Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, D

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.2s (16.6%)

Memory

10.2MiB live, 1 440.7MiB allocated

Samples

594.0ms	6 355×	0	valid
239.0ms	1 642×	1	valid
46.0ms	259×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 536.0ms

ival-sub: 186.0ms (34.7% of total)

ival-add: 121.0ms (22.6% of total)

ival-mult: 97.0ms (18.1% of total)

ival-div: 71.0ms (13.3% of total)

adjust: 45.0ms (8.4% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain121.0ms (1.6%)

Memory

-6.2MiB live, 192.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
64	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
28	-	-	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
0	-	-	`(+.f64 y #s(literal 1 binary64))`
0	-	-	`y`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`	cancellation	64	0
`/.f64`	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`	o/n	28	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`	overflow	28

Confusion

	Predicted +	Predicted -
+	92	0
-	0	164

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	0	0	164

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	164
1	92

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	384×	0	valid
13.0ms	104×	1	valid
5.0ms	24×	2	valid

Compiler

Compiled 83 to 28 computations (66.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 7.0ms (29.4% of total)

ival-mult: 5.0ms (21% of total)

ival-div: 4.0ms (16.8% of total)

ival-add: 4.0ms (16.8% of total)

adjust: 3.0ms (12.6% of total)

ival-true: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

preprocess161.0ms (2.2%)

Memory

8.5MiB live, 89.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	61
1	58	57
2	180	55
3	539	55
4	1584	55
5	3893	55
6	4625	55
7	4956	55
8	4960	55
9	4960	55
10	5176	55
11	5272	55
12	5272	55
13	5272	55
0	8	11
0	13	11
1	23	11
2	48	11
3	120	11
4	361	11
5	901	11
6	1739	11
7	1941	11
8	1965	11
0	1965	10

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Outputs

(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify38.0ms (0.5%)

Memory

-0.3MiB live, 38.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff	0	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	23	34
2	48	34
3	120	34
4	361	34
5	901	34
6	1739	34
7	1941	34
8	1965	34
0	1965	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
x
y
(+.f64 y #s(literal 1 binary64))

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

localize54.0ms (0.7%)

Memory

-24.2MiB live, 97.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.015625	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	6.572285406165043	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
accuracy	14.975240212602277	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Samples

28.0ms	192×	0	valid
12.0ms	52×	1	valid
3.0ms	12×	2	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38.8% of total)

ival-sub: 4.0ms (22.2% of total)

ival-div: 3.0ms (16.6% of total)

adjust: 2.0ms (11.1% of total)

ival-add: 2.0ms (11.1% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

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

simplify187.0ms (2.5%)

Memory

-10.5MiB live, 181.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	823
1	400	799
2	1127	684
3	4559	669
0	8305	648

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

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

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

rewrite140.0ms (1.9%)

Memory

27.7MiB live, 265.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	63	31
2	533	31
0	8517	30

Stop Event

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

Counts

5 → 473

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
(+.f64 y #s(literal 1 binary64))

Outputs
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eval107.0ms (1.4%)

Memory: 3.0MiB live, 158.2MiB allocated
Compiler: Compiled 12 316 to 1 657 computations (86.5% saved)

prune19.0ms (0.3%)

Memory

-16.7MiB live, 59.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	553	11	564
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	554	11	565

Accuracy

100.0%

Counts

565 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	65.1%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64))))
	39.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
	24.9%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
	48.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
▶	52.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	52.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
	49.1%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
	48.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
▶	49.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
▶	38.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))

Compiler

Compiled 206 to 168 computations (18.4% saved)

simplify317.0ms (4.3%)

Memory

2.1MiB live, 177.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y #s(literal 1 binary64))
cost-diff	0	(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff	0	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
cost-diff	0	(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 #s(literal -1 binary64) y)
cost-diff	0	(/.f64 y (-.f64 #s(literal -1 binary64) y))
cost-diff	0	(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	155
0	40	155
1	73	155
2	146	151
3	328	151
4	906	151
5	2379	151
6	3998	151
7	4863	151
8	5112	151
9	5215	151
10	5251	151
11	5318	151
12	5363	151
13	5363	151
14	5363	151
15	5703	151
16	5831	151
17	5831	151
0	5831	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize133.0ms (1.8%)

Memory

-8.2MiB live, 147.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy	0.01171875	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
accuracy	32.28150861270128	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
accuracy	0	(+.f64 #s(literal -1 binary64) y)
accuracy	0.015625	(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
accuracy	0.01953125	(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
accuracy	30.400610673259564	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	30.171527924266105	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	39.46080905351728	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(-.f64 #s(literal -1 binary64) y)
accuracy	0.0078125	(/.f64 y (-.f64 #s(literal -1 binary64) y))
accuracy	14.983052712602277	(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Samples

52.0ms	193×	0	valid
28.0ms	12×	2	valid
27.0ms	51×	1	valid

Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-sub: 23.0ms (33.9% of total)

ival-mult: 21.0ms (31% of total)

adjust: 10.0ms (14.8% of total)

ival-div: 7.0ms (10.3% of total)

ival-add: 7.0ms (10.3% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory

3.4MiB live, 40.5MiB allocated

Counts

16 → 300

Calls

Call 1

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

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

Calls

6 calls:

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

simplify322.0ms (4.4%)

Memory

6.5MiB live, 310.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	3074
1	850	2602
2	2548	2338
0	8506	2196

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 283

Calls

Call 1

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

rewrite259.0ms (3.5%)

Memory

-3.9MiB live, 232.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	137
0	40	137
1	175	133
2	1521	133
0	8327	133

Stop Event

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

Counts

16 → 519

Calls

Call 1

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

Outputs
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eval208.0ms (2.8%)

Memory: -10.7MiB live, 181.5MiB allocated
Compiler: Compiled 14 740 to 2 194 computations (85.1% saved)

prune71.0ms (1%)

Memory

-2.5MiB live, 74.8MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	833	8	841
Fresh	1	5	6
Picked	2	3	5
Done	0	0	0
Total	836	16	852

Accuracy

100.0%

Counts

852 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.6%	(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
▶	39.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
▶	24.9%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
	48.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
✓	52.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
	38.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
	39.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)))
▶	49.1%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
	48.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
▶	15.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
	38.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
	16.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
	15.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x y))))
	35.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
✓	38.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
▶	35.3%	#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)

Compiler

Compiled 233 to 198 computations (15% saved)

simplify280.0ms (3.8%)

Memory

-25.1MiB live, 225.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y #s(literal 1 binary64))
cost-diff	0	(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (neg.f64 y) y y)
cost-diff	0	#s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y))
cost-diff	0	(*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
cost-diff	64	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
cost-diff	128	(-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	247
0	53	247
1	94	247
2	182	247
3	454	247
4	1505	243
5	5392	243
6	7505	243
0	8052	238

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.5%)

Memory

36.5MiB live, 232.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy	14.975240212602277	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
accuracy	30.349424398425754	#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)
accuracy	30.558799714397615	#s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y))
accuracy	32.28150861270128	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	14.975240212602277	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
accuracy	32.75663424638224	#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))
accuracy	41.43240126933446	#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)
accuracy	0.0078125	(-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
accuracy	0.05859375	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
accuracy	0.09765625	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
accuracy	32.589669887399744	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))

Samples

52.0ms	192×	0	valid
25.0ms	52×	1	valid
8.0ms	12×	2	valid

Compiler

Compiled 186 to 28 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 18.0ms (28.5% of total)

ival-mult: 16.0ms (25.4% of total)

ival-sub: 11.0ms (17.4% of total)

ival-add: 10.0ms (15.9% of total)

adjust: 5.0ms (7.9% of total)

ival-neg: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.6%)

Memory

-31.9MiB live, 47.9MiB allocated

Counts

17 → 336

Calls

Call 1

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

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

Calls

6 calls:

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

simplify233.0ms (3.2%)

Memory

11.9MiB live, 370.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	4516
1	1077	4105
2	3437	3737
0	8433	3613

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 319

Calls

Call 1

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

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

rewrite171.0ms (2.3%)

Memory

25.9MiB live, 300.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	218
0	53	218
1	248	218
2	2306	218
0	8705	215

Stop Event

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

Counts

17 → 355

Calls

Call 1

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

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eval94.0ms (1.3%)

Memory: -6.6MiB live, 259.7MiB allocated
Compiler: Compiled 15 077 to 2 034 computations (86.5% saved)

prune51.0ms (0.7%)

Memory

-3.3MiB live, 126.0MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	706	6	712
Fresh	1	7	8
Picked	2	3	5
Done	0	3	3
Total	709	19	728

Accuracy

100.0%

Counts

728 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.6%	(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	39.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
	3.2%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
✓	52.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	38.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
	39.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)))
	48.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
	48.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64))) y)))
▶	48.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y)))
▶	48.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) x)) x)) y)))
✓	15.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
	2.4%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (.f64 #s(approx (/ y (+ y 1)) #s(approx (+ ( (neg y) y) y) (*.f64 (neg.f64 y) y))) x))
	48.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (fma.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y))) x x)))
▶	38.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
	16.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
	15.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x y))))
▶	35.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
✓	38.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
✓	35.3%	#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)

Compiler

Compiled 362 to 271 computations (25.1% saved)

simplify139.0ms (1.9%)

Memory

22.8MiB live, 211.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y)
cost-diff	0	(-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 x (/.f64 x y))
cost-diff	0	#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	#s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	(-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) x)) x)) y))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) x)) x)) y)))
cost-diff	896	(fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) x))
cost-diff	1792	(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	559
0	71	559
1	131	559
2	281	553
3	698	553
4	2378	485
5	7550	485
0	8142	477

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (2.3%)

Memory

-35.2MiB live, 419.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y))
accuracy	0.05859375	(/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y)
accuracy	28.492329091734124	#s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)))
accuracy	32.589669887399744	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y)))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 x (/.f64 x y))
accuracy	32.28150861270128	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
accuracy	32.92990386497247	#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.01953125	(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))
accuracy	30.35480820921099	#s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64)))
accuracy	30.400610673259564	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	23.782178423600108	#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
accuracy	30.171527924266105	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
accuracy	3.8001835506252553	(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) x)
accuracy	4.075695887153945	(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) x)) x)
accuracy	5.304650344943705	(fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) x))
accuracy	32.589669887399744	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) x)) x)) y)))

Samples

87.0ms	192×	0	valid
42.0ms	52×	1	valid
9.0ms	12×	2	valid

Compiler

Compiled 325 to 41 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-div: 45.0ms (45.3% of total)

ival-mult: 21.0ms (21.1% of total)

ival-sub: 15.0ms (15.1% of total)

ival-add: 10.0ms (10.1% of total)

adjust: 7.0ms (7% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.6%)

Memory

18.0MiB live, 99.7MiB allocated

Counts

20 → 456

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((* (+ (* (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) x) (+ (* (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (/ (- (/ (/ (- y 1) y) y) 1) x))
4.0ms	x	@	-inf	((* (+ (* (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) x) (+ (* (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (/ (- (/ (/ (- y 1) y) y) 1) x))
4.0ms	x	@	0	((* (+ (* (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) x) (+ (* (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (/ (- (/ (/ (- y 1) y) y) 1) x))
2.0ms	y	@	-inf	((* (+ (* (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) x) (+ (* (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (/ (- (/ (/ (- y 1) y) y) 1) x))
2.0ms	y	@	0	((* (+ (* (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) x) (+ (* (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (/ (- (/ (/ (- y 1) y) y) 1) x))

simplify175.0ms (2.4%)

Memory

-7.7MiB live, 261.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	379	6453
1	1198	5884
2	3660	5120
0	8829	4913

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 436

Calls

Call 1

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

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

rewrite184.0ms (2.5%)

Memory

-3.6MiB live, 281.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	416
0	71	416
1	361	388
2	3779	388
0	8618	375

Stop Event

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

Counts

20 → 292

Calls

Call 1

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

Outputs
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eval115.0ms (1.6%)

Memory: 19.2MiB live, 211.3MiB allocated
Compiler: Compiled 18 160 to 2 512 computations (86.2% saved)

prune75.0ms (1%)

Memory

-8.8MiB live, 76.2MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	816	4	820
Fresh	2	6	8
Picked	1	4	5
Done	0	6	6
Total	819	20	839

Accuracy

100.0%

Counts

839 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.6%	(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	39.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
	3.2%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
✓	52.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
✓	38.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
	39.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)))
	48.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
	48.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64))) y)))
✓	48.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y)))
	48.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (.f64 #s(approx (+ ( (- (/ (/ (- y 1) y) y) 1) -1) (/ (- (/ (/ (- y 1) y) y) 1) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x)) y)))
✓	15.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
	2.4%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (.f64 #s(approx (/ y (+ y 1)) #s(approx (+ ( (neg y) y) y) (*.f64 (neg.f64 y) y))) x))
	48.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (fma.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y))) x x)))
✓	38.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
	16.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)))
	2.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
	15.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))))
✓	35.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
✓	38.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
✓	35.3%	#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)

Compiler

Compiled 501 to 282 computations (43.7% saved)

regimes60.0ms (0.8%)

Memory

22.6MiB live, 60.9MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

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

Calls

5 calls:

25.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
9.0ms	x
9.0ms	y
8.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
8.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
80.6%	3	`x`
100.0%	3	`y`
100.0%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
100.0%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
76.6%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 25 to 23 computations (8% saved)

regimes42.0ms (0.6%)

Memory

-0.3MiB live, 38.0MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

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

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

Calls

3 calls:

26.0ms	y
7.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
7.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
100.0%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
100.0%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
99.9%	3	`y`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes60.0ms (0.8%)

Memory

-3.3MiB live, 40.4MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

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

Calls

3 calls:

44.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
8.0ms	y
7.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.9%	3	`y`
99.9%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.9%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes61.0ms (0.8%)

Memory

-23.6MiB live, 54.4MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

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

Calls

3 calls:

28.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
25.0ms	y
7.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.8%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.8%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
99.9%	3	`y`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes8.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes30.0ms (0.4%)

Memory

2.4MiB live, 41.8MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

17.0ms	y
6.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
5.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.4%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.4%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
99.3%	3	`y`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes21.0ms (0.3%)

Memory

-36.7MiB live, 12.9MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (0.6%)

Memory

-3.6MiB live, 36.0MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

30.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
5.0ms	y
5.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
75.1%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
75.1%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
85.5%	3	`y`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
85.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes28.0ms (0.4%)

Memory

-9.7MiB live, 29.4MiB allocated

Counts

9 → 4

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
3.0ms	y
3.0ms	x
3.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
3.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
73.3%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
73.3%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
52.3%	4	`(-.f64 #s(literal 1 binary64) x)`
52.9%	4	`x`
72.5%	4	`y`

Compiler

Compiled 25 to 23 computations (8% saved)

regimes6.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
3.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
73.3%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
73.3%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
2.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
70.4%	3	`y`
70.3%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
70.3%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes6.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)

#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))

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

Outputs
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)

Calls

3 calls:

2.0ms	y
2.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
2.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
70.1%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
70.1%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
70.3%	3	`y`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes17.0ms (0.2%)

Memory

-26.5MiB live, 12.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)

Outputs
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)

Calls

5 calls:

11.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
1.0ms	x
1.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
1.0ms	y
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
35.3%	1	`(-.f64 #s(literal 1 binary64) x)`
35.3%	1	`x`
35.3%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
35.3%	1	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
35.3%	1	`y`

Compiler

Compiled 25 to 23 computations (8% saved)

bsearch33.0ms (0.4%)

Memory

-4.4MiB live, 35.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6558.949534508473	900313.2044312202
14.0ms	-25092.215157783907	-1.7046772647654873e-7

Samples

14.0ms

272×

valid

Compiler

Compiled 507 to 387 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 3.0ms (37.5% of total)

ival-div: 2.0ms (25% of total)

ival-mult: 2.0ms (25% of total)

ival-add: 1.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000016	1.0000000000003582
0.0ms	0.005335242299622833	0.9999988892766603

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch34.0ms (0.5%)

Memory

-0.5MiB live, 38.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6558.949534508473	900313.2044312202
15.0ms	-682082037318716.5	-1829858346546.2021

Samples

8.0ms	155×	0	valid
7.0ms	69×	1	valid

Compiler

Compiled 404 to 328 computations (18.8% saved)

Precisions

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

ival-sub: 3.0ms (30.8% of total)

ival-div: 2.0ms (20.5% of total)

ival-mult: 2.0ms (20.5% of total)

adjust: 1.0ms (10.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

24.8MiB live, 24.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2029269.0448355428	1.401671277717672e+22
1.0ms	-682082037318716.5	-1829858346546.2021

Samples

8.0ms	152×	0	valid
1.0ms	8×	1	valid

Compiler

Compiled 356 to 319 computations (10.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (39.1% of total)

ival-div: 1.0ms (19.6% of total)

ival-add: 1.0ms (19.6% of total)

ival-mult: 1.0ms (19.6% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.4%)

Memory

-10.4MiB live, 28.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	2029269.0448355428	1.401671277717672e+22
22.0ms	-1829858346546.2021	-2903115.258477417

Samples

9.0ms	167×	0	valid
1.0ms	9×	1	valid

Compiler

Compiled 356 to 336 computations (5.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (35.2% of total)

ival-div: 1.0ms (17.6% of total)

ival-add: 1.0ms (17.6% of total)

ival-mult: 1.0ms (17.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Memory

22.0MiB live, 61.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.659615295327621e-8	6558.949534508473
12.0ms	-25092.215157783907	-1.7046772647654873e-7

Samples

16.0ms

288×

valid

Compiler

Compiled 394 to 373 computations (5.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 3.0ms (35.4% of total)

ival-div: 2.0ms (23.6% of total)

ival-mult: 2.0ms (23.6% of total)

ival-add: 1.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0.1%)

Memory

-35.0MiB live, 5.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	8.659615295327621e-8	6558.949534508473
1.0ms	-25092.215157783907	-1.7046772647654873e-7

Compiler

Compiled 314 to 313 computations (0.3% saved)

bsearch10.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	8.659615295327621e-8	6558.949534508473
1.0ms	-25092.215157783907	-1.7046772647654873e-7

Samples

4.0ms

80×

valid

Compiler

Compiled 294 to 293 computations (0.3% saved)

Precisions

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

ival-div: 1.0ms (42.4% of total)

ival-sub: 1.0ms (42.4% of total)

ival-mult: 1.0ms (42.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.659615295327621e-8	6558.949534508473
1.0ms	-25092.215157783907	-1.7046772647654873e-7

Compiler

Compiled 194 to 233 computations (-20.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999988892766603	1.0
0.0ms	-56.584036571323324	-0.09345827479236216
0.0ms	-inf	-9.002417004678475e+214

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.002417004678475e+214	+inf
0.0ms	1.0934582747923622	57.584036571323324
0.0ms	1.1107233397478211e-6	0.9946647577003772

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch8.0ms (0.1%)

Memory

-23.8MiB live, 15.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	8.659615295327621e-8	6558.949534508473
1.0ms	-25092.215157783907	-1.7046772647654873e-7

Samples

4.0ms

48×

valid

Compiler

Compiled 154 to 233 computations (-51.3% saved)

Precisions

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

ival-mult: 2.0ms (69.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-4.1MiB live, 34.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.659615295327621e-8	6558.949534508473
1.0ms	-25092.215157783907	-1.7046772647654873e-7

Samples

7.0ms

144×

valid

Compiler

Compiled 94 to 193 computations (-105.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (24% of total)

ival-sub: 1.0ms (24% of total)

ival-add: 1.0ms (24% of total)

ival-mult: 1.0ms (24% of total)

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

exact: 0.0ms (0% of total)

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

simplify59.0ms (0.8%)

Memory

4.9MiB live, 84.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	988
1	180	988
2	234	988
3	287	988
4	318	988
5	342	988
6	415	988
7	514	988
8	648	988
9	810	988
10	934	988
11	1027	988
12	1071	988
13	1081	988
14	1083	988

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -11000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) (if (<=.f64 y #s(literal 15000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4503599627371397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64))) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))))
(if (<=.f64 y #s(literal -1850000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y))) (if (<=.f64 y #s(literal 190000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y)))))
(if (<=.f64 y #s(literal -1850000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 120000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -155000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 140000000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -inf.0 binary64)) #s(approx (+ ( (/ y (- -1 y)) (- 1 x)) 1) x) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -50 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (.f64 x y))) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4503594625117277/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (+ ( (/ y (- -1 y)) (- 1 x)) 1) x) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (.f64 x y))) #s(approx (+ ( (/ y (- -1 y)) (- 1 x)) 1) x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x) (if (<=.f64 y #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x) (if (<=.f64 y #s(literal 3386706919782613/144115188075855872 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)))
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)

Outputs
(if (<=.f64 y #s(literal -11000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) (if (<=.f64 y #s(literal 15000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4503599627371397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64))) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 5764607523034235/576460752303423488 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 4503599627371397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64))) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x))))
(if (<=.f64 y #s(literal -1850000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y))) (if (<=.f64 y #s(literal 190000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y)))))
(if (<=.f64 y #s(literal -1850000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y))) (if (<=.f64 y #s(literal 190000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))) y)))))
(if (<=.f64 y #s(literal -1850000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 120000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1850000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 120000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -155000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 140000000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
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(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -inf.0 binary64)) #s(approx (+ ( (/ y (- -1 y)) (- 1 x)) 1) x) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -50 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (.f64 x y))) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4503594625117277/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x))))
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(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x) (if (<=.f64 y #s(literal 3386706919782613/144115188075855872 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)))
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) x)

soundness1.3s (17.9%)

Memory

2.1MiB live, 966.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	3074
1	850	2602
2	2548	2338
0	8506	2196
0	127	823
1	400	799
2	1127	684
3	4559	669
0	8305	648
0	8	31
0	13	31
1	63	31
2	533	31
0	8517	30
0	327	4516
1	1077	4105
2	3437	3737
0	8433	3613

Stop Event

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

Compiler

Compiled 767 to 339 computations (55.8% saved)

preprocess128.0ms (1.7%)

Memory: 3.2MiB live, 234.2MiB allocated
Compiler: Compiled 1 070 to 302 computations (71.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze14.0ms (0.2%)

sample1.2s (16.6%)

explain121.0ms (1.6%)

preprocess161.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify38.0ms (0.5%)

localize54.0ms (0.7%)

series15.0ms (0.2%)

simplify187.0ms (2.5%)

rewrite140.0ms (1.9%)

eval107.0ms (1.4%)

prune19.0ms (0.3%)

simplify317.0ms (4.3%)

localize133.0ms (1.8%)

series39.0ms (0.5%)

simplify322.0ms (4.4%)

rewrite259.0ms (3.5%)

eval208.0ms (2.8%)

prune71.0ms (1%)

simplify280.0ms (3.8%)

localize107.0ms (1.5%)

series42.0ms (0.6%)

simplify233.0ms (3.2%)

rewrite171.0ms (2.3%)

eval94.0ms (1.3%)

prune51.0ms (0.7%)

simplify139.0ms (1.9%)

localize166.0ms (2.3%)

series42.0ms (0.6%)

simplify175.0ms (2.4%)

rewrite184.0ms (2.5%)

eval115.0ms (1.6%)

prune75.0ms (1%)

regimes60.0ms (0.8%)

regimes42.0ms (0.6%)

regimes60.0ms (0.8%)

regimes61.0ms (0.8%)

regimes8.0ms (0.1%)

regimes30.0ms (0.4%)

regimes21.0ms (0.3%)

regimes41.0ms (0.6%)

regimes6.0ms (0.1%)

regimes28.0ms (0.4%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes17.0ms (0.2%)

bsearch33.0ms (0.4%)

bsearch1.0ms (0%)

bsearch34.0ms (0.5%)

bsearch17.0ms (0.2%)

bsearch28.0ms (0.4%)

bsearch30.0ms (0.4%)

bsearch4.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

bsearch16.0ms (0.2%)

simplify59.0ms (0.8%)

soundness1.3s (17.9%)

preprocess128.0ms (1.7%)

end0.0ms (0%)

Profiling