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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze48.0ms (0.6%)

Memory

-13.3MiB live, 22.4MiB 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)

sample1.0s (11.9%)

Memory

28.3MiB live, 1 460.2MiB allocated

Samples

458.0ms	6 276×	0	valid
228.0ms	1 687×	1	valid
55.0ms	293×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-mult: 147.0ms (31.8% of total)

ival-sub: 136.0ms (29.4% of total)

ival-div: 67.0ms (14.5% of total)

ival-add: 51.0ms (11% of total)

adjust: 48.0ms (10.4% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain156.0ms (1.8%)

Memory

-24.4MiB live, 213.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
73	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
26	-	-	`(/.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	73	1
`/.f64`	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`	o/n	26	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`	overflow	26

Confusion

	Predicted +	Predicted -
+	99	0
-	0	157

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	99	0	0
-	0	1	156

Precision?

0.99

Recall?

1.0

Freqs

test

number	freq
0	157
1	99

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms	374×	0	valid
16.0ms	122×	1	valid
3.0ms	16×	2	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

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

ival-sub: 8.0ms (33.2% of total)

ival-div: 4.0ms (16.6% of total)

ival-mult: 4.0ms (16.6% of total)

adjust: 3.0ms (12.4% of total)

ival-add: 3.0ms (12.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess176.0ms (2%)

Memory

41.9MiB live, 116.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 090×	`times-frac`
928×	`lower-fma.f64`
928×	`lower-fma.f32`
882×	`div-sub`
614×	`unsub-neg`

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Memory

-34.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify63.0ms (0.7%)

Memory

13.9MiB live, 70.6MiB 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))))

Rules

928×	`lower-fma.f64`
928×	`lower-fma.f32`
416×	`lower-*.f32`
414×	`lower-*.f64`
308×	`times-frac`

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

localize34.0ms (0.4%)

Memory

7.2MiB live, 82.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	6.120828390792916	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
accuracy	16.86264724089789	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Samples

16.0ms	187×	0	valid
8.0ms	61×	1	valid
1.0ms	8×	2	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (27.8% of total)

ival-sub: 4.0ms (27.8% of total)

ival-mult: 4.0ms (27.8% of total)

adjust: 2.0ms (13.9% of total)

ival-add: 2.0ms (13.9% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

-10.1MiB live, 25.6MiB 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 (/ 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 (/ (* 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 (/ (* 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 (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 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 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 (/ 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 (* -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) (+ 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 (* 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 (- 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 (- 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 (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 (* 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 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 (* 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 (* 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 (- 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 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 (* -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 (* -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 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 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 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>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(- 1 (/ (* (- 1 x) y) (+ y 1)))
1.0ms	x	@	inf	(- 1 (/ (* (- 1 x) y) (+ y 1)))
1.0ms	y	@	inf	(* (- 1 x) y)
1.0ms	x	@	0	(- 1 (/ (* (- 1 x) y) (+ y 1)))
0.0ms	y	@	inf	(- 1 (/ (* (- 1 x) y) (+ y 1)))

simplify242.0ms (2.8%)

Memory

6.7MiB live, 463.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 336×	`lower-fma.f64`
13 336×	`lower-fma.f32`
3 556×	`lower-+.f64`
3 556×	`lower-+.f32`
2 780×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	823
1	400	799
2	1127	684
3	4566	669
0	8319	648

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

Inputs
(- 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)))
(/ (* 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))
(* -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
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 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))))))
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 (+ 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 (/ (* 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) (+ 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)))))
(* 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 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))))))
(- 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
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))

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

rewrite251.0ms (2.9%)

Memory

12.8MiB live, 458.0MiB allocated

Rules

6 332×	`lower-fma.f64`
6 332×	`lower-fma.f32`
4 782×	`lower-*.f32`
4 780×	`lower-*.f64`
3 674×	`lower-/.f32`

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

eval114.0ms (1.3%)

Memory: 9.3MiB live, 168.3MiB allocated
Compiler: Compiled 13 697 to 1 626 computations (88.1% saved)

prune118.0ms (1.4%)

Memory

-45.3MiB live, 264.8MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	551	13	564
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	552	13	565

Accuracy

100.0%

Counts

565 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
	56.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) #s(literal 1 binary64))
▶	57.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 y y) y)) #s(literal 1 binary64))
	38.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
	26.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
	48.8%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (.f64 (-.f64 (.f64 y x) y) (+.f64 y #s(literal -1 binary64)))))
	52.4%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))
	48.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
	49.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
	52.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y)))
▶	52.4%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
▶	49.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
▶	37.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))

Compiler

Compiled 348 to 208 computations (40.2% saved)

simplify294.0ms (3.4%)

Memory

2.9MiB live, 314.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

14 218×	`lower-fma.f32`
14 210×	`lower-fma.f64`
2 878×	`lower-*.f32`
2 872×	`lower-*.f64`
1 636×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	182
0	49	180
1	89	180
2	211	180
3	754	180
4	3021	172
5	7927	172
0	8203	167

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.5%)

Memory

7.3MiB live, 249.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 y y) y)
accuracy	0.05078125	(.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 y y) y))
accuracy	0.3402028787485316	(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))
accuracy	26.706931912633497	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 y y) y)) #s(literal 1 binary64))
accuracy	0	(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
accuracy	32.49112400863473	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	0.01171875	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	30.473742588954206	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
accuracy	40.026494491926286	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	16.048561561087983	(/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64)))
accuracy	16.853699949288654	(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))

Samples

61.0ms	187×	0	valid
29.0ms	61×	1	valid
5.0ms	8×	2	valid

Compiler

Compiled 177 to 30 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 39.0ms (52.2% of total)

ival-div: 13.0ms (17.4% of total)

ival-add: 10.0ms (13.4% of total)

ival-sub: 6.0ms (8% of total)

adjust: 5.0ms (6.7% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory

-13.9MiB live, 68.6MiB allocated

Counts

19 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* (/ y (+ 1 y)) x)
3.0ms	x	@	inf	(+ (* (/ -1 (+ (* y y) -1)) (* (- 1 x) (- (* y y) y))) 1)
2.0ms	x	@	-inf	(+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1)
1.0ms	x	@	0	(+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1)
1.0ms	x	@	0	(+ (* (/ -1 (+ (* y y) -1)) (* (- 1 x) (- (* y y) y))) 1)

simplify342.0ms (3.9%)

Memory

-2.2MiB live, 476.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 486×	`lower-fma.f64`
16 486×	`lower-fma.f32`
4 272×	`lower-*.f64`
4 272×	`lower-*.f32`
4 268×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	4156
1	1282	3688
2	3818	3391
0	8300	3199

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 345

Calls

Call 1

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

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

rewrite277.0ms (3.2%)

Memory

19.4MiB live, 520.6MiB allocated

Rules

5 508×	`lower-*.f32`
5 502×	`lower-*.f64`
4 208×	`lower-/.f32`
4 200×	`lower-/.f64`
3 350×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157
0	49	157
1	227	157
2	2079	157
0	8419	156

Stop Event

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

Counts

19 → 414

Calls

Call 1

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

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

eval145.0ms (1.7%)

Memory: -3.8MiB live, 245.3MiB allocated
Compiler: Compiled 17 381 to 1 631 computations (90.6% saved)

prune121.0ms (1.4%)

Memory

29.5MiB live, 307.6MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	821	13	834
Fresh	3	5	8
Picked	3	2	5
Done	0	0	0
Total	827	20	847

Accuracy

100.0%

Counts

847 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) #s(literal 1 binary64))
	37.4%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64))
▶	38.3%	(fma.f64 #s(approx (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
	48.8%	(fma.f64 #s(approx (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (-.f64 (*.f64 y x) y)) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
	38.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
	26.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
	52.4%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))
▶	48.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)))
	49.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
	52.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) y)))
	52.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
✓	49.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
	14.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (.f64 y y))) x))
	52.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x (/.f64 x y)))))
	42.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y)))
▶	17.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)))
	37.1%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y))))
	15.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)))
✓	37.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
▶	37.3%	#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)

Compiler

Compiled 452 to 249 computations (44.9% saved)

simplify354.0ms (4.1%)

Memory

12.1MiB live, 320.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y #s(literal -1 binary64))
cost-diff	0	(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
cost-diff	0	(fma.f64 #s(approx (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
cost-diff	0	(-.f64 (*.f64 y y) y)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)))
cost-diff	0	#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 y (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
cost-diff	320	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) #s(literal 1 binary64))

Rules

13 192×	`lower-fma.f32`
13 180×	`lower-fma.f64`
3 766×	`lower-*.f32`
3 760×	`lower-*.f64`
3 080×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	240
0	62	237
1	111	234
2	269	234
3	1180	233
4	4073	228
0	8400	224

Stop Event

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

Calls

Call 1

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

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

localize298.0ms (3.4%)

Memory

-4.0MiB live, 203.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	14.724211647223916	(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
accuracy	16.853699949288654	(fma.f64 #s(approx (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
accuracy	28.657950499930152	#s(approx (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(-.f64 (*.f64 y y) y)
accuracy	0.0390625	(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64))
accuracy	32.736986458631876	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	30.473742588954206	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)))
accuracy	37.156678374124056	#s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))
accuracy	40.0994145689041	#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)
accuracy	0.0546875	(fma.f64 y (*.f64 y y) #s(literal 1 binary64))
accuracy	0.07421875	(.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
accuracy	0.08977105037545785	(/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
accuracy	27.71867825160245	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) #s(literal 1 binary64))

Samples

133.0ms	61×	1	valid
124.0ms	187×	0	valid
6.0ms	8×	2	valid

Compiler

Compiled 215 to 36 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 58.0ms (41.6% of total)

ival-add: 55.0ms (39.4% of total)

ival-div: 12.0ms (8.6% of total)

ival-sub: 7.0ms (5% of total)

adjust: 6.0ms (4.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory

-0.7MiB live, 38.2MiB allocated

Counts

18 → 324

Calls

Call 1

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

Calls

81 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(+ (* (/ -1 (+ (* y (* y y)) 1)) (* y (* (- 1 x) (- (+ (* y y) 1) y)))) 1)
1.0ms	x	@	inf	(+ (* (/ -1 (+ (* y (* y y)) 1)) (* y (* (- 1 x) (- (+ (* y y) 1) y)))) 1)
1.0ms	x	@	-inf	(+ (* (/ -1 (+ (* y (* y y)) 1)) (* y (* (- 1 x) (- (+ (* y y) 1) y)))) 1)
0.0ms	y	@	-inf	(+ (* (/ -1 (+ (* y (* y y)) 1)) (* y (* (- 1 x) (- (+ (* y y) 1) y)))) 1)
0.0ms	y	@	inf	(/ -1 (+ (* y (* y y)) 1))

simplify313.0ms (3.6%)

Memory

-41.8MiB live, 448.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 582×	`lower-fma.f64`
9 582×	`lower-fma.f32`
3 816×	`lower-+.f64`
3 816×	`lower-+.f32`
3 354×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	4428
1	1364	3960
2	4414	3460
0	8239	3269

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 316

Calls

Call 1

Inputs
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))))
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y)))) (/ x y))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) (pow y 3))) (/ 1 y))))) (/ x y))
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y))) y))))
(+ 1 (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3)))))
(+ 1 (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3)))) (/ (* x (* y (- (+ 1 (pow y 2)) y))) (+ 1 (pow y 3)))))
(+ 1 (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3)))) (/ (* x (* y (- (+ 1 (pow y 2)) y))) (+ 1 (pow y 3)))))
(+ 1 (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3)))) (/ (* x (* y (- (+ 1 (pow y 2)) y))) (+ 1 (pow y 3)))))
(/ (* x (* y (- (+ 1 (pow y 2)) y))) (+ 1 (pow y 3)))
(* x (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3))))))
(* x (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3))))))
(* x (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3))))))
(/ (* x (* y (- (+ 1 (pow y 2)) y))) (+ 1 (pow y 3)))
(* -1 (* x (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3))))) x)))))
(* -1 (* x (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3))))) x)))))
(* -1 (* x (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) (+ 1 (pow y 3))))) x)))))
-1
(- (pow y 3) 1)
(- (* (pow y 3) (+ 1 (* -1 (pow y 3)))) 1)
(- (* (pow y 3) (+ 1 (* (pow y 3) (- (pow y 3) 1)))) 1)
(/ -1 (pow y 3))
(/ (- (/ 1 (pow y 3)) 1) (pow y 3))
(/ (- (/ 1 (pow y 3)) (+ 1 (/ 1 (pow y 6)))) (pow y 3))
(/ (- (+ (/ 1 (pow y 3)) (/ 1 (pow y 9))) (+ 1 (/ 1 (pow y 6)))) (pow y 3))
(/ -1 (pow y 3))
(* -1 (/ (- 1 (/ 1 (pow y 3))) (pow y 3)))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow y 3))) (pow y 3)))) (pow y 3)))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow y 3))) (pow y 3)))) (pow y 3)))) (pow y 3)))
1
(+ 1 (pow y 3))
(+ 1 (pow y 3))
(+ 1 (pow y 3))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
1
(+ 1 (* -1 (* y (+ 1 (* -1 x)))))
(+ 1 (* y (+ (* -1 (+ 1 (* -1 x))) (* y (+ 1 (* -1 x))))))
(+ 1 (* y (+ (* -1 (+ 1 (* -1 x))) (* y (+ 1 (+ (* -1 x) (* -1 (* y (+ 1 (* -1 x))))))))))
(+ 1 (* -1 (+ 1 (* -1 x))))
(+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (/ 1 y))))
(+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y)))))
(- (+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3))))))) (+ (* -1 (/ x (pow y 2))) (/ 1 (pow y 2))))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)))
(+ x (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) 1) y)))
(+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1)))
(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1))))
(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1))))
(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1))))
(* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1)))
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1))))))
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1))))))
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1))))))
(* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1)))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1)))))
(- 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)))
(/ (* 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))
(* -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
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 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))))))
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 y)
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(/ (- 1 x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- (+ 1 (* x y)) x) y)
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (/ 1 y)) (/ x y))
x
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(/ (+ 1 (* -1 x)) y)
(/ (+ 1 (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ 1 (pow y 2))))) y)
(/ (- (+ 1 (+ (* -1 x) (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 4))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) y)
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Outputs
1
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(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
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(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
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1
#s(literal 1 binary64)
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1
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(* -1 (* x (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) x)) (* y (- (+ 1 (pow y 2)) y)))))
(.f64 x (.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 (/.f64 y x) y)))
(* -1 (* x (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) x)) (* y (- (+ 1 (pow y 2)) y)))))
(.f64 x (.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 (/.f64 y x) y)))
(* -1 (* x (+ (* -1 (/ (* y (- (+ 1 (pow y 2)) y)) x)) (* y (- (+ 1 (pow y 2)) y)))))
(.f64 x (.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 (/.f64 y x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

rewrite260.0ms (3%)

Memory

27.6MiB live, 508.4MiB allocated

Rules

5 428×	`lower-*.f32`
5 422×	`lower-*.f64`
4 042×	`lower-fma.f32`
4 030×	`lower-fma.f64`
3 384×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	201
0	62	198
1	291	195
2	2700	195
0	8143	193

Stop Event

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

Counts

18 → 271

Calls

Call 1

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

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

eval81.0ms (0.9%)

Memory: -8.8MiB live, 222.6MiB allocated
Compiler: Compiled 13 994 to 1 104 computations (92.1% saved)

prune134.0ms (1.5%)

Memory

-1.6MiB live, 240.4MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	639	1	640
Fresh	0	13	13
Picked	1	4	5
Done	0	2	2
Total	640	20	660

Accuracy

100.0%

Counts

660 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) #s(approx ( y (* (- 1 x) (- (+ (* y y) 1) y))) (*.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) #s(literal 1 binary64))
▶	37.4%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64))
✓	38.3%	(fma.f64 #s(approx (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
	48.8%	(fma.f64 #s(approx (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (-.f64 (*.f64 y x) y)) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
▶	38.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
	26.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
	52.4%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))
✓	48.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)))
	49.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	52.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) y)))
	52.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
✓	49.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
▶	14.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (.f64 y y))) x))
	52.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x (/.f64 x y)))))
	42.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y)))
✓	17.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)))
	37.1%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y))))
▶	15.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)))
✓	37.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
✓	37.3%	#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)

Compiler

Compiled 408 to 224 computations (45.1% saved)

simplify199.0ms (2.3%)

Memory

6.2MiB live, 359.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y))
cost-diff	0	(fma.f64 y y #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
cost-diff	0	(-.f64 y (*.f64 y y))
cost-diff	0	#s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y)))
cost-diff	0	(.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (.f64 y y))) x)
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (.f64 y y))) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)))
cost-diff	0	(-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
cost-diff	0	(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) y)
cost-diff	0	(-.f64 x (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) y))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) y)))

Rules

9 930×	`lower-fma.f32`
9 926×	`lower-fma.f64`
2 320×	`lower-*.f32`
2 314×	`lower-*.f64`
2 260×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	323
0	63	323
1	111	323
2	212	323
3	486	322
4	1468	322
5	5198	322
6	7788	322
0	8060	319

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

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

localize157.0ms (1.8%)

Memory

2.3MiB live, 281.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 y y) y)
accuracy	0.3402028787485316	(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))
accuracy	24.97299672860911	#s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y))
accuracy	26.706931912633497	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64))
accuracy	0	(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	16.86264724089789	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
accuracy	28.72739357710594	#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
accuracy	0.00390625	(-.f64 y (*.f64 y y))
accuracy	0.01171875	(.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (.f64 y y))) x)
accuracy	32.49112400863473	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (.f64 y y))) x))
accuracy	32.952289750510026	#s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y)))
accuracy	0	(*.f64 y x)
accuracy	31.936801137517353	#s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))
accuracy	32.49112400863473	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)))
accuracy	0.01171875	(-.f64 x (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) y))
accuracy	0.04296875	(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) y)
accuracy	0.05859375	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)
accuracy	30.291028487785532	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) y)))

Samples

46.0ms	61×	1	valid
38.0ms	187×	0	valid
5.0ms	8×	2	valid

Compiler

Compiled 243 to 31 computations (87.2% saved)

Precisions

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

ival-div: 12.0ms (25% of total)

ival-add: 10.0ms (20.9% of total)

ival-mult: 10.0ms (20.9% of total)

ival-sub: 9.0ms (18.8% of total)

adjust: 7.0ms (14.6% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

24.5MiB live, 62.7MiB allocated

Counts

21 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- x (/ (- (+ -1 x) (/ (+ -1 (+ x (/ (- 1 x) y))) y)) y))
1.0ms	x	@	inf	(- x (/ (- (+ -1 x) (/ (+ -1 (+ x (/ (- 1 x) y))) y)) y))
1.0ms	y	@	inf	(- x (/ (- (+ -1 x) (/ (+ -1 (+ x (/ (- 1 x) y))) y)) y))
0.0ms	x	@	0	(/ (- (+ -1 x) (/ (+ -1 (+ x (/ (- 1 x) y))) y)) y)
0.0ms	x	@	inf	(/ (- (+ -1 x) (/ (+ -1 (+ x (/ (- 1 x) y))) y)) y)

simplify322.0ms (3.7%)

Memory

-15.7MiB live, 494.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 098×	`lower-fma.f64`
14 098×	`lower-fma.f32`
5 436×	`lower-+.f64`
5 436×	`lower-+.f32`
4 230×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	373	5576
1	1170	4979
2	3676	4816
0	8299	4638

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 401

Calls

Call 1

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

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

rewrite283.0ms (3.2%)

Memory

10.4MiB live, 488.1MiB allocated

Rules

5 438×	`lower-/.f32`
5 428×	`lower-/.f64`
3 528×	`lower-*.f32`
3 522×	`lower-*.f64`
2 828×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	277
0	63	277
1	287	277
2	2642	277
0	8365	277

Stop Event

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

Counts

21 → 497

Calls

Call 1

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

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

eval119.0ms (1.4%)

Memory: 2.5MiB live, 231.8MiB allocated
Compiler: Compiled 23 713 to 1 994 computations (91.6% saved)

prune382.0ms (4.4%)

Memory

-109.2MiB live, 266.1MiB allocated

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	892	6	898
Fresh	4	5	9
Picked	1	4	5
Done	0	6	6
Total	897	21	918

Accuracy

100.0%

Counts

918 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.4%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64))
✓	38.3%	(fma.f64 #s(approx (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
✓	38.0%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
	3.2%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64))))
✓	48.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)))
	49.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
	43.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (.f64 y y)) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (.f64 y y)))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 y y))))))
	52.4%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y)))
	52.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- (+ -1 x) (/ (+ -1 (+ x (/ (- 1 x) y))) y)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) #s(literal -1 binary64))) y)))
	52.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
✓	49.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
✓	14.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (.f64 y y))) x))
	14.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (.f64 #s(approx (/ y (+ 1 y)) (.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64)) y)) x))
	10.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- (+ -1 x) (/ (+ -1 (+ x (/ (- 1 x) y))) y)) y)) (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y y (neg.f64 y)) #s(literal 1 binary64)) x) (.f64 y (.f64 y y)))))
	52.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x (/.f64 x y)))))
	42.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y)))
✓	17.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)))
	37.1%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y))))
✓	15.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)))
✓	37.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
✓	37.3%	#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)

Compiler

Compiled 722 to 241 computations (66.6% saved)

regimes52.0ms (0.6%)

Memory

-24.7MiB live, 93.1MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

Calls

5 calls:

11.0ms	x
10.0ms	(-.f64 #s(literal 1 binary64) x)
10.0ms	y
9.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
9.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
70.7%	4	`x`
100.0%	3	`y`
99.7%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.7%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
70.7%	4	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes11.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-18.9MiB live, 19.9MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-24.7MiB live, 18.0MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-28.7MiB live, 9.4MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-14.9MiB live, 23.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.8%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
76.8%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
83.7%	3	`y`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes4.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
83.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

5 → 4

Calls

Call 1

Inputs
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.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 (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 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
73.7%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
73.7%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
71.2%	3	`y`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes10.0ms (0.1%)

Memory

-22.1MiB live, 15.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

3 calls:

6.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
2.0ms	y
2.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
71.2%	3	`y`
71.1%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
71.1%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes7.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
37.3%	1	`x`
37.3%	1	`(-.f64 #s(literal 1 binary64) x)`
37.3%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
37.3%	1	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
37.3%	1	`y`

Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch35.0ms (0.4%)

Memory

3.6MiB live, 45.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	111.15303354615206	116102.6067155848
21.0ms	-7982582.512196257	-2.6480998150238407e-18

Samples

15.0ms

304×

valid

Compiler

Compiled 700 to 431 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (34.3% of total)

ival-div: 2.0ms (22.9% of total)

ival-mult: 2.0ms (22.9% of total)

ival-add: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

4.3MiB live, 41.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	116102.6067155848	4007509731.5350122
16.0ms	-7982582.512196257	-2.6480998150238407e-18

Samples

17.0ms

240×

valid

Compiler

Compiled 730 to 450 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (28.8% of total)

ival-sub: 2.0ms (28.8% of total)

ival-mult: 2.0ms (28.8% of total)

ival-add: 1.0ms (14.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Memory

-21.3MiB live, 17.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	116102.6067155848	4007509731.5350122
12.0ms	-7982582.512196257	-2.6480998150238407e-18

Samples

5.0ms

96×

valid

Compiler

Compiled 719 to 450 computations (37.4% saved)

Precisions

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

ival-div: 1.0ms (35.4% of total)

ival-sub: 1.0ms (35.4% of total)

ival-mult: 1.0ms (35.4% 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)

bsearch6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	116102.6067155848	4007509731.5350122
1.0ms	-7982582.512196257	-2.6480998150238407e-18

Samples

2.0ms

48×

valid

Compiler

Compiled 681 to 431 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	116102.6067155848	4007509731.5350122
5.0ms	-7982582.512196257	-2.6480998150238407e-18

Samples

3.0ms

64×

valid

Compiler

Compiled 605 to 393 computations (35% saved)

Precisions

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

ival-sub: 1.0ms (48.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch61.0ms (0.7%)

Memory

-9.6MiB live, 28.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	116102.6067155848	4007509731.5350122
51.0ms	-261528628133499.88	-7982582.512196257

Samples

11.0ms	233×	0	valid
1.0ms	7×	1	valid

Compiler

Compiled 441 to 285 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (28.2% of total)

ival-mult: 2.0ms (28.2% of total)

ival-sub: 2.0ms (28.2% of total)

ival-add: 1.0ms (14.1% 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)

bsearch38.0ms (0.4%)

Memory

7.7MiB live, 58.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.3504327014530136e-14	111.15303354615206
21.0ms	-7982582.512196257	-2.6480998150238407e-18

Samples

23.0ms

304×

valid

Compiler

Compiled 562 to 370 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (34.1% of total)

ival-div: 2.0ms (22.7% of total)

ival-mult: 2.0ms (22.7% of total)

ival-add: 1.0ms (11.4% 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%)

Memory

-33.3MiB live, 6.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3504327014530136e-14	111.15303354615206
3.0ms	-7982582.512196257	-2.6480998150238407e-18

Compiler

Compiled 541 to 328 computations (39.4% saved)

bsearch2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3504327014530136e-14	111.15303354615206
1.0ms	-7982582.512196257	-2.6480998150238407e-18

Compiler

Compiled 457 to 307 computations (32.8% saved)

bsearch6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.3504327014530136e-14	111.15303354615206
1.0ms	-7982582.512196257	-2.6480998150238407e-18

Samples

2.0ms

48×

valid

Compiler

Compiled 436 to 286 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3504327014530136e-14	111.15303354615206
1.0ms	-7982582.512196257	-2.6480998150238407e-18

Compiler

Compiled 436 to 265 computations (39.2% saved)

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3504327014530136e-14	111.15303354615206
1.0ms	-7982582.512196257	-2.6480998150238407e-18

Compiler

Compiled 331 to 223 computations (32.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	8.244848068218068e-16	0.39820604673260435
0.0ms	-18587407588878348.0	-0.3732743493457559
0.0ms	-8.137971447655504e+206	-1.45863855882562e+189

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch9.0ms (0.1%)

Memory

-21.2MiB live, 18.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.659409257526884e-15	7.026579593944485e-15
1.0ms	-7982582.512196257	-2.6480998150238407e-18

Samples

5.0ms

80×

valid

Compiler

Compiled 176 to 125 computations (29% saved)

Precisions

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

ival-div: 1.0ms (41% of total)

ival-sub: 1.0ms (41% of total)

ival-mult: 1.0ms (41% 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)

simplify56.0ms (0.6%)

Memory

0.7MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Rules

388×	`unsub-neg_binary64`
298×	`distribute-lft-neg-in_binary64`
248×	`neg-mul-1_binary64`
162×	`neg-sub0_binary64`
138×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	1046
1	189	1046
2	227	1046
3	261	1046
4	293	1046
5	329	1046
6	382	1046
7	440	1046
8	549	1046
9	703	1046
10	850	1046
11	1033	1046
12	1186	1046
13	1295	1046
14	1335	1046
15	1346	1046
16	1347	1046

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -12500 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) (if (<=.f64 y #s(literal 14200 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 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y)))))
(if (<=.f64 y #s(literal -3050000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- (+ -1 x) (/ (+ -1 (+ x (/ (- 1 x) y))) y)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) #s(literal -1 binary64))) y))) (if (<=.f64 y #s(literal 320000 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 y y) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y)))))
(if (<=.f64 y #s(literal -300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y))) (if (<=.f64 y #s(literal 320000 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 y y) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y)))))
(if (<=.f64 y #s(literal -300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y))) (if (<=.f64 y #s(literal 240000 binary64)) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y)))))
(if (<=.f64 y #s(literal -270000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y))) (if (<=.f64 y #s(literal 360000 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 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y)))))
(if (<=.f64 y #s(literal -120000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 22000000 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 #s(literal 1 binary64) x) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (.f64 (-.f64 (.f64 y x) y) (+.f64 y #s(literal -1 binary64))))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 y y) y) #s(literal 1 binary64))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -500000000000000019446788775544194215653686246476010066671511910038456471446924483815399828039388506936632301559706066456765853057047187808270091836106344701772172931313084717722832279038279731096611203317760 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000000000000 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (.f64 y x))) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 y #s(literal 4436777100798803/633825300114114700748351602688 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)))
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)

Outputs
(if (<=.f64 y #s(literal -12500 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) (if (<=.f64 y #s(literal 14200 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 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y)))))
(if (<=.f64 y #s(literal -12500 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y))) (if (<=.f64 y #s(literal 14200 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y)))))
(if (<=.f64 y #s(literal -3050000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- (+ -1 x) (/ (+ -1 (+ x (/ (- 1 x) y))) y)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) #s(literal -1 binary64))) y))) (if (<=.f64 y #s(literal 320000 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 y y) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y)))))
(if (<=.f64 y #s(literal -3050000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- (+ -1 x) (/ (+ -1 (+ x (/ (- 1 x) y))) y)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y))) (if (<=.f64 y #s(literal 320000 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 y (.f64 y y))) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) x) y)))))
(if (<=.f64 y #s(literal -300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y))) (if (<=.f64 y #s(literal 320000 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 y y) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y)))))
(if (<=.f64 y #s(literal -300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) x) y))) (if (<=.f64 y #s(literal 320000 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 y (.f64 y y))) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) x) y)))))
(if (<=.f64 y #s(literal -300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y))) (if (<=.f64 y #s(literal 240000 binary64)) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y)))))
(if (<=.f64 y #s(literal -300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) x) y))) (if (<=.f64 y #s(literal 240000 binary64)) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) x) y)))))
(if (<=.f64 y #s(literal -270000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y))) (if (<=.f64 y #s(literal 360000 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 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y)))))
(if (<=.f64 y #s(literal -270000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) x) y))) (if (<=.f64 y #s(literal 360000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) x) y)))))
(if (<=.f64 y #s(literal -120000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 22000000 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 #s(literal 1 binary64) x) y)))))
(if (<=.f64 y #s(literal -120000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 22000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (.f64 (-.f64 (.f64 y x) y) (+.f64 y #s(literal -1 binary64))))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 y y) y) #s(literal 1 binary64))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -500000000000000019446788775544194215653686246476010066671511910038456471446924483815399828039388506936632301559706066456765853057047187808270091836106344701772172931313084717722832279038279731096611203317760 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000000000000 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (.f64 y x))) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x))))
(if (<=.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal -500000000000000019446788775544194215653686246476010066671511910038456471446924483815399828039388506936632301559706066456765853057047187808270091836106344701772172931313084717722832279038279731096611203317760 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000000000000 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (.f64 y x))) (if (<=.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 y #s(literal 4436777100798803/633825300114114700748351602688 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)))
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)

soundness1.5s (17.6%)

Memory

-15.1MiB live, 833.0MiB allocated

Rules

16 486×	`lower-fma.f64`
16 486×	`lower-fma.f32`
14 098×	`lower-fma.f64`
14 098×	`lower-fma.f32`
13 336×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	373	5576
1	1170	4979
2	3676	4816
0	8299	4638
0	127	823
1	400	799
2	1127	684
3	4566	669
0	8319	648
0	8	31
0	13	31
1	63	31
2	533	31
0	8517	30
0	387	4156
1	1282	3688
2	3818	3391
0	8300	3199

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 792 to 289 computations (63.5% saved)

preprocess185.0ms (2.1%)

Memory: 21.4MiB live, 176.1MiB allocated
Compiler: Compiled 1 186 to 278 computations (76.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze48.0ms (0.6%)

sample1.0s (11.9%)

explain156.0ms (1.8%)

preprocess176.0ms (2%)

eval0.0ms (0%)

prune4.0ms (0.1%)

simplify63.0ms (0.7%)

localize34.0ms (0.4%)

series12.0ms (0.1%)

simplify242.0ms (2.8%)

rewrite251.0ms (2.9%)

eval114.0ms (1.3%)

prune118.0ms (1.4%)

simplify294.0ms (3.4%)

localize132.0ms (1.5%)

series35.0ms (0.4%)

simplify342.0ms (3.9%)

rewrite277.0ms (3.2%)

eval145.0ms (1.7%)

prune121.0ms (1.4%)

simplify354.0ms (4.1%)

localize298.0ms (3.4%)

series41.0ms (0.5%)

simplify313.0ms (3.6%)

rewrite260.0ms (3%)

eval81.0ms (0.9%)

prune134.0ms (1.5%)

simplify199.0ms (2.3%)

localize157.0ms (1.8%)

series26.0ms (0.3%)

simplify322.0ms (3.7%)

rewrite283.0ms (3.2%)

eval119.0ms (1.4%)

prune382.0ms (4.4%)

regimes52.0ms (0.6%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch35.0ms (0.4%)

bsearch29.0ms (0.3%)

bsearch14.0ms (0.2%)

bsearch6.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch61.0ms (0.7%)

bsearch38.0ms (0.4%)

bsearch4.0ms (0%)

bsearch2.0ms (0%)

bsearch6.0ms (0.1%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

simplify56.0ms (0.6%)

soundness1.5s (17.6%)

preprocess185.0ms (2.1%)

end0.0ms (0%)

Profiling