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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB 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)

sample1.1s (14.4%)

Memory

33.7MiB live, 1 050.8MiB allocated

Samples

482.0ms	7 003×	0	valid
188.0ms	1 253×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 432.0ms

ival-sub: 120.0ms (27.8% of total)

ival-mult: 112.0ms (25.9% of total)

ival-div: 95.0ms (22% of total)

ival-add: 64.0ms (14.8% of total)

adjust: 26.0ms (6% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain145.0ms (1.9%)

Memory

-10.1MiB live, 116.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
67	1	(-0.0043722755984003546 -7.04416207467526e+123)	-	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
25	0	-	-	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
0	0	-	-	`(+.f64 y #s(literal 1 binary64))`
0	0	-	-	`y`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	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	68	0
`/.f64`	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`	o/n	25	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`	overflow	25

Confusion

	Predicted +	Predicted -
+	92	0
-	1	163

Precision

0.989247311827957

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	1	0	163

Precision?

0.989247311827957

Recall?

1.0

Freqs

test

number	freq
0	163
1	93

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms	424×	0	valid
21.0ms	88×	1	valid

Compiler

Compiled 117 to 36 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 31.0ms (54.2% of total)

ival-add: 13.0ms (22.7% of total)

ival-sub: 6.0ms (10.5% of total)

ival-mult: 4.0ms (7% of total)

adjust: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess158.0ms (2.1%)

Memory

-18.1MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify38.0ms (0.5%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (1.1%)

Memory

-39.1MiB live, 46.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	5.888823356581242	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
accuracy	15.591227407336957	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Samples

37.0ms	44×	1	valid
13.0ms	212×	0	valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sub: 35.0ms (83.8% of total)

ival-div: 2.0ms (4.8% of total)

ival-mult: 2.0ms (4.8% of total)

adjust: 1.0ms (2.4% of total)

ival-add: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

6 calls:

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

simplify176.0ms (2.3%)

Memory

40.7MiB live, 114.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

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

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

rewrite251.0ms (3.3%)

Memory

-3.4MiB live, 238.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 473

Calls

Call 1

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

Outputs
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eval164.0ms (2.2%)

Memory: -0.4MiB live, 153.4MiB allocated
Compiler: Compiled 12 316 to 1 657 computations (86.5% saved)

prune47.0ms (0.6%)

Memory

-1.7MiB live, 35.8MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	552	12	564
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	553	12	565

Accuracy

100.0%

Counts

565 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
▶	64.9%	(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
	61.5%	(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
	64.5%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64))))
	43.3%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
	22.5%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
	46.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
▶	53.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	53.4%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
	46.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
▶	46.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
▶	42.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))

Compiler

Compiled 426 to 210 computations (50.7% saved)

simplify178.0ms (2.4%)

Memory

-10.6MiB live, 119.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	175
0	45	175
1	83	175
2	189	175
3	599	175
4	2154	171
5	6288	171
0	8175	166

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.5%)

Memory

10.9MiB live, 87.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
accuracy	0.015625	(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy	34.565741611432315	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
accuracy	0	(+.f64 #s(literal -1 binary64) y)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
accuracy	0.03125	(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
accuracy	29.798787243948393	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
accuracy	0	(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	29.93341207919383	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	36.99773518586812	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.078125	(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
accuracy	13.278524273183312	(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
accuracy	15.67019154268939	(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))

Samples

62.0ms	212×	0	valid
34.0ms	44×	1	valid

Compiler

Compiled 287 to 49 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-add: 32.0ms (40.9% of total)

ival-mult: 31.0ms (39.6% of total)

ival-div: 6.0ms (7.7% of total)

ival-sub: 6.0ms (7.7% of total)

adjust: 3.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series77.0ms (1%)

Memory

-2.7MiB live, 34.6MiB allocated

Counts

16 → 312

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
55.0ms	y	@	-inf	((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ -1 y))
3.0ms	x	@	0	((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ -1 y))
3.0ms	x	@	-inf	((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ -1 y))
2.0ms	x	@	inf	((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ -1 y))
2.0ms	y	@	inf	((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ -1 y))

simplify223.0ms (3%)

Memory

-15.8MiB live, 141.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	3634
1	1081	3380
2	3202	3023
0	8416	2822

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 295

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- x 1))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 y (pow.f64 y #s(literal 3 binary64))))
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- x 1))) 1))))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- (* (pow y 2) (- x 1)) (* -1 (- x 1))))) 1))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(* -1 y)
(neg.f64 y)
(* y (- (* -1 (pow y 2)) 1))
(-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y)
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(*.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) y #s(literal -1 binary64)) y)
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
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1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(* -1 (- 1 x))
(-.f64 x #s(literal 1 binary64))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* y (- (* x y) x))))
(.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(.f64 (fma.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) y x) y)
y
(* y (+ 1 (* -1 y)))
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(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(+ 1 (* -1 (- 1 x)))
x
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x y)))
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 x y) y)) (/.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))
(/ (- 1 x) y)
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(/ (- (+ 1 (/ 1 (pow y 2))) (+ x (/ x (pow y 2)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y) #s(literal 1 binary64)) x) y)
(/ (- (+ 1 (/ 1 (pow y 4))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ x (pow y 4))))) y)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) x) (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))) y)
(/ (- (+ 1 (/ 1 (pow y 6))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- 1 x) (pow y 4))) (/ x (pow y 6)))))) y)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) y)
(/ 1 y)
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(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
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(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
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x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))
(* y (- x 1))
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(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
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(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
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x
(- (+ x (/ 1 y)) (/ x y))
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(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) y y) y)
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x
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(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
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1
#s(literal 1 binary64)
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y
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(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
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(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
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(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
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(* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1)))
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(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1)))))
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(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1)))))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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rewrite204.0ms (2.7%)

Memory

43.5MiB live, 186.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	150
0	45	150
1	198	150
2	1749	150
0	8260	150

Stop Event

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

Counts

16 → 615

Calls

Call 1

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

Outputs
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eval286.0ms (3.8%)

Memory: -12.2MiB live, 234.3MiB allocated
Compiler: Compiled 19 014 to 2 748 computations (85.5% saved)

prune83.0ms (1.1%)

Memory

-29.0MiB live, 94.1MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	939	10	949
Fresh	2	5	7
Picked	3	2	5
Done	0	0	0
Total	944	17	961

Accuracy

100.0%

Counts

961 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	43.2%	(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
▶	43.3%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
▶	22.5%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
	46.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
▶	75.6%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)))
✓	53.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
	41.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
	53.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64)))
	36.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))))
	46.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
	13.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (.f64 #s(approx (/ y (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
	42.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
	14.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
▶	33.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
✓	42.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
▶	33.5%	#s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x)

Compiler

Compiled 277 to 228 computations (17.7% saved)

simplify159.0ms (2.1%)

Memory

56.9MiB live, 273.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y #s(literal 1 binary64))
cost-diff	0	(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 x (/.f64 x y))
cost-diff	0	#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x)
cost-diff	0	(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff	0	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)))
cost-diff	64	(-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x)))
cost-diff	1024	(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	218
0	48	218
1	83	218
2	174	218
3	554	218
4	1855	203
5	5891	203
0	8123	198

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (2.6%)

Memory

-48.2MiB live, 299.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.015625	(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy	15.591227407336957	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
accuracy	28.85066359017336	#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
accuracy	0	(/.f64 x y)
accuracy	0.015625	(-.f64 x (/.f64 x y))
accuracy	33.998347934421155	#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
accuracy	34.565741611432315	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	15.591227407336957	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
accuracy	33.86701140168036	#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))
accuracy	42.56643798936623	#s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x)
accuracy	0.00390625	(-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x)))
accuracy	0.015625	(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy	5.993144210634547	(/.f64 y (fma.f64 x y x))
accuracy	15.666982016645473	(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))

Samples

69.0ms	44×	1	valid
49.0ms	212×	0	valid

Compiler

Compiled 296 to 48 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 37.0ms (48.9% of total)

ival-add: 17.0ms (22.5% of total)

ival-div: 12.0ms (15.9% of total)

ival-sub: 7.0ms (9.2% of total)

adjust: 3.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory

-7.3MiB live, 69.2MiB allocated

Counts

16 → 348

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((+ (* (- (/ y (+ y 1)) (/ y (+ (* x y) x))) x) 1) (- (/ y (+ y 1)) (/ y (+ (* x y) x))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ y (+ y 1)) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (+ y 1) (/ y (+ (* x y) x)))
3.0ms	x	@	-inf	((+ (* (- (/ y (+ y 1)) (/ y (+ (* x y) x))) x) 1) (- (/ y (+ y 1)) (/ y (+ (* x y) x))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ y (+ y 1)) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (+ y 1) (/ y (+ (* x y) x)))
3.0ms	y	@	0	((+ (* (- (/ y (+ y 1)) (/ y (+ (* x y) x))) x) 1) (- (/ y (+ y 1)) (/ y (+ (* x y) x))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ y (+ y 1)) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (+ y 1) (/ y (+ (* x y) x)))
2.0ms	x	@	0	((+ (* (- (/ y (+ y 1)) (/ y (+ (* x y) x))) x) 1) (- (/ y (+ y 1)) (/ y (+ (* x y) x))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ y (+ y 1)) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (+ y 1) (/ y (+ (* x y) x)))
1.0ms	y	@	-inf	((+ (* (- (/ y (+ y 1)) (/ y (+ (* x y) x))) x) 1) (- (/ y (+ y 1)) (/ y (+ (* x y) x))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ y (+ y 1)) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (+ y 1) (/ y (+ (* x y) x)))

simplify190.0ms (2.5%)

Memory

17.6MiB live, 276.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	4590
1	1103	4235
2	3187	3386
0	8921	3244

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 333

Calls

Call 1

Inputs
1
(+ 1 (* x (* y (- 1 (/ 1 x)))))
(+ 1 (* y (+ (* x (* y (- (/ 1 x) 1))) (* x (- 1 (/ 1 x))))))
(+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (+ (* x (* y (- 1 (/ 1 x)))) (* x (- (/ 1 x) 1)))))))
(* y (- 1 (/ 1 x)))
(* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x)))
(* y (- (+ 1 (* y (- (+ (* y (- 1 (/ 1 x))) (/ 1 x)) 1))) (/ 1 x)))
(* y (- (+ 1 (* y (- (+ (* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) (/ 1 x)) 1))) (/ 1 x)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x)))))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* y (- 1 x))
(* y (- (+ 1 (* y (- x 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* y (- 1 x))
(* y (- (+ 1 (* y (- x 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
(/ y x)
(* y (+ (* -1 (/ y x)) (/ 1 x)))
(* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))
(+ 1 (* x (- 1 (/ 1 x))))
(+ 1 (+ (* x (- 1 (/ 1 x))) (/ (* x (- (/ 1 x) 1)) y)))
(+ 1 (+ (* x (- 1 (/ 1 x))) (+ (/ (* x (- 1 (/ 1 x))) (pow y 2)) (/ (* x (- (/ 1 x) 1)) y))))
(+ 1 (+ (* x (- 1 (/ 1 x))) (+ (/ (* x (- 1 (/ 1 x))) (pow y 2)) (+ (/ (* x (- (/ 1 x) 1)) y) (/ (* x (- (/ 1 x) 1)) (pow y 3))))))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (* x y))) (+ (/ 1 x) (/ 1 y)))
(- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))
(- (+ 1 (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))))) (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x y)))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(- 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))))))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ 1 x)
(- (/ 1 x) (/ 1 (* x y)))
(- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))
(- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))))
(+ 1 (* x (- 1 (/ 1 x))))
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Outputs
1
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rewrite229.0ms (3.1%)

Memory

21.7MiB live, 276.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	196
0	48	196
1	241	196
2	2269	196
0	9228	194

Stop Event

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

Counts

16 → 318

Calls

Call 1

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

Outputs
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eval135.0ms (1.8%)

Memory: -6.4MiB live, 185.2MiB allocated
Compiler: Compiled 13 460 to 1 881 computations (86% saved)

prune26.0ms (0.3%)

Memory

-14.6MiB live, 68.3MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	714	3	717
Fresh	3	7	10
Picked	2	3	5
Done	0	2	2
Total	719	15	734

Accuracy

100.0%

Counts

734 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.3%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
	3.2%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
	46.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
▶	49.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)))
✓	53.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
	41.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
	36.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))))
▶	46.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
	13.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (.f64 #s(approx (/ y (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
▶	42.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
▶	14.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
✓	33.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
▶	13.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
✓	42.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
✓	33.5%	#s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x)

Compiler

Compiled 192 to 170 computations (11.5% saved)

simplify203.0ms (2.7%)

Memory

22.7MiB live, 133.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	255
0	45	255
1	78	255
2	146	255
3	318	255
4	877	255
5	3100	255
6	4460	255
7	5663	255
8	6653	255
9	7156	255
10	7249	255
11	7279	255
12	7661	255
13	7994	255
0	8028	244

Stop Event

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

Calls

Call 1

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

localize108.0ms (1.4%)

Memory

-13.7MiB live, 195.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (-.f64 x #s(literal 1 binary64)) y)
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.01953125	(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
accuracy	34.11775374779153	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.07421875	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
accuracy	29.902212032548686	#s(approx (* (/ y (+ y 1)) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
accuracy	34.565741611432315	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
accuracy	0	(*.f64 x y)
accuracy	29.93341207919383	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
accuracy	42.2347392434608	#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	20.365698910019344	#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
accuracy	29.93341207919383	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
accuracy	0.00390625	(-.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x y x)))
accuracy	5.993144210634547	(/.f64 y (fma.f64 x y x))
accuracy	15.666982016645473	(fma.f64 (-.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
accuracy	33.76387665237683	#s(approx (/ y (+ y 1)) #s(literal 1 binary64))

Samples

72.0ms	212×	0	valid
18.0ms	44×	1	valid

Compiler

Compiled 312 to 49 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 23.0ms (33.5% of total)

ival-add: 19.0ms (27.6% of total)

ival-sub: 14.0ms (20.4% of total)

ival-div: 10.0ms (14.5% of total)

adjust: 3.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.9%)

Memory

-10.6MiB live, 61.6MiB allocated

Counts

19 → 420

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	((+ (* (- (/ y (+ y 1)) (/ y (+ (* x y) x))) x) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- (/ y (+ y 1)) (/ y (+ (* x y) x))) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (/ y (+ (* x y) x)))
3.0ms	x	@	inf	((+ (* (- (/ y (+ y 1)) (/ y (+ (* x y) x))) x) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- (/ y (+ y 1)) (/ y (+ (* x y) x))) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (/ y (+ (* x y) x)))
2.0ms	x	@	0	((+ (* (- (/ y (+ y 1)) (/ y (+ (* x y) x))) x) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- (/ y (+ y 1)) (/ y (+ (* x y) x))) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (/ y (+ (* x y) x)))
2.0ms	y	@	-inf	((+ (* (- (/ y (+ y 1)) (/ y (+ (* x y) x))) x) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- (/ y (+ y 1)) (/ y (+ (* x y) x))) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (/ y (+ (* x y) x)))
2.0ms	y	@	0	((+ (* (- (/ y (+ y 1)) (/ y (+ (* x y) x))) x) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- (/ y (+ y 1)) (/ y (+ (* x y) x))) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (/ y (+ (* x y) x)))

simplify198.0ms (2.6%)

Memory

1.1MiB live, 320.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	4685
1	953	4133
2	2621	3232
0	8716	3064

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 402

Calls

Call 1

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

rewrite252.0ms (3.3%)

Memory

11.6MiB live, 322.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	235
0	45	235
1	201	235
2	1716	235
0	8120	231

Stop Event

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

Counts

19 → 254

Calls

Call 1

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

Outputs
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eval166.0ms (2.2%)

Memory: 19.5MiB live, 218.0MiB allocated
Compiler: Compiled 10 127 to 1 517 computations (85% saved)

prune62.0ms (0.8%)

Memory

-18.8MiB live, 63.1MiB allocated

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	695	4	699
Fresh	1	4	5
Picked	1	4	5
Done	0	5	5
Total	697	17	714

Accuracy

100.0%

Counts

714 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.3%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
	3.2%	(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
	46.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
✓	49.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)))
✓	53.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
	41.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
	36.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))))
	41.5%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))))))
	46.8%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
	16.7%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
✓	42.0%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
✓	14.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
	3.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
✓	33.3%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
✓	13.9%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
✓	42.2%	#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
✓	33.5%	#s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x)

Compiler

Compiled 499 to 235 computations (52.9% saved)

regimes50.0ms (0.7%)

Memory

31.1MiB live, 70.5MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

14.0ms	y
9.0ms	x
9.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
8.0ms	(-.f64 #s(literal 1 binary64) x)
8.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
78.8%	3	`x`
100.0%	3	`y`
100.0%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
100.0%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
75.6%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 25 to 23 computations (8% saved)

regimes35.0ms (0.5%)

Memory

7.5MiB live, 44.6MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

18.0ms	y
8.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
7.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

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

Compiler

Compiled 21 to 17 computations (19% saved)

regimes30.0ms (0.4%)

Memory

-31.4MiB live, 12.1MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes20.0ms (0.3%)

Memory

-10.4MiB live, 28.7MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

9.0ms	y
5.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
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
90.2%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
90.2%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
98.0%	3	`y`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

5.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.2%)

Memory

-27.9MiB live, 11.2MiB allocated

Counts

14 → 3

Calls

Call 1

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

12.0ms

Results

Accuracy	Segments	Branch
97.2%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

13 → 4

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
4.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
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
78.9%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
78.9%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
86.8%	4	`y`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes10.0ms (0.1%)

Memory

-30.1MiB live, 9.1MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
86.7%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
83.5%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	y
3.0ms	x
3.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
3.0ms	(-.f64 #s(literal 1 binary64) x)
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
75.5%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
75.5%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
52.2%	3	`(-.f64 #s(literal 1 binary64) x)`
52.9%	3	`x`
72.4%	3	`y`

Compiler

Compiled 25 to 23 computations (8% saved)

regimes46.0ms (0.6%)

Memory

-58.6MiB live, 10.7MiB allocated

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	(/.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
75.4%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
75.4%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes7.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.3%	3	`y`
72.4%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
72.4%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.1%	3	`y`
72.2%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
72.2%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes36.0ms (0.5%)

Memory

-25.4MiB live, 14.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

31.0ms	y
1.0ms	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)
1.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
33.5%	1	`(-.f64 #s(literal 1 binary64) x)`
33.5%	1	`x`
33.5%	1	`y`
33.5%	1	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
33.5%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`

Compiler

Compiled 25 to 23 computations (8% saved)

bsearch59.0ms (0.8%)

Memory

6.2MiB live, 45.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	0.6131158094572586	132790082.20565462
13.0ms	-2674432711.136664	-18.466497572539133

Samples

45.0ms

288×

valid

Compiler

Compiled 536 to 391 computations (27.1% saved)

Precisions

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

ival-add: 32.0ms (81.8% of total)

ival-sub: 3.0ms (7.7% of total)

ival-div: 2.0ms (5.1% of total)

ival-mult: 2.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.6131158094572586	132790082.20565462
5.0ms	-2674432711.136664	-18.466497572539133

Samples

3.0ms

64×

valid

Compiler

Compiled 446 to 355 computations (20.4% saved)

Precisions

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

ival-sub: 1.0ms (52.1% 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)

bsearch31.0ms (0.4%)

Memory

5.4MiB live, 44.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	132790082.20565462	532375404675.64703
17.0ms	-2674432711.136664	-18.466497572539133

Samples

13.0ms

240×

valid

Compiler

Compiled 337 to 302 computations (10.4% saved)

Precisions

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

ival-sub: 3.0ms (40.9% of total)

ival-div: 2.0ms (27.3% of total)

ival-mult: 2.0ms (27.3% of total)

ival-add: 1.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch59.0ms (0.8%)

Memory

-13.3MiB live, 28.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	132790082.20565462	532375404675.64703
52.0ms	-18.466497572539133	-0.02287607550203407

Samples

49.0ms

176×

valid

Compiler

Compiled 318 to 301 computations (5.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 41.0ms (90.2% of total)

ival-sub: 2.0ms (4.4% of total)

ival-add: 1.0ms (2.2% of total)

ival-mult: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch84.0ms (1.1%)

Memory

5.2MiB live, 44.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
73.0ms	0.6131158094572586	132790082.20565462
9.0ms	-18.466497572539133	-0.02287607550203407

Samples

12.0ms

224×

valid

Compiler

Compiled 337 to 319 computations (5.3% saved)

Precisions

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

ival-div: 2.0ms (29.3% of total)

ival-sub: 2.0ms (29.3% of total)

ival-mult: 2.0ms (29.3% of total)

ival-add: 1.0ms (14.7% 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

5.6MiB live, 5.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.6131158094572586	132790082.20565462
1.0ms	-18.466497572539133	-0.02287607550203407

Compiler

Compiled 320 to 302 computations (5.6% saved)

bsearch5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.6131158094572586	132790082.20565462
1.0ms	-18.466497572539133	-0.02287607550203407

Samples

2.0ms

32×

valid

Compiler

Compiled 303 to 302 computations (0.3% 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)

bsearch8.0ms (0.1%)

Memory

-23.9MiB live, 14.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.6131158094572586	132790082.20565462
2.0ms	-18.466497572539133	-0.02287607550203407

Samples

3.0ms

48×

valid

Compiler

Compiled 252 to 268 computations (-6.3% 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)

bsearch21.0ms (0.3%)

Memory

12.9MiB live, 51.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	5.690758267586506e+141	8.313753815885123e+148
1.0ms	132790082.20565462	532375404675.64703
1.0ms	-18.466497572539133	-0.02287607550203407

Samples

7.0ms	97×	0	valid
5.0ms	47×	1	valid

Compiler

Compiled 285 to 336 computations (-17.9% saved)

Precisions

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

ival-sub: 4.0ms (47.5% of total)

adjust: 1.0ms (11.9% of total)

ival-div: 1.0ms (11.9% of total)

ival-mult: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	5.690758267586506e+141	8.313753815885123e+148
1.0ms	132790082.20565462	532375404675.64703
1.0ms	-18.466497572539133	-0.02287607550203407

Compiler

Compiled 245 to 312 computations (-27.3% saved)

bsearch4.0ms (0.1%)

Memory

-35.5MiB live, 6.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.6131158094572586	132790082.20565462
1.0ms	-18.466497572539133	-0.02287607550203407

Compiler

Compiled 167 to 200 computations (-19.8% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.9144386110604825e-7	0.9999996341043
0.0ms	-986.7237168704573	-0.0037827773813330755
0.0ms	-3.525912415420676e+85	-1.5072127535616021e+82

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.9144386110604825e-7	0.9999996341043
0.0ms	-986.7237168704573	-0.0037827773813330755
0.0ms	-3.525912415420676e+85	-1.5072127535616021e+82

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3707157472085696e+53	1.3579664398585565e+62
0.0ms	3.658956999608165e-7	0.9999996085561389

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3707157472085696e+53	1.3579664398585565e+62
0.0ms	3.658956999608165e-7	0.9999996085561389

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify61.0ms (0.8%)

Memory

1.8MiB live, 79.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1237
1	179	1237
2	230	1237
3	283	1237
4	315	1237
5	338	1237
6	400	1237
7	488	1237
8	626	1237
9	778	1237
10	888	1237
11	971	1237
12	1009	1237
13	1021	1237
14	1026	1237
15	1027	1237

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -280000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(if (<=.f64 y #s(literal -320000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 340000 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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(if (<=.f64 y #s(literal -120000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 185000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -18 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 135000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) 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 3602879701896397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.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))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 135000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5800000000000000132308137183846694550356125778001896329071805771443985342963876390007498001845420560950256609054125059768134587476371121897472 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x) (if (<=.f64 y #s(literal 135000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5800000000000000132308137183846694550356125778001896329071805771443985342963876390007498001845420560950256609054125059768134587476371121897472 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (* (- 1 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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x)))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ ( (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -500 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (.f64 x y))) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) #s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x))))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ ( (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -500 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (.f64 x y))) (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (* (- 1 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 4722366482869645/9444732965739290427392 binary64)) #s(approx (+ ( (* (- 1 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 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* (* (- 1 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 4722366482869645/9444732965739290427392 binary64)) #s(approx (+ ( (* (- 1 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 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x)))
#s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x)

Outputs
(if (<=.f64 y #s(literal -280000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(if (<=.f64 y #s(literal -280000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(if (<=.f64 y #s(literal -320000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 340000 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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(if (<=.f64 y #s(literal -320000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 340000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(if (<=.f64 y #s(literal -120000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 185000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -120000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 185000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -18 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 135000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -18 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 135000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) y) (-.f64 y #s(literal -1 binary64)))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64))) #s(approx (- 1 (/ ( (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) 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)))))
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#s(approx (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) x)

soundness1.4s (18.8%)

Memory

30.8MiB live, 1 141.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	63	31
2	533	31
0	8517	30
0	346	3634
1	1081	3380
2	3202	3023
0	8416	2822
0	307	4685
1	953	4133
2	2621	3232
0	8716	3064
0	127	823
1	400	799
2	1127	684
3	4559	669
0	8305	648

Stop Event

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

Compiler

Compiled 782 to 360 computations (54% saved)

preprocess97.0ms (1.3%)

Memory: -4.4MiB live, 271.6MiB allocated
Compiler: Compiled 1 198 to 304 computations (74.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze14.0ms (0.2%)

sample1.1s (14.4%)

explain145.0ms (1.9%)

preprocess158.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify38.0ms (0.5%)

localize82.0ms (1.1%)

series8.0ms (0.1%)

simplify176.0ms (2.3%)

rewrite251.0ms (3.3%)

eval164.0ms (2.2%)

prune47.0ms (0.6%)

simplify178.0ms (2.4%)

localize114.0ms (1.5%)

series77.0ms (1%)

simplify223.0ms (3%)

rewrite204.0ms (2.7%)

eval286.0ms (3.8%)

prune83.0ms (1.1%)

simplify159.0ms (2.1%)

localize195.0ms (2.6%)

series33.0ms (0.4%)

simplify190.0ms (2.5%)

rewrite229.0ms (3.1%)

eval135.0ms (1.8%)

prune26.0ms (0.3%)

simplify203.0ms (2.7%)

localize108.0ms (1.4%)

series64.0ms (0.9%)

simplify198.0ms (2.6%)

rewrite252.0ms (3.3%)

eval166.0ms (2.2%)

prune62.0ms (0.8%)

regimes50.0ms (0.7%)

regimes35.0ms (0.5%)

regimes30.0ms (0.4%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes20.0ms (0.3%)

regimes6.0ms (0.1%)

regimes13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes16.0ms (0.2%)

regimes46.0ms (0.6%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes36.0ms (0.5%)

bsearch59.0ms (0.8%)

bsearch8.0ms (0.1%)

bsearch31.0ms (0.4%)

bsearch59.0ms (0.8%)

bsearch84.0ms (1.1%)

bsearch2.0ms (0%)

bsearch5.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch21.0ms (0.3%)

bsearch3.0ms (0%)

bsearch4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify61.0ms (0.8%)

soundness1.4s (18.8%)

preprocess97.0ms (1.3%)

end0.0ms (0%)

Profiling