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

analyze13.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.2s (11.7%)

Memory

22.3MiB live, 1 196.0MiB allocated

Samples

488.0ms	6 335×	0	valid
356.0ms	1 625×	1	valid
66.0ms	296×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 662.0ms

ival-div: 193.0ms (29.1% of total)

ival-mult: 170.0ms (25.7% of total)

ival-sub: 109.0ms (16.5% of total)

ival-add: 97.0ms (14.6% of total)

adjust: 81.0ms (12.2% of total)

ival-true: 5.0ms (0.8% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess212.0ms (2%)

Memory

-27.5MiB live, 116.0MiB 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))

explain140.0ms (1.3%)

Memory

-9.9MiB live, 147.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
67	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
33	-	-	`(/.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	67	1
`/.f64`	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`	o/n	33	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`	overflow	33

Confusion

	Predicted +	Predicted -
+	100	0
-	0	156

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	100	0	0
-	0	1	155

Precision?

0.9900990099009901

Recall?

1.0

Freqs

test

number	freq
0	156
1	100

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms	392×	0	valid
15.0ms	108×	1	valid
2.0ms	12×	2	valid

Compiler

Compiled 98 to 36 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sub: 6.0ms (27.7% of total)

ival-div: 4.0ms (18.5% of total)

ival-mult: 4.0ms (18.5% of total)

adjust: 3.0ms (13.8% of total)

ival-add: 3.0ms (13.8% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.0%	(-.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)

simplify58.0ms (0.6%)

Memory

18.3MiB live, 95.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize35.0ms (0.3%)

Memory

4.2MiB live, 85.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	88.0%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	77.1%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Samples

16.0ms	196×	0	valid
8.0ms	54×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 5.0ms (33.7% of total)

ival-sub: 5.0ms (33.7% of total)

ival-mult: 2.0ms (13.5% of total)

adjust: 1.0ms (6.7% of total)

ival-add: 1.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

-15.3MiB live, 24.1MiB 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
1.0ms	y	@	0	(* (- 1 x) y)
1.0ms	y	@	inf	(* (- 1 x) y)
1.0ms	x	@	inf	(- 1 (/ (* (- 1 x) y) (+ y 1)))
1.0ms	x	@	0	(- 1 (/ (* (- 1 x) y) (+ y 1)))
1.0ms	y	@	0	(- 1 (/ (* (- 1 x) y) (+ y 1)))

simplify329.0ms (3.1%)

Memory

26.0MiB live, 547.0MiB 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)

rewrite329.0ms (3.1%)

Memory

5.9MiB live, 559.1MiB allocated

Algorithm

1×	batch-egg-rewrite

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))

eval73.0ms (0.7%)

Memory: -13.0MiB live, 173.9MiB allocated
Compiler: Compiled 13 697 to 1 626 computations (88.1% saved)

prune101.0ms (1%)

Memory

19.2MiB live, 251.8MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	545	19	564
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	546	19	565

Accuracy

99.9%

Counts

565 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.6%	(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))
	61.1%	(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))
	76.9%	(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
	41.9%	(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (fma.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 #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))) (fma.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 (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 (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)))))))))
	41.9%	(/.f64 (-.f64 (.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 #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 (.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 (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 (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)))))))
▶	52.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (.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)))
	45.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))
▶	77.0%	(/.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))))
	42.1%	(-.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))))))
	37.4%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
	29.8%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
	42.1%	(.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 #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 (-.f64 #s(literal -1 binary64) y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))))
▶	53.1%	#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))
▶	47.0%	#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)))
	47.4%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
	53.5%	#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)))
	52.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
	53.1%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
▶	35.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))

Compiler

Compiled 1 894 to 450 computations (76.2% saved)

simplify239.0ms (2.3%)

Memory

-3.5MiB live, 411.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y (neg.f64 x) y)
✓	cost-diff	0	(.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (.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)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	cost-diff	0	(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
✓	cost-diff	0	#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))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 y (*.f64 y x))
✓	cost-diff	0	(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	#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)))
✓	cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
✓	cost-diff	0	(/.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)))
✓	cost-diff	1408	(/.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))))

Rules

9 898×	`lower-fma.f32`
9 888×	`lower-fma.f64`
3 104×	`lower-*.f32`
3 098×	`lower-*.f64`
2 028×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	291
0	67	287
1	143	287
2	342	284
3	1257	284
4	5558	284
0	8356	282

Stop Event

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

Calls

Call 1

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

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

localize287.0ms (2.7%)

Memory

-48.3MiB live, 291.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.2%	(.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))
✓	accuracy	82.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (.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)))
✓	accuracy	77.1%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))
✓	accuracy	72.7%	(/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	99.8%	(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
✓	accuracy	53.1%	#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))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	47.0%	#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)))
✓	accuracy	35.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) y)
✓	accuracy	99.9%	(/.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)))
✓	accuracy	99.8%	(/.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))))
✓	accuracy	77.1%	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))

Samples

106.0ms	195×	0	valid
48.0ms	55×	1	valid
5.0ms	6×	2	valid

Compiler

Compiled 282 to 40 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-sub: 52.0ms (38.1% of total)

ival-add: 45.0ms (32.9% of total)

ival-div: 17.0ms (12.4% of total)

ival-mult: 15.0ms (11% of total)

adjust: 6.0ms (4.4% 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)

series78.0ms (0.7%)

Memory

17.1MiB live, 93.0MiB allocated

Counts

20 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
23.0ms	y	@	0	(- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y)))))
3.0ms	y	@	inf	(/ (+ x -1) y)
2.0ms	y	@	inf	(/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1))
1.0ms	y	@	0	(+ (* (- y (* y x)) (+ y -1)) 1)
1.0ms	y	@	-inf	(/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1))

simplify651.0ms (6.2%)

Memory

-3.0MiB live, 630.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 196×	`lower-fma.f64`
9 196×	`lower-fma.f32`
5 642×	`lower-+.f64`
5 642×	`lower-+.f32`
4 744×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	904	8184
1	3131	7578
0	8759	7374

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 418

Calls

Call 1

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

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

rewrite488.0ms (4.7%)

Memory

24.2MiB live, 690.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 530×	`lower-/.f32`
4 514×	`lower-/.f64`
3 090×	`lower-*.f32`
3 084×	`lower-*.f64`
3 004×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	232
0	67	200
1	352	185
2	3590	185
0	9038	185

Stop Event

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

Counts

20 → 1 027

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 x y)) (-.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 (-.f64 y (*.f64 x y)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(+.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 (-.f64 y (.f64 x y)) (-.f64 y (.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))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 y (*.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(exp.f64 (.f64 (log1p.f64 (/.f64 (-.f64 y (.f64 x y)) (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 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 (-.f64 y (.f64 x y)) (-.f64 y (.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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 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 (.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 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 (.f64 (-.f64 y (.f64 x y)) (/.f64 (-.f64 y (.f64 x y)) (.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))) (/.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))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 x 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 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (-.f64 y (.f64 x y)) (-.f64 y (.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))
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(/.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 y y)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (neg.f64 y) (neg.f64 y))))
(/.f64 (.f64 (fma.f64 x y y) (-.f64 y (.f64 x y))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 x y y)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 y (-.f64 y (.f64 x (neg.f64 y))) (.f64 x (.f64 (.f64 y y) x))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 y y)) #s(literal 1 binary64)) (.f64 (fma.f64 x (neg.f64 y) (neg.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (.f64 (.f64 (fma.f64 x y y) (-.f64 y (.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 x y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y)))) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 y (.f64 x (neg.f64 y))) (.f64 x (.f64 (.f64 y y) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y)))) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 y y))) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (neg.f64 y) (neg.f64 y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y y) (-.f64 y (.f64 x y)))) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 x y y))))
(/.f64 (.f64 (-.f64 y (.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 y (-.f64 y (.f64 x (neg.f64 y))) (.f64 x (.f64 (.f64 y y) x))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 x (neg.f64 y) (neg.f64 y)))
(/.f64 (.f64 (.f64 (fma.f64 x y y) (-.f64 y (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 x y y))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 y (-.f64 y (.f64 x (neg.f64 y))) (.f64 x (.f64 (.f64 y y) x))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 y y)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (neg.f64 y) (neg.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x y y) (-.f64 y (.f64 x y))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)))) (neg.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 y (.f64 x y)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (neg.f64 (fma.f64 y (-.f64 y (.f64 x (neg.f64 y))) (.f64 x (.f64 (.f64 y y) x)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (neg.f64 (fma.f64 x (neg.f64 y) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x y y) (-.f64 y (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (neg.f64 (fma.f64 x y y)))
(pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (-.f64 y (.f64 x y))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 y (.f64 x y))) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (-.f64 y (.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 x y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))
(.f64 (-.f64 y (.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (-.f64 y (*.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 x (neg.f64 y))) (.f64 x (.f64 (.f64 y y) x)))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y)) (-.f64 y (.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (fma.f64 x y y) (.f64 y y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (-.f64 (.f64 x (.f64 (.f64 y y) x)) (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (neg.f64 y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 x y y) (-.f64 y (.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))

eval377.0ms (3.6%)

Memory: -97.2MiB live, 492.7MiB allocated
Compiler: Compiled 57 424 to 3 992 computations (93% saved)

prune239.0ms (2.3%)

Memory

9.7MiB live, 481.4MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1 561	8	1 569
Fresh	10	4	14
Picked	4	1	5
Done	0	0	0
Total	1 575	13	1 588

Accuracy

100.0%

Counts

1 588 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.1%	(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))
▶	77.1%	(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	48.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- 1 x) (/ y (- -1 y))) 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	37.4%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
▶	29.8%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
▶	47.4%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	46.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
	32.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) x)))
	52.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
	53.1%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
	35.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
	13.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (*.f64 x (fma.f64 y (neg.f64 y) y))))
✓	35.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))

Compiler

Compiled 334 to 179 computations (46.4% saved)

simplify272.0ms (2.6%)

Memory

-0.4MiB live, 364.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

11 874×	`lower-fma.f32`
11 868×	`lower-fma.f64`
4 374×	`lower-*.f32`
4 372×	`lower-*.f64`
2 032×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	220
0	60	218
1	129	218
2	282	217
3	943	217
4	4493	217
0	8315	214

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (1.2%)

Memory

10.6MiB live, 163.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y (+.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	77.1%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
✓	accuracy	52.6%	#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fma.f64 #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	49.2%	#s(approx (- y (* y x)) (*.f64 y (neg.f64 x)))
✓	accuracy	47.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	47.4%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	77.1%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	53.3%	#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 y (-.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) y)
✓	accuracy	77.1%	(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Samples

50.0ms	196×	0	valid
25.0ms	54×	1	valid
8.0ms	6×	2	valid

Compiler

Compiled 172 to 35 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 21.0ms (32.2% of total)

ival-div: 14.0ms (21.4% of total)

ival-add: 12.0ms (18.4% of total)

ival-sub: 11.0ms (16.8% of total)

adjust: 5.0ms (7.7% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory

-3.0MiB live, 34.7MiB allocated

Counts

18 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(/ (* (- 1 x) y) (+ y 1))
0.0ms	y	@	inf	(/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1))
0.0ms	x	@	-inf	(+ (* y (+ x -1)) 1)
0.0ms	y	@	inf	(+ (* y (+ x -1)) 1)
0.0ms	y	@	-inf	(+ (* y (+ x -1)) 1)

simplify391.0ms (3.7%)

Memory

-1.7MiB live, 478.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 458×	`lower-fma.f64`
7 458×	`lower-fma.f32`
4 124×	`lower-+.f64`
4 124×	`lower-+.f32`
3 564×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	516	5393
1	1787	4920
2	6534	4870
0	8362	4709

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 336

Calls

Call 1

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

rewrite301.0ms (2.9%)

Memory

-19.6MiB live, 420.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 758×	`lower-/.f32`
4 754×	`lower-/.f64`
2 780×	`lower-fma.f32`
2 774×	`lower-fma.f64`
2 640×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	198
0	60	194
1	323	172
2	3166	172
0	8485	172

Stop Event

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

Counts

18 → 464

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 (-.f64 y (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal 1 binary64))))
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(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal 1 binary64)))
(-.f64 y #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (neg.f64 (+.f64 y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 #s(literal 1 binary64) (neg.f64 y))))) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 #s(literal 1 binary64) (neg.f64 y))))))
(-.f64 (/.f64 (.f64 y (.f64 y y)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 #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 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 y (*.f64 y y) #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)) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 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)) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (neg.f64 (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 y (.f64 y y)) #s(literal -1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 #s(literal 1 binary64) (neg.f64 y)))))
(/.f64 (.f64 #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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.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)) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 y #s(literal -1 binary64)))))
(/.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 (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (.f64 y y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 #s(literal 1 binary64) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 y y)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #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 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #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 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.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 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))

eval151.0ms (1.4%)

Memory: 38.8MiB live, 224.0MiB allocated
Compiler: Compiled 19 519 to 1 673 computations (91.4% saved)

prune168.0ms (1.6%)

Memory

4.1MiB live, 319.1MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	831	4	835
Fresh	0	7	7
Picked	0	5	5
Done	0	1	1
Total	831	17	848

Accuracy

100.0%

Counts

848 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.1%	(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))
✓	77.1%	(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	48.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- 1 x) (/ y (- -1 y))) 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	37.4%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
✓	29.8%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
	3.1%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64))))
	51.9%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) (neg.f64 x))))
✓	47.4%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	35.2%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)))
▶	14.5%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x)))
✓	46.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
	32.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) x)))
▶	52.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
	53.1%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
▶	35.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
	13.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (*.f64 x (fma.f64 y (neg.f64 y) y))))
✓	35.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))

Compiler

Compiled 340 to 178 computations (47.6% saved)

simplify370.0ms (3.5%)

Memory

-30.9MiB live, 527.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

10 898×	`lower-fma.f32`
10 890×	`lower-fma.f64`
2 938×	`lower-*.f32`
2 936×	`lower-*.f64`
2 264×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	262
0	65	262
1	145	262
2	345	262
3	1293	262
4	5801	258
0	8651	245

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

localize170.0ms (1.6%)

Memory

7.9MiB live, 268.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	accuracy	52.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	accuracy	100.0%	(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	66.1%	#s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	47.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	47.4%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x)))
✓	accuracy	39.6%	#s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	60.7%	#s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	47.4%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	76.9%	(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))
✓	accuracy	72.7%	(/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64)))

Samples

66.0ms	54×	1	valid
59.0ms	196×	0	valid
5.0ms	6×	2	valid

Compiler

Compiled 210 to 41 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 30.0ms (40.5% of total)

ival-add: 15.0ms (20.2% of total)

ival-div: 12.0ms (16.2% of total)

ival-sub: 10.0ms (13.5% of total)

adjust: 6.0ms (8.1% 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)

series38.0ms (0.4%)

Memory

7.2MiB live, 45.7MiB allocated

Counts

18 → 372

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

Calls

93 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	(/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1))
1.0ms	x	@	0	(+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1)
1.0ms	x	@	-inf	(+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1)
1.0ms	x	@	inf	(+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1)
0.0ms	y	@	inf	(+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1)

simplify446.0ms (4.3%)

Memory

10.9MiB live, 603.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 954×	`lower-fma.f64`
7 954×	`lower-fma.f32`
4 780×	`lower-+.f64`
4 780×	`lower-+.f32`
4 064×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	566	7463
1	1940	6995
2	7095	6990
0	8185	6744

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 360

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

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

rewrite320.0ms (3.1%)

Memory

-4.9MiB live, 425.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 590×	`lower-/.f32`
4 586×	`lower-/.f64`
3 344×	`lower-fma.f32`
3 336×	`lower-fma.f64`
3 148×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	241
0	65	237
1	352	197
2	3708	197
0	8916	191

Stop Event

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

Counts

18 → 345

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

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

eval161.0ms (1.5%)

Memory: -6.3MiB live, 156.6MiB allocated
Compiler: Compiled 17 803 to 1 432 computations (92% saved)

prune201.0ms (1.9%)

Memory

14.9MiB live, 251.3MiB allocated

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	737	7	744
Fresh	2	4	6
Picked	1	4	5
Done	1	5	6
Total	741	20	761

Accuracy

100.0%

Counts

761 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.5%	(fma.f64 (/.f64 #s(approx (+ (* y (neg x)) y) (*.f64 y (neg.f64 x))) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
✓	77.1%	(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	48.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- 1 x) (/ y (- -1 y))) 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	37.4%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
	3.1%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64))))
✓	47.4%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	35.2%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)))
✓	14.5%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x)))
	3.2%	#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y))))
✓	46.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (- y (* y x)) (*.f64 y (neg.f64 x))) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
	32.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
✓	52.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
	53.1%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y)))
	41.4%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (+ x -1) y) (/.f64 x y))))
	53.1%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
	14.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (+ x -1) y)) (/.f64 #s(literal 1 binary64) y)))
✓	35.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
	13.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (*.f64 x (fma.f64 y (neg.f64 y) y))))
✓	35.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
	41.5%	#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))

Compiler

Compiled 1 316 to 233 computations (82.3% saved)

regimes110.0ms (1.1%)

Memory

-7.2MiB live, 107.0MiB allocated

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

37.0ms	(-.f64 #s(literal 1 binary64) x)
36.0ms	x
13.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
11.0ms	y
11.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
89.5%	4	`x`
99.9%	3	`y`
99.9%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.9%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
87.6%	3	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes51.0ms (0.5%)

Memory

14.0MiB live, 48.6MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

32.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
9.0ms	y
8.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))

Results

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

Compiler

Compiled 27 to 17 computations (37% saved)

regimes46.0ms (0.4%)

Memory

-7.7MiB live, 36.7MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

29.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
8.0ms	y
7.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.4%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.4%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
99.5%	3	`y`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes11.0ms (0.1%)

Memory

-18.0MiB live, 20.8MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.4%)

Memory

6.9MiB live, 45.6MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

#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)))

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

Calls

3 calls:

23.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
7.0ms	y
6.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.2%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
98.2%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
97.9%	3	`y`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes28.0ms (0.3%)

Memory

-23.3MiB live, 15.7MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

-13.7MiB live, 44.7MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

Calls

5 calls:

10.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
5.0ms	x
5.0ms	y
5.0ms	(-.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
53.9%	2	`(-.f64 #s(literal 1 binary64) x)`
57.9%	4	`x`
78.2%	5	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
78.2%	5	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
85.8%	3	`y`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
85.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

-17.8MiB live, 21.8MiB allocated

Counts

9 → 5

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	(-.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
77.2%	5	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
77.2%	5	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
73.7%	3	`y`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes7.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

8 → 5

Calls

Call 1

Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) (neg.f64 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) (+.f64 #s(literal 0 binary64) x))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x)))
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.2%	5	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
77.2%	5	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes4.0ms (0%)

Memory

-30.1MiB live, 9.4MiB allocated

Counts

7 → 5

Calls

Call 1

Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) (neg.f64 x))))

Outputs
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x)))
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
77.2%	5	`(-.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)

regimes5.0ms (0%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))
#s(approx (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)))
(-.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) (+.f64 #s(literal 0 binary64) x))

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

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

Calls

2 calls:

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%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
73.7%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

#s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) 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) (+.f64 #s(literal 0 binary64) 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
73.4%	3	`y`
73.5%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
73.5%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes45.0ms (0.4%)

Memory

-21.7MiB live, 18.1MiB allocated

Accuracy

Total -21.1b remaining (-51.1%)

Threshold costs -21.1b (-51.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

38.0ms	(-.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	x
1.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
35.5%	1	`(-.f64 #s(literal 1 binary64) x)`
35.5%	1	`x`
35.5%	1	`y`
35.5%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
35.5%	1	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0002157296320726	1704.8777464951474
0.0ms	0.9953712086307411	0.9985932541640784

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch56.0ms (0.5%)

Memory

-0.1MiB live, 40.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	32109.068762506016	4233825.220079185
14.0ms	-257727616.77770734	-0.0499003608403603

Samples

44.0ms

272×

valid

Compiler

Compiled 509 to 336 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 33.0ms (85.6% of total)

ival-sub: 3.0ms (7.8% of total)

ival-mult: 2.0ms (5.2% of total)

ival-add: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch66.0ms (0.6%)

Memory

-4.7MiB live, 33.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	66857671.37282673	862702143245396500.0
16.0ms	-120224624581078940.0	-257727616.77770734

Samples

10.0ms	103×	1	valid
10.0ms	201×	0	valid

Compiler

Compiled 472 to 298 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 4.0ms (31.3% of total)

ival-div: 3.0ms (23.5% of total)

ival-mult: 3.0ms (23.5% of total)

adjust: 2.0ms (15.7% of total)

ival-add: 1.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	66857671.37282673	862702143245396500.0
1.0ms	-120224624581078940.0	-257727616.77770734

Compiler

Compiled 453 to 298 computations (34.2% saved)

bsearch13.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	66857671.37282673	862702143245396500.0
11.0ms	-257727616.77770734	-0.0499003608403603

Samples

6.0ms

128×

valid

Compiler

Compiled 476 to 313 computations (34.2% saved)

Precisions

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

ival-div: 1.0ms (27.1% of total)

ival-sub: 1.0ms (27.1% of total)

ival-add: 1.0ms (27.1% of total)

ival-mult: 1.0ms (27.1% 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

-9.7MiB live, 67.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.004350736742011557	80.71244149700239
14.0ms	-257727616.77770734	-0.0499003608403603

Samples

15.0ms

272×

valid

Compiler

Compiled 456 to 291 computations (36.2% saved)

Precisions

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

ival-sub: 3.0ms (32.2% of total)

ival-mult: 3.0ms (32.2% of total)

ival-div: 2.0ms (21.5% of total)

ival-add: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.004350736742011557	80.71244149700239
1.0ms	-257727616.77770734	-0.0499003608403603

Compiler

Compiled 384 to 255 computations (33.6% saved)

bsearch6.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.004350736742011557	80.71244149700239
1.0ms	-257727616.77770734	-0.0499003608403603

Samples

2.0ms

48×

valid

Compiler

Compiled 376 to 247 computations (34.3% 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)

bsearch9.0ms (0.1%)

Memory

-33.3MiB live, 9.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.004350736742011557	80.71244149700239
1.0ms	-257727616.77770734	-0.0499003608403603

Samples

5.0ms

64×

valid

Compiler

Compiled 376 to 229 computations (39.1% saved)

Precisions

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

ival-sub: 1.0ms (55.3% 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)

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.004350736742011557	80.71244149700239
1.0ms	-257727616.77770734	-0.0499003608403603

Compiler

Compiled 322 to 229 computations (28.9% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0525211870246547	3.3810094353861113
0.0ms	0.0014067458359215967	0.004628791369258867
0.0ms	-3.0576229447335404e+48	-1.4892141793423476e+43
0.0ms	-1.5345260373410502e+175	-5.3214716510502965e+166

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0525211870246547	3.3810094353861113
0.0ms	0.012238038439185361	0.9999999999941055
0.0ms	-3.0576229447335404e+48	-1.4892141793423476e+43
0.0ms	-1.5345260373410502e+175	-5.3214716510502965e+166

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0525211870246547	3.3810094353861113
0.0ms	0.012238038439185361	0.9999999999941055
0.0ms	-3.0576229447335404e+48	-1.4892141793423476e+43
0.0ms	-1.5345260373410502e+175	-5.3214716510502965e+166

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0525211870246547	3.3810094353861113
0.0ms	0.012238038439185361	0.9999999999941055

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0525211870246547	3.3810094353861113
0.0ms	0.0014067458359215967	0.004628791369258867

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify42.0ms (0.4%)

Memory

14.9MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Rules

188×	`distribute-lft-neg-in_binary64`
126×	`neg-mul-1_binary64`
108×	`neg-sub0_binary64`
100×	`distribute-neg-in_binary64`
90×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	1475
1	184	1475
2	223	1475
3	257	1475
4	283	1475
5	305	1475
6	343	1475
7	388	1475
8	419	1475
9	464	1475
10	551	1475
11	652	1475
12	734	1475
13	783	1475
14	796	1475

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 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))) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -310000 binary64)) #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)) (if (<=.f64 y #s(literal 370000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))))
(if (<=.f64 y #s(literal -480000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 23000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -480000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 23000000000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -255000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 22500000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y))) (if (<=.f64 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))) #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 (+ x -1) #s(literal -1 binary64)) 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 (+ x -1) #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 (+ x -1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 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 #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) 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) (+.f64 #s(literal 0 binary64) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -2000000000000000087691686090152394709268095303680 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (.f64 y x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -2000000000000000087691686090152394709268095303680 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (.f64 y x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -2000000000000000087691686090152394709268095303680 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (.f64 y x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 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))) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 2242792614430507/2251799813685248 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 2 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))) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -310000 binary64)) #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)) (if (<=.f64 y #s(literal 370000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))))
(if (<=.f64 y #s(literal -310000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 370000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(if (<=.f64 y #s(literal -480000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 23000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -480000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 23000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -480000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 23000000000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -255000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 22500000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (+ x -1) #s(literal -1 binary64)) y))) (if (<=.f64 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))) #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 (+ x -1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (.f64 x y)) (+.f64 y #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 (+ x -1) #s(literal -1 binary64)) 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 (+ x -1) #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 (+ x -1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 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 #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) 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) (+.f64 #s(literal 0 binary64) 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 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 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -2000000000000000087691686090152394709268095303680 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (.f64 y x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -2000000000000000087691686090152394709268095303680 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (.f64 x y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -2000000000000000087691686090152394709268095303680 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (.f64 y x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -2000000000000000087691686090152394709268095303680 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (.f64 x y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal -2000000000000000087691686090152394709268095303680 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (.f64 y x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -2000000000000000087691686090152394709268095303680 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (.f64 x y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) #s(approx (/ (- 1 ( (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) (+.f64 #s(literal 0 binary64) x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (+ ( (/ (+ (* y (neg x)) y) (+ (* y y) -1)) (- 1 y)) 1) x) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) #s(literal 2 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 (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))

soundness1.6s (15.2%)

Memory

-8.3MiB live, 1 345.9MiB allocated

Rules

13 336×	`lower-fma.f64`
13 336×	`lower-fma.f32`
9 196×	`lower-fma.f64`
9 196×	`lower-fma.f32`
7 954×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	63	31
2	533	31
0	8517	30
0	516	5393
1	1787	4920
2	6534	4870
0	8362	4709
0	904	8184
1	3131	7578
0	8759	7374
0	127	823
1	400	799
2	1127	684
3	4566	669
0	8319	648
0	566	7463
1	1940	6995
2	7095	6990
0	8185	6744
0	37	232
0	67	200
1	352	185
2	3590	185
0	9038	185

Stop Event

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

Compiler

Compiled 1 320 to 500 computations (62.1% saved)

preprocess201.0ms (1.9%)

Memory: 2.2MiB live, 254.4MiB allocated
Compiler: Compiled 1 398 to 256 computations (81.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.1%)

sample1.2s (11.7%)

preprocess212.0ms (2%)

explain140.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (0.6%)

localize35.0ms (0.3%)

series9.0ms (0.1%)

simplify329.0ms (3.1%)

rewrite329.0ms (3.1%)

eval73.0ms (0.7%)

prune101.0ms (1%)

simplify239.0ms (2.3%)

localize287.0ms (2.7%)

series78.0ms (0.7%)

simplify651.0ms (6.2%)

rewrite488.0ms (4.7%)

eval377.0ms (3.6%)

prune239.0ms (2.3%)

simplify272.0ms (2.6%)

localize130.0ms (1.2%)

series33.0ms (0.3%)

simplify391.0ms (3.7%)

rewrite301.0ms (2.9%)

eval151.0ms (1.4%)

prune168.0ms (1.6%)

simplify370.0ms (3.5%)

localize170.0ms (1.6%)

series38.0ms (0.4%)

simplify446.0ms (4.3%)

rewrite320.0ms (3.1%)

eval161.0ms (1.5%)

prune201.0ms (1.9%)

regimes110.0ms (1.1%)

regimes51.0ms (0.5%)

regimes46.0ms (0.4%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes38.0ms (0.4%)

regimes28.0ms (0.3%)

regimes7.0ms (0.1%)

regimes30.0ms (0.3%)

regimes6.0ms (0.1%)

regimes27.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

regimes45.0ms (0.4%)

bsearch1.0ms (0%)

bsearch56.0ms (0.5%)

bsearch66.0ms (0.6%)

bsearch2.0ms (0%)

bsearch13.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch2.0ms (0%)

bsearch6.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify42.0ms (0.4%)

soundness1.6s (15.2%)

preprocess201.0ms (1.9%)

end0.0ms (0%)

Profiling