (/ 1/2 x) x) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))))
3.0ms	x	@	-inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ 1 x) (/ y x) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (/ 1/2 x) x) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))))
3.0ms	x	@	inf	((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ 1 x) (/ y x) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (/ 1/2 x) x) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))))

simplify277.0ms (3%)

Memory

1.1MiB live, 273.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	10237
1	2078	8926
2	7436	8846
0	8097	8380

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

rewrite241.0ms (2.6%)

Memory

-3.7MiB live, 242.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	321
0	65	317
1	287	307
2	2999	307
0	8664	294

Stop Event

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

Counts

20 → 563

Calls

Call 1

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

Outputs
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eval226.0ms (2.5%)

Memory: -3.4MiB live, 377.2MiB allocated
Compiler: Compiled 38 537 to 3 967 computations (89.7% saved)

prune64.0ms (0.7%)

Memory

0.2MiB live, 144.7MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1 195	10	1 205
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	1 200	14	1 214

Accuracy

100.0%

Counts

1 214 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.7%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
✓	84.6%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	64.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
✓	79.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	53.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) #s(literal 1/6 binary64)) (/.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)))
	68.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	68.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
	41.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
▶	64.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
▶	3.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
▶	68.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	64.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
	6.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
	69.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))

Compiler

Compiled 306 to 241 computations (21.2% saved)

simplify150.0ms (1.6%)

Memory

-6.9MiB live, 183.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (*.f64 y x))
cost-diff	0	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
cost-diff	1024	(/.f64 (-.f64 x (*.f64 y x)) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(pow.f64 (/.f64 x (+.f64 y x)) x)
cost-diff	0	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	253
0	62	245
1	95	237
2	163	221
3	342	221
4	968	217
5	3228	217
6	6526	217
0	8228	213

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (2.3%)

Memory

45.4MiB live, 263.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x (*.f64 y x))
accuracy	0.015625	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
accuracy	4.960501265556351	(/.f64 (-.f64 x (*.f64 y x)) x)
accuracy	22.56378948749752	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(/.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
accuracy	22.56378948749752	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
accuracy	2.612003105867139	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
accuracy	9.431295961713683	#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
accuracy	24.873456762706134	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
accuracy	0	(/.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	22.56378948749752	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
accuracy	39.726420073330715	#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
accuracy	0	(+.f64 y x)
accuracy	0.00390625	(/.f64 x (+.f64 y x))
accuracy	0.01171875	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
accuracy	13.108926316982885	(pow.f64 (/.f64 x (+.f64 y x)) x)

Samples

111.0ms	111×	1	valid
74.0ms	145×	0	valid

Compiler

Compiled 182 to 42 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-add: 40.0ms (26.8% of total)

ival-div: 35.0ms (23.5% of total)

ival-sub: 19.0ms (12.8% of total)

ival-log: 17.0ms (11.4% of total)

ival-pow: 13.0ms (8.7% of total)

ival-mult: 12.0ms (8.1% of total)

adjust: 8.0ms (5.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series83.0ms (0.9%)

Memory

-1.4MiB live, 79.5MiB allocated

Counts

21 → 456

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ 1 (/ x (- 1 y))) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (- 1 y)) (- 1 y) (/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (+ (* 1/2 y) -1))
13.0ms	y	@	inf	((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ 1 (/ x (- 1 y))) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (- 1 y)) (- 1 y) (/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (+ (* 1/2 y) -1))
8.0ms	x	@	0	((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ 1 (/ x (- 1 y))) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (- 1 y)) (- 1 y) (/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (+ (* 1/2 y) -1))
4.0ms	x	@	inf	((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ 1 (/ x (- 1 y))) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (- 1 y)) (- 1 y) (/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (+ (* 1/2 y) -1))
3.0ms	y	@	-inf	((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ 1 (/ x (- 1 y))) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (- 1 y)) (- 1 y) (/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (+ (* 1/2 y) -1))

simplify265.0ms (2.9%)

Memory

-25.0MiB live, 332.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	524	8123
1	1605	6968
2	5158	6770
0	8396	6428

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 448

Calls

Call 1

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

rewrite196.0ms (2.1%)

Memory

29.3MiB live, 335.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	236
0	62	216
1	301	208
2	2610	208
0	9704	202

Stop Event

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

Counts

21 → 1 101

Calls

Call 1

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

Outputs
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eval322.0ms (3.5%)

Memory: -34.4MiB live, 382.1MiB allocated
Compiler: Compiled 26 989 to 3 912 computations (85.5% saved)

prune319.0ms (3.5%)

Memory

2.6MiB live, 119.3MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1 538	11	1 549
Fresh	2	5	7
Picked	3	2	5
Done	0	2	2
Total	1 543	20	1 563

Accuracy

100.0%

Counts

1 563 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.1%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	84.6%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
▶	64.7%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	79.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	53.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) #s(literal 1/6 binary64)) (/.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)))
	68.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
	40.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) y)) (.f64 x x)) x))
	7.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x))
	41.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
▶	70.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x))))
	70.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))))
	68.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))
✓	3.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	3.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
✓	68.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
▶	64.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
	7.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
▶	7.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
	5.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
▶	69.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))

Compiler

Compiled 423 to 329 computations (22.2% saved)

simplify250.0ms (2.7%)

Memory

17.7MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
cost-diff	320	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x)))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x))))
cost-diff	64	(fma.f64 (fma.f64 (fma.f64 y x x) y x) y x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	560
0	102	560
1	160	552
2	286	550
3	943	550
4	3383	542
5	6737	530
0	8119	512

Stop Event

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

Calls

Call 1

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

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

localize388.0ms (4.2%)

Memory

0.1MiB live, 293.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.631534355867139	(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)
accuracy	3.3485193288669612	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x)
accuracy	3.982739310579883	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y))
accuracy	24.873456762706134	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
accuracy	0.125	(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
accuracy	0.9673076432842795	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
accuracy	6.5109796939687214	#s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
accuracy	25.675872228583376	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
accuracy	2.612003105867139	(/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)
accuracy	9.431295961713683	#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x))
accuracy	24.873456762706134	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
accuracy	39.738430863961405	#s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
accuracy	22.578575587445627	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
accuracy	0.046875	(fma.f64 (fma.f64 (fma.f64 y x x) y x) y x)
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x)))
accuracy	22.56378948749752	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x))))
accuracy	22.818145040713635	#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x))

Samples

182.0ms	145×	0	valid
144.0ms	111×	1	valid

Compiler

Compiled 353 to 69 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-add: 80.0ms (31.9% of total)

ival-mult: 62.0ms (24.7% of total)

ival-div: 35.0ms (14% of total)

const: 24.0ms (9.6% of total)

ival-log: 15.0ms (6% of total)

adjust: 14.0ms (5.6% of total)

ival-pow: 13.0ms (5.2% of total)

ival-exp: 3.0ms (1.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series114.0ms (1.3%)

Memory

7.1MiB live, 125.2MiB allocated

Counts

21 → 456

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	y	@	inf	((+ (* (+ (* (+ (* y x) x) y) x) y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 (/ x (- 1 y))) (/ x (- 1 y)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) x) (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (+ (* -1/6 y) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x))
30.0ms	x	@	-inf	((+ (* (+ (* (+ (* y x) x) y) x) y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 (/ x (- 1 y))) (/ x (- 1 y)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) x) (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (+ (* -1/6 y) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x))
5.0ms	x	@	inf	((+ (* (+ (* (+ (* y x) x) y) x) y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 (/ x (- 1 y))) (/ x (- 1 y)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) x) (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (+ (* -1/6 y) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x))
4.0ms	x	@	0	((+ (* (+ (* (+ (* y x) x) y) x) y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 (/ x (- 1 y))) (/ x (- 1 y)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) x) (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (+ (* -1/6 y) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x))
3.0ms	y	@	-inf	((+ (* (+ (* (+ (* y x) x) y) x) y) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 (/ x (- 1 y))) (/ x (- 1 y)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) x) (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (+ (* -1/6 y) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x))

simplify203.0ms (2.2%)

Memory

-24.6MiB live, 368.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	10071
1	2079	8975
2	7392	8901
0	8103	8324

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 453

Calls

Call 1

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

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

rewrite187.0ms (2%)

Memory

14.4MiB live, 290.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	495
0	102	487
1	484	487
2	4430	487
0	8690	465

Stop Event

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

Counts

21 → 253

Calls

Call 1

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

Outputs
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eval90.0ms (1%)

Memory: 29.3MiB live, 218.6MiB allocated
Compiler: Compiled 15 564 to 2 042 computations (86.9% saved)

prune64.0ms (0.7%)

Memory

-25.7MiB live, 138.8MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	699	7	706
Fresh	2	9	11
Picked	1	4	5
Done	0	4	4
Total	702	24	726

Accuracy

100.0%

Counts

726 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.1%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
✓	84.6%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
✓	64.7%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	79.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	40.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) y)) (.f64 x x)) x))
	7.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x))
	41.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
✓	70.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x))))
	70.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))))
	68.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))
✓	3.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	3.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
✓	68.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	10.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x)))
	7.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
✓	7.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
	5.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
✓	69.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	69.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	69.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) y)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	68.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	69.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))))))
	69.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
	68.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 y x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 792 to 429 computations (45.8% saved)

regimes42.0ms (0.5%)

Memory

4.5MiB live, 82.3MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (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(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) y)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) y)) (.f64 x x)) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 y x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) #s(literal 1/6 binary64)) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(/.f64 (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:

16.0ms	x
13.0ms	y
10.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
99.9%	3	`x`
88.5%	3	`y`
93.1%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes33.0ms (0.4%)

Memory

11.5MiB live, 87.1MiB allocated

Counts

33 → 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))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (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(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) y)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) y)) (.f64 x x)) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) y) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 y x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) #s(literal 1/6 binary64)) (/.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)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.5%	1	`y`
83.7%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
88.5%	4	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes7.0ms (0.1%)

Memory

-14.4MiB live, 23.9MiB allocated

Counts

16 → 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))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (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(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
88.1%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

15 → 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))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (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(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
88.1%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

-18.3MiB live, 23.6MiB allocated

Counts

14 → 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))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (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(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
87.7%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory

14.9MiB live, 14.9MiB 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))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
84.4%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
83.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

-13.4MiB live, 25.2MiB allocated

Accuracy

Total -48.4b remaining (-368.4%)

Threshold costs -48.4b (-368.4%)

Counts

5 → 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))))

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

Calls

3 calls:

4.0ms	x
2.0ms	y
2.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
79.5%	1	`y`
79.5%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
79.5%	1	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch47.0ms (0.5%)

Memory

20.0MiB live, 95.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.246045177328579e-23	3.32406347107672e-21
26.0ms	-3.1129354475777064e+21	-79380670417.16486

Samples

24.0ms	260×	0	valid
5.0ms	67×	0	invalid
3.0ms	12×	1	valid

Compiler

Compiled 184 to 234 computations (-27.2% saved)

Precisions

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

ival-div: 7.0ms (34.2% of total)

ival-log: 5.0ms (24.4% of total)

ival-exp: 3.0ms (14.7% of total)

ival-add: 2.0ms (9.8% of total)

ival-mult: 2.0ms (9.8% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch44.0ms (0.5%)

Memory

10.7MiB live, 80.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.246045177328579e-23	3.32406347107672e-21
1.0ms	-3.1129354475777064e+21	-79380670417.16486
39.0ms	-5.73351577550823e+211	-4.8832376642718495e+210

Samples

29.0ms	88×	1	valid
1.0ms	8×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 470 to 447 computations (4.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log: 18.0ms (67.4% of total)

ival-div: 3.0ms (11.2% of total)

ival-add: 1.0ms (3.7% of total)

adjust: 1.0ms (3.7% of total)

ival-exp: 1.0ms (3.7% of total)

ival-mult: 1.0ms (3.7% of total)

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

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

bsearch5.0ms (0.1%)

Memory

-30.2MiB live, 8.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.246045177328579e-23	3.32406347107672e-21
3.0ms	-3.1129354475777064e+21	-79380670417.16486
1.0ms	-5.73351577550823e+211	-4.8832376642718495e+210

Compiler

Compiled 449 to 440 computations (2% saved)

bsearch3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.246045177328579e-23	3.32406347107672e-21
1.0ms	-3.1129354475777064e+21	-79380670417.16486
1.0ms	-5.73351577550823e+211	-4.8832376642718495e+210

Compiler

Compiled 449 to 440 computations (2% saved)

bsearch18.0ms (0.2%)

Memory

-0.2MiB live, 38.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.246045177328579e-23	3.32406347107672e-21
1.0ms	-3.1129354475777064e+21	-79380670417.16486
15.0ms	-5.73351577550823e+211	-4.8832376642718495e+210

Samples

12.0ms	43×	1	valid
0.0ms	5×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 401 to 408 computations (-1.7% saved)

Precisions

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

ival-log: 7.0ms (63.9% of total)

ival-add: 1.0ms (9.1% of total)

ival-div: 1.0ms (9.1% of total)

adjust: 1.0ms (9.1% of total)

ival-exp: 1.0ms (9.1% of total)

ival-mult: 1.0ms (9.1% of total)

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

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

bsearch2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.246045177328579e-23	3.32406347107672e-21
1.0ms	-3.1129354475777064e+21	-79380670417.16486

Compiler

Compiled 248 to 281 computations (-13.3% saved)

bsearch51.0ms (0.6%)

Memory

0.2MiB live, 136.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.246045177328579e-23	3.32406347107672e-21
47.0ms	-3.1129354475777064e+21	-79380670417.16486

Samples

21.0ms	107×	1	valid
16.0ms	37×	0	valid
3.0ms	29×	0	invalid

Compiler

Compiled 218 to 251 computations (-15.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-exp: 16.0ms (47% of total)

ival-log: 8.0ms (23.5% of total)

ival-div: 4.0ms (11.8% of total)

ival-mult: 3.0ms (8.8% of total)

adjust: 2.0ms (5.9% of total)

ival-add: 2.0ms (5.9% of total)

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

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

simplify28.0ms (0.3%)

Memory

-16.3MiB live, 63.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	775
1	106	775
2	108	775
3	109	775

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -80000000000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 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 -31000000000000001682475948625259441718530980077193067584976117429858813975234936117029044311748874319939091479367087397187604239977541208079715337222326642327277829652382635171149044771021030611650247695471214592 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))) (if (<=.f64 x #s(literal -80000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x)))))))
(if (<=.f64 x #s(literal -31000000000000001682475948625259441718530980077193067584976117429858813975234936117029044311748874319939091479367087397187604239977541208079715337222326642327277829652382635171149044771021030611650247695471214592 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))) (if (<=.f64 x #s(literal -80000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))))))
(if (<=.f64 x #s(literal -31000000000000001682475948625259441718530980077193067584976117429858813975234936117029044311748874319939091479367087397187604239977541208079715337222326642327277829652382635171149044771021030611650247695471214592 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))) (if (<=.f64 x #s(literal -80000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) 1/2) (.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))))))
(if (<=.f64 x #s(literal -19000000000000000805133362426201210865137065648742606744469265936565464908381421894524683390022585367927763223370715822147415904984912042719249708231984949642006160525869325003121549381678471557872901513650634752 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))) (if (<=.f64 x #s(literal -80000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))))))
(if (<=.f64 x #s(literal -80000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))))
(if (<=.f64 x #s(literal -300000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (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 -80000000000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 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 -31000000000000001682475948625259441718530980077193067584976117429858813975234936117029044311748874319939091479367087397187604239977541208079715337222326642327277829652382635171149044771021030611650247695471214592 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))) (if (<=.f64 x #s(literal -80000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 (fma.f64 y x x) y x) y x)))))))
(if (<=.f64 x #s(literal -31000000000000001682475948625259441718530980077193067584976117429858813975234936117029044311748874319939091479367087397187604239977541208079715337222326642327277829652382635171149044771021030611650247695471214592 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))) (if (<=.f64 x #s(literal -80000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))))))
(if (<=.f64 x #s(literal -31000000000000001682475948625259441718530980077193067584976117429858813975234936117029044311748874319939091479367087397187604239977541208079715337222326642327277829652382635171149044771021030611650247695471214592 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))) (if (<=.f64 x #s(literal -80000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (/ (neg y) x)) (+ (/ (/ 1/2 x) x) (/ 1/2 x))) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) 1/2) (.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))))))
(if (<=.f64 x #s(literal -19000000000000000805133362426201210865137065648742606744469265936565464908381421894524683390022585367927763223370715822147415904984912042719249708231984949642006160525869325003121549381678471557872901513650634752 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))) (if (<=.f64 x #s(literal -80000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)))))))
(if (<=.f64 x #s(literal -80000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))))
(if (<=.f64 x #s(literal -300000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))) (if (<=.f64 x #s(literal 8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

soundness902.0ms (9.9%)

Memory

12.5MiB live, 616.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	10071
1	2079	8975
2	7392	8901
0	8103	8324
0	39	321
0	65	317
1	287	307
2	2999	307
0	8664	294
0	554	3184
1	1674	2659
2	5689	2574
0	8306	2445
0	524	8123
1	1605	6968
2	5158	6770
0	8396	6428
0	670	10237
1	2078	8926
2	7436	8846
0	8097	8380

Stop Event

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

Compiler

Compiled 429 to 225 computations (47.6% saved)

preprocess90.0ms (1%)

Memory: 8.1MiB live, 165.1MiB allocated
Compiler: Compiled 700 to 192 computations (72.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze70.0ms (0.8%)

sample2.3s (25.4%)

explain236.0ms (2.6%)

preprocess105.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize75.0ms (0.8%)

series49.0ms (0.5%)

simplify179.0ms (2%)

rewrite462.0ms (5.1%)

eval148.0ms (1.6%)

prune38.0ms (0.4%)

simplify199.0ms (2.2%)

localize247.0ms (2.7%)

series51.0ms (0.6%)

simplify277.0ms (3%)

rewrite241.0ms (2.6%)

eval226.0ms (2.5%)

prune64.0ms (0.7%)

simplify150.0ms (1.6%)

localize210.0ms (2.3%)

series83.0ms (0.9%)

simplify265.0ms (2.9%)

rewrite196.0ms (2.1%)

eval322.0ms (3.5%)

prune319.0ms (3.5%)

simplify250.0ms (2.7%)

localize388.0ms (4.2%)

series114.0ms (1.3%)

simplify203.0ms (2.2%)

rewrite187.0ms (2%)

eval90.0ms (1%)

prune64.0ms (0.7%)

regimes42.0ms (0.5%)

regimes33.0ms (0.4%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

bsearch47.0ms (0.5%)

bsearch44.0ms (0.5%)

bsearch5.0ms (0.1%)

bsearch3.0ms (0%)

bsearch18.0ms (0.2%)

bsearch2.0ms (0%)

bsearch51.0ms (0.6%)

simplify28.0ms (0.3%)

soundness902.0ms (9.9%)

preprocess90.0ms (1%)

end0.0ms (0%)

Profiling