Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.3s (21.5%)

Memory

49.3MiB live, 1 409.9MiB allocated

Samples

898.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 541.0ms

const: 189.0ms (34.9% of total)

ival-mult: 137.0ms (25.3% of total)

ival-sub: 105.0ms (19.4% of total)

ival-add: 94.0ms (17.4% of total)

exact: 7.0ms (1.3% of total)

ival-true: 5.0ms (0.9% of total)

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

Bogosity

explain261.0ms (4.4%)

Memory

-15.5MiB live, 194.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 y #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
-	-	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
-	-	`#s(literal 918938533204673/1000000000000000 binary64)`
-	-	`(*.f64 x (-.f64 y #s(literal 1 binary64)))`
-	-	`y`
-	-	`(*.f64 y #s(literal 1/2 binary64))`
-	-	`#s(literal 1/2 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

86.0ms

512×

valid

Compiler

Compiled 123 to 44 computations (64.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 31.0ms (63.8% of total)

const: 9.0ms (18.5% of total)

ival-sub: 5.0ms (10.3% of total)

ival-add: 2.0ms (4.1% of total)

exact: 1.0ms (2.1% of total)

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

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

preprocess148.0ms (2.5%)

Memory

-10.6MiB live, 66.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	75	59
2	196	55
3	617	49
4	1512	45
5	2805	45
6	3394	45
7	3511	45
8	3531	45
9	3533	45
10	3535	45
11	3555	45
0	10	11
0	15	11
1	30	11
2	58	11
3	116	9
4	218	9
5	447	9
6	852	9
7	1252	9
8	1489	9
9	1510	9
0	1510	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs

(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify49.0ms (0.8%)

Memory

-6.7MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff	128	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff	320	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	15	36
1	30	36
2	58	36
3	116	32
4	218	32
5	447	32
6	852	32
7	1252	32
8	1489	32
9	1510	32
0	1510	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

localize26.0ms (0.4%)

Memory

28.7MiB live, 28.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	0.00390625	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
accuracy	0.00390625	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0078125	(*.f64 x (-.f64 y #s(literal 1 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 74 to 22 computations (70.3% saved)

Precisions

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

const: 4.0ms (35.8% of total)

ival-sub: 3.0ms (26.8% of total)

ival-mult: 3.0ms (26.8% of total)

ival-add: 1.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.7%)

Memory

-50.5MiB live, 17.8MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.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 #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<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 (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* -1 (/ x y))) 1/2)) (taylor inf y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* -1 (/ x y))) 1/2)) (taylor inf y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* -1 (/ x y))) 1/2)) (taylor inf y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1 x)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (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) 1))) (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) 1))) (taylor -inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- y 1)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- y 1)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- y 1)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 918938533204673/1000000000000000 (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* -1/2 (/ y x))) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* -1/2 (/ y x))) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* -1/2 (/ y x))) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y #s(literal 1 binary64))) (patch (.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	y	@	-inf	((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2))
1.0ms	x	@	inf	((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2))
1.0ms	y	@	inf	((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2))
1.0ms	y	@	0	((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2))
1.0ms	x	@	0	((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2))

simplify176.0ms (3%)

Memory

12.0MiB live, 124.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	582
1	232	520
2	695	520
3	1797	520
4	6379	520
0	8166	501

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

Inputs
(* -1 x)
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
-1
(- y 1)
(- y 1)
(- y 1)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* y (- x 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* -1/2 y)
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))

Outputs
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* y (- x 1/2)))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(+ (* -1 x) (* y (- x 1/2)))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(+ (* -1 x) (* y (- x 1/2)))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- (+ x (* -1 (/ x y))) 1/2))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* y (+ x (* -1 (/ x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* y (+ x (* -1 (/ x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
y
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
y
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
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(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
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(*.f64 #s(literal 1/2 binary64) y)
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(*.f64 #s(literal 1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(- (* x (- y 1)) (* 1/2 y))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(- (* x (- y 1)) (* 1/2 y))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(- (* x (- y 1)) (* 1/2 y))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
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(*.f64 (-.f64 y #s(literal 1 binary64)) x)
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(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (* -1/2 (/ y x))) 1))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)

rewrite260.0ms (4.4%)

Memory

5.9MiB live, 163.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	15	31
1	69	31
2	520	31
3	7720	31
0	8249	28

Stop Event

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

Counts

5 → 384

Calls

Call 1

Inputs
(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal 1/2 binary64))

Outputs
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eval97.0ms (1.6%)

Memory: -2.4MiB live, 122.0MiB allocated
Compiler: Compiled 12 121 to 1 380 computations (88.6% saved)

prune11.0ms (0.2%)

Memory

-1.0MiB live, 37.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	473	5	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	474	5	479

Accuracy

100.0%

Counts

479 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)))
▶	50.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	44.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	51.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	56.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Compiler

Compiled 102 to 76 computations (25.5% saved)

simplify293.0ms (5%)

Memory

-6.2MiB live, 198.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)))
cost-diff	128	(-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))
cost-diff	320	(-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
cost-diff	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
cost-diff	0	(-.f64 x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	197
0	44	197
1	95	193
2	198	193
3	537	189
4	1643	187
5	4245	187
6	7782	187
0	8045	179

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 binary64)
y
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)))
(-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
#s(literal 918938533204673/1000000000000000 binary64)
(.f64 #s(literal 1/4 binary64) (.f64 y y))
#s(literal 1/4 binary64)
(*.f64 y y)
(-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 binary64)
y
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)))
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (fma.f64 (-.f64 #s(literal -1/2 binary64) x) y (-.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(fma.f64 (.f64 #s(literal -1/4 binary64) y) y (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
#s(literal 918938533204673/1000000000000000 binary64)
(.f64 #s(literal 1/4 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 y y)
(-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 (-.f64 x #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)

localize92.0ms (1.6%)

Memory

12.8MiB live, 89.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.08431625976844201	(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	10.328102294132268	(-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))
accuracy	31.25828132703245	(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	31.057490981586355	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy	0.00390625	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
accuracy	31.816953799898805	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	35.27942290302477	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.00390625	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	27.839450485708657	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Samples

75.0ms

256×

valid

Compiler

Compiled 341 to 52 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

const: 30.0ms (49.9% of total)

ival-mult: 18.0ms (29.9% of total)

ival-sub: 7.0ms (11.6% of total)

ival-add: 3.0ms (5% of total)

ival-div: 2.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.9%)

Memory

-2.1MiB live, 36.4MiB allocated

Counts

15 → 300

Calls

Call 1

Inputs
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (patch #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (patch (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1/2 binary64)) (patch (-.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (patch #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y #s(literal 1 binary64)) x) (patch (.f64 (-.f64 y #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)) (patch (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (patch (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y))) (patch (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (patch (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) y) (patch (.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())

Outputs
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (patch #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (patch #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (patch #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (patch #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (patch (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (patch (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (patch (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (patch (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt 918938533204673/1000000000000000 (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1/2 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* -1/2 y)) x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)) (patch (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* -1/2 y)) x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)) (patch (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (- y 1) 2)) (taylor -inf x) (#s(alt (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (patch (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 918938533204673/500000000000000 (/ (- y 1) x)) (pow (- y 1) 2))) (taylor -inf x) (#s(alt (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (patch (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -918938533204673/500000000000000 (- y 1)) (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) x))) x)) (pow (- y 1) 2))) (taylor -inf x) (#s(alt (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (patch (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -918938533204673/500000000000000 (- y 1)) (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) x))) x)) (pow (- y 1) 2))) (taylor -inf x) (#s(alt (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (patch (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y))) (patch (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y))) (patch (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (+ (* -1 (/ (- (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1))) (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (- y 1)))) x)) (* -1/2 y))) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y))) (patch (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (+ (* -1 (/ (- (+ (* -1 (/ (* (- 918938533204673/1000000000000000 (* -1/2 y)) (- (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1))) (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (- y 1))))) (* x (- y 1)))) (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1)))) (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (- y 1)))) x)) (* -1/2 y))) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y))) (patch (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (- y 1) 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (patch (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 918938533204673/500000000000000 (/ (- y 1) x)) (pow (- y 1) 2))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (patch (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -918938533204673/500000000000000 (- y 1)) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 x))) x)) (pow (- y 1) 2))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (patch (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -918938533204673/500000000000000 (- y 1)) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 x))) x)) (pow (- y 1) 2))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (patch (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y)) (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* -1/2 y))
3.0ms	x	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y)) (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* -1/2 y))
3.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y)) (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* -1/2 y))
2.0ms	x	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y)) (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* -1/2 y))
2.0ms	x	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y)) (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* -1/2 y))

simplify206.0ms (3.5%)

Memory

4.5MiB live, 208.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	4337
1	1336	4014
2	4536	3947
0	8224	3658

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 296

Calls

Call 1

Inputs
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
-1
(- y 1)
(- y 1)
(- y 1)
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (+ 1/2 x))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (+ 1/2 x))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (+ 1/2 x))))
(pow (+ 918938533204673/1000000000000000 (* -1 x)) 2)
(+ (* 2 (* x (* y (+ 918938533204673/1000000000000000 (* -1 x))))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(+ (* y (+ (* 2 (* x (+ 918938533204673/1000000000000000 (* -1 x)))) (* y (- (pow x 2) 1/4)))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(+ (* y (+ (* 2 (* x (+ 918938533204673/1000000000000000 (* -1 x)))) (* y (- (pow x 2) 1/4)))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (* 2 x) (+ 1/2 x)))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (+ (* 2 x) (* y (- (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 1/2 x)))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (+ (* 2 x) (* y (- (+ (* -1 (/ (* y (* (+ 1/2 x) (- (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x)))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 1/2 x)))))
(pow (+ 918938533204673/1000000000000000 (* -1 x)) 2)
(+ (* 2 (* x (* y (+ 918938533204673/1000000000000000 (* -1 x))))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(+ (* y (+ (* 2 (* x (+ 918938533204673/1000000000000000 (* -1 x)))) (* (pow x 2) y))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(+ (* y (+ (* 2 (* x (+ 918938533204673/1000000000000000 (* -1 x)))) (* (pow x 2) y))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
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(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* (pow x 2) (pow (- y 1) 2))
(* (pow x 2) (+ (* 918938533204673/500000000000000 (/ (- y 1) x)) (pow (- y 1) 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -918938533204673/500000000000000 (- y 1)) (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) x))) x)) (pow (- y 1) 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -918938533204673/500000000000000 (- y 1)) (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) x))) x)) (pow (- y 1) 2)))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (+ (* -1 (/ (- (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1))) (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (- y 1)))) x)) (* -1/2 y))) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (+ (* -1 (/ (- (+ (* -1 (/ (* (- 918938533204673/1000000000000000 (* -1/2 y)) (- (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1))) (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (- y 1))))) (* x (- y 1)))) (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1)))) (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (- y 1)))) x)) (* -1/2 y))) x)))))
(* (pow x 2) (pow (- y 1) 2))
(* (pow x 2) (+ (* 918938533204673/500000000000000 (/ (- y 1) x)) (pow (- y 1) 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -918938533204673/500000000000000 (- y 1)) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 x))) x)) (pow (- y 1) 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -918938533204673/500000000000000 (- y 1)) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 x))) x)) (pow (- y 1) 2)))

Outputs
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (+ 1/2 x))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (+ 1/2 x))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (+ 1/2 x))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(pow (+ 918938533204673/1000000000000000 (* -1 x)) 2)
(pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64))
(+ (* 2 (* x (* y (+ 918938533204673/1000000000000000 (* -1 x))))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(fma.f64 (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) #s(literal 2 binary64)) y (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(+ (* y (+ (* 2 (* x (+ 918938533204673/1000000000000000 (* -1 x)))) (* y (- (pow x 2) 1/4)))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal -1/4 binary64)) y (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) #s(literal 2 binary64))) y (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(+ (* y (+ (* 2 (* x (+ 918938533204673/1000000000000000 (* -1 x)))) (* y (- (pow x 2) 1/4)))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal -1/4 binary64)) y (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) #s(literal 2 binary64))) y (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (* 2 x) (+ 1/2 x)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (+ (* 2 x) (* y (- (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 1/2 x)))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 x (/.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) y (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x))) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (+ (* 2 x) (* y (- (+ (* -1 (/ (* y (* (+ 1/2 x) (- (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x)))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 1/2 x)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal -1/2 binary64) x) y) (/.f64 (-.f64 (fma.f64 x (/.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (fma.f64 x (/.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) y (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x))) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(pow (+ 918938533204673/1000000000000000 (* -1 x)) 2)
(pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64))
(+ (* 2 (* x (* y (+ 918938533204673/1000000000000000 (* -1 x))))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(fma.f64 (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) #s(literal 2 binary64)) y (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(+ (* y (+ (* 2 (* x (+ 918938533204673/1000000000000000 (* -1 x)))) (* (pow x 2) y))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(fma.f64 (fma.f64 (.f64 x x) y (.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) #s(literal 2 binary64))) y (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(+ (* y (+ (* 2 (* x (+ 918938533204673/1000000000000000 (* -1 x)))) (* (pow x 2) y))) (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2))
(fma.f64 (fma.f64 (.f64 x x) y (.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) #s(literal 2 binary64))) y (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(*.f64 (-.f64 x (/.f64 x y)) y)
(* y (+ x (* -1 (/ x y))))
(*.f64 (-.f64 x (/.f64 x y)) y)
(* y (+ x (* -1 (/ x y))))
(*.f64 (-.f64 x (/.f64 x y)) y)
y
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (+ 1/2 x))
(*.f64 (+.f64 #s(literal 1/2 binary64) x) y)
(* y (+ 1/2 (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) x) y)
(* y (+ 1/2 (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) x) y)
(* y (+ 1/2 (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) x) y)
(* (pow y 2) (- (pow x 2) 1/4))
(.f64 (.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) y)
(* (pow y 2) (- (+ (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) y)) (pow x 2)) 1/4))
(.f64 (.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) y) #s(literal 2 binary64) (fma.f64 x x #s(literal -1/4 binary64))) y) y)
(* (pow y 2) (- (+ (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) y)) (+ (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (pow y 2)) (pow x 2))) 1/4))
(.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) y) #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) y) y) (fma.f64 x x #s(literal -1/4 binary64)))) (*.f64 y y))
(* (pow y 2) (- (+ (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) y)) (+ (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (pow y 2)) (pow x 2))) 1/4))
(.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) y) #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) y) y) (fma.f64 x x #s(literal -1/4 binary64)))) (*.f64 y y))
(/ (* y (- (pow x 2) 1/4)) (+ 1/2 x))
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(.f64 (-.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -918938533204673/500000000000000 binary64) (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) x)) x)) (.f64 x x))

rewrite261.0ms (4.4%)

Memory

-19.3MiB live, 213.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	163
0	44	148
1	210	129
2	1669	129
0	8216	122

Stop Event

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

Counts

15 → 578

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(-.f64 x #s(literal 1/2 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
(-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 #s(literal -1/2 binary64) y)

Outputs
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eval349.0ms (5.9%)

Memory: 0.3MiB live, 278.0MiB allocated
Compiler: Compiled 34 989 to 2 812 computations (92% saved)

prune39.0ms (0.7%)

Memory

20.2MiB live, 59.8MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 001	5	1 006
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 002	9	1 011

Accuracy

100.0%

Counts

1 011 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.2%	#s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
✓	50.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	44.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	51.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	56.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	30.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
▶	26.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
▶	21.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
▶	27.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))

Compiler

Compiled 79 to 87 computations (-10.1% saved)

simplify226.0ms (3.8%)

Memory

-11.0MiB live, 148.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- x 1/2) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* (- y 1) x) (*.f64 y x))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
cost-diff	0	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
cost-diff	0	#s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	192
0	50	192
1	105	191
2	202	191
3	486	183
4	1608	182
5	4308	181
0	8022	174

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
#s(literal -1/4 binary64)
(*.f64 y y)
y
#s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)
(fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (* (- y 1) x) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y

Outputs
#s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
#s(literal -1/4 binary64)
(*.f64 y y)
y
#s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)
(fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 x y)))
#s(approx (* (- y 1) x) (*.f64 y x))
#s(approx (* (- y 1) x) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y

localize149.0ms (2.5%)

Memory

-9.8MiB live, 113.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
accuracy	27.839450485708657	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
accuracy	31.827018072699225	#s(approx (- x 1/2) #s(literal -1/2 binary64))
accuracy	0	(*.f64 y x)
accuracy	27.6540870161511	#s(approx (* (- y 1) x) (*.f64 y x))
accuracy	31.057490981586355	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
accuracy	0	(neg.f64 x)
accuracy	30.962430673722356	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
accuracy	35.27942290302477	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
accuracy	31.80995817715182	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	35.27942290302477	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
accuracy	18.239514110758982	(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	31.816953799898805	#s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))

Samples

100.0ms

256×

valid

Compiler

Compiled 226 to 58 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 25.0ms (50.6% of total)

const: 9.0ms (18.2% of total)

ival-sub: 7.0ms (14.2% of total)

ival-add: 4.0ms (8.1% of total)

ival-div: 3.0ms (6.1% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series18.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated

Counts

15 → 276

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (patch #s(approx (/ (- ( (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (patch #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) (patch #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (.f64 y x))) (patch #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (* (- y 1) x) (.f64 y x)) (patch #s(approx ( (- y 1) x) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (patch #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) (patch (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (- x 1/2) #s(literal -1/2 binary64)) (patch #s(approx (- x 1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (patch #s(approx (/ (- ( (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (* 2 x) (+ 1/2 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (patch #s(approx (/ (- ( (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (+ (* 2 x) (* y (- (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 1/2 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (patch #s(approx (/ (- ( (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (+ (* 2 x) (* y (- (+ (* -1 (/ (* y (* (+ 1/2 x) (- (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x)))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 1/2 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (patch #s(approx (/ (- ( (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt 918938533204673/1000000000000000 (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1/2 y)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1/2 y)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1/2 y)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt 844448027808355901771309036929/1000000000000000000000000000000 (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/ (+ (* -1/4 (* y y)) 844448027808355901771309036929/1000000000000000000000000000000) (+ (* 1/2 y) 918938533204673/1000000000000000)) (+ (* -1/4 (* y y)) 844448027808355901771309036929/1000000000000000000000000000000) (* y y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2))
2.0ms	y	@	inf	((/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/ (+ (* -1/4 (* y y)) 844448027808355901771309036929/1000000000000000000000000000000) (+ (* 1/2 y) 918938533204673/1000000000000000)) (+ (* -1/4 (* y y)) 844448027808355901771309036929/1000000000000000000000000000000) (* y y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2))
1.0ms	y	@	0	((/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/ (+ (* -1/4 (* y y)) 844448027808355901771309036929/1000000000000000000000000000000) (+ (* 1/2 y) 918938533204673/1000000000000000)) (+ (* -1/4 (* y y)) 844448027808355901771309036929/1000000000000000000000000000000) (* y y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2))
1.0ms	x	@	-inf	((/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/ (+ (* -1/4 (* y y)) 844448027808355901771309036929/1000000000000000000000000000000) (+ (* 1/2 y) 918938533204673/1000000000000000)) (+ (* -1/4 (* y y)) 844448027808355901771309036929/1000000000000000000000000000000) (* y y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2))
1.0ms	x	@	inf	((/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/ (+ (* -1/4 (* y y)) 844448027808355901771309036929/1000000000000000000000000000000) (+ (* 1/2 y) 918938533204673/1000000000000000)) (+ (* -1/4 (* y y)) 844448027808355901771309036929/1000000000000000000000000000000) (* y y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2))

simplify264.0ms (4.5%)

Memory

-10.2MiB live, 228.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	3357
1	1029	3095
2	3546	2872
0	8268	2697

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

Calls

Call 1

Inputs
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (* 2 x) (+ 1/2 x)))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (+ (* 2 x) (* y (- (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 1/2 x)))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (+ (* 2 x) (* y (- (+ (* -1 (/ (* y (* (+ 1/2 x) (- (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x)))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 1/2 x)))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
844448027808355901771309036929/1000000000000000000000000000000
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 (pow y 2)))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 (pow y 2)))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 (pow y 2)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(/ (* y (- (pow x 2) 1/4)) (+ 1/2 x))
(* y (- (+ (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (* y (+ 1/2 x)))) (/ (pow x 2) (+ 1/2 x))) (+ (* 1/4 (/ 1 (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (* y (pow (+ 1/2 x) 2))))))
(* y (- (+ (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (* y (+ 1/2 x)))) (+ (/ (pow x 2) (+ 1/2 x)) (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (* (pow y 2) (+ 1/2 x))))) (+ (* 1/4 (/ 1 (+ 1/2 x))) (+ (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (+ 1/2 x) 2)))) (* (pow y 2) (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (* y (pow (+ 1/2 x) 2)))))))
(* y (- (+ (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (+ 1/2 x)) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (+ 1/2 x) 2)))) (+ 1/2 x)))) (* (pow y 3) (+ 1/2 x)))) (+ (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (* y (+ 1/2 x)))) (+ (/ (pow x 2) (+ 1/2 x)) (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (* (pow y 2) (+ 1/2 x)))))) (+ (* 1/4 (/ 1 (+ 1/2 x))) (+ (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (+ 1/2 x) 2)))) (* (pow y 2) (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (* y (pow (+ 1/2 x) 2)))))))
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* -1/4 (pow y 2))
(* (pow y 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow y 2))) 1/4))
(* (pow y 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow y 2))) 1/4))
(* (pow y 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow y 2))) 1/4))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1 (/ (* y (- (pow x 2) 1/4)) (- (* -1 x) 1/2)))
(* -1 (* y (- (+ (* -1 (/ (- (* -2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (- (* -1 x) 1/2))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (- (* -1 x) 1/2) 2))) y)) (/ (pow x 2) (- (* -1 x) 1/2))) (* 1/4 (/ 1 (- (* -1 x) 1/2))))))
(* -1 (* y (- (+ (* -1 (/ (- (+ (* -2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (- (* -1 x) 1/2))) (* -1 (/ (- (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (- (* -1 x) 1/2)) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (* -2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (- (* -1 x) 1/2))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (- (* -1 x) 1/2) 2)))) (- (* -1 x) 1/2))) y))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (- (* -1 x) 1/2) 2))) y)) (/ (pow x 2) (- (* -1 x) 1/2))) (* 1/4 (/ 1 (- (* -1 x) 1/2))))))
(* -1 (* y (- (+ (* -1 (/ (- (+ (* -2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (- (* -1 x) 1/2))) (* -1 (/ (- (+ (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (- (* -1 x) 1/2)) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (* -2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (- (* -1 x) 1/2))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (- (* -1 x) 1/2) 2)))) (- (* -1 x) 1/2)))) (* y (- (* -1 x) 1/2))) (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (- (* -1 x) 1/2))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (* -2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (- (* -1 x) 1/2))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (- (* -1 x) 1/2) 2)))) (- (* -1 x) 1/2))) y))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (- (* -1 x) 1/2) 2))) y)) (/ (pow x 2) (- (* -1 x) 1/2))) (* 1/4 (/ 1 (- (* -1 x) 1/2))))))
(* -1/2 y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1/4 (pow y 2))
(* (pow y 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow y 2))) 1/4))
(* (pow y 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow y 2))) 1/4))
(* (pow y 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow y 2))) 1/4))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- 918938533204673/1000000000000000 (* -1/2 y)))
(- (+ (* x (- (* 918938533204673/500000000000000 (/ (- y 1) (- 918938533204673/1000000000000000 (* -1/2 y)))) (/ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1)) (pow (- 918938533204673/1000000000000000 (* -1/2 y)) 2)))) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (- 918938533204673/1000000000000000 (* -1/2 y))))) (* 1/4 (/ (pow y 2) (- 918938533204673/1000000000000000 (* -1/2 y)))))
(- (+ (* x (- (+ (* 918938533204673/500000000000000 (/ (- y 1) (- 918938533204673/1000000000000000 (* -1/2 y)))) (* x (- (/ (pow (- y 1) 2) (- 918938533204673/1000000000000000 (* -1/2 y))) (/ (* (- y 1) (- (* 918938533204673/500000000000000 (/ (- y 1) (- 918938533204673/1000000000000000 (* -1/2 y)))) (/ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1)) (pow (- 918938533204673/1000000000000000 (* -1/2 y)) 2)))) (- 918938533204673/1000000000000000 (* -1/2 y)))))) (/ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1)) (pow (- 918938533204673/1000000000000000 (* -1/2 y)) 2)))) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (- 918938533204673/1000000000000000 (* -1/2 y))))) (* 1/4 (/ (pow y 2) (- 918938533204673/1000000000000000 (* -1/2 y)))))
(- (+ (* x (- (+ (* 918938533204673/500000000000000 (/ (- y 1) (- 918938533204673/1000000000000000 (* -1/2 y)))) (* x (- (+ (* -1 (/ (* x (* (- y 1) (- (/ (pow (- y 1) 2) (- 918938533204673/1000000000000000 (* -1/2 y))) (/ (* (- y 1) (- (* 918938533204673/500000000000000 (/ (- y 1) (- 918938533204673/1000000000000000 (* -1/2 y)))) (/ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1)) (pow (- 918938533204673/1000000000000000 (* -1/2 y)) 2)))) (- 918938533204673/1000000000000000 (* -1/2 y)))))) (- 918938533204673/1000000000000000 (* -1/2 y)))) (/ (pow (- y 1) 2) (- 918938533204673/1000000000000000 (* -1/2 y)))) (/ (* (- y 1) (- (* 918938533204673/500000000000000 (/ (- y 1) (- 918938533204673/1000000000000000 (* -1/2 y)))) (/ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1)) (pow (- 918938533204673/1000000000000000 (* -1/2 y)) 2)))) (- 918938533204673/1000000000000000 (* -1/2 y)))))) (/ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1)) (pow (- 918938533204673/1000000000000000 (* -1/2 y)) 2)))) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (- 918938533204673/1000000000000000 (* -1/2 y))))) (* 1/4 (/ (pow y 2) (- 918938533204673/1000000000000000 (* -1/2 y)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x y)
(* x y)
(* x y)
(* x y)
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
(* x (- y 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (+ (* 918938533204673/1000000000000000 (/ 1 x)) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (* (pow x 2) (- y 1))))))) (+ 1 (+ (* 1/4 (/ (pow y 2) (* (pow x 2) (- y 1)))) (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (* (pow x 2) (- y 1)))))))
(* x (- (+ y (+ (* -1 (/ (* (- 918938533204673/1000000000000000 (* -1/2 y)) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (- y 1))) (+ (* 1/4 (/ (pow y 2) (- y 1))) (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (- y 1))))) (* (pow x 3) (- y 1)))) (+ (* -1/2 (/ y x)) (+ (* 918938533204673/1000000000000000 (/ 1 x)) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (* (pow x 2) (- y 1)))))))) (+ 1 (+ (* 1/4 (/ (pow y 2) (* (pow x 2) (- y 1)))) (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (* (pow x 2) (- y 1)))))))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (+ (* -1 (/ (- (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1))) (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (- y 1)))) x)) (* -1/2 y))) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (+ (* -1 (/ (- (+ (* -1 (/ (* (- 918938533204673/1000000000000000 (* -1/2 y)) (- (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1))) (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (- y 1))))) (* x (- y 1)))) (* -1 (/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* 1/4 (pow y 2))) (- y 1)))) (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1/2 y)) (- 918938533204673/1000000000000000 (* -1/2 y))) (- y 1)))) x)) (* -1/2 y))) x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))

Outputs
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (* 2 x) (+ 1/2 x)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (+ (* 2 x) (* y (- (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 1/2 x)))))
(fma.f64 (fma.f64 (fma.f64 x (/.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) y (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x))) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- (+ (* 2 x) (* y (- (+ (* -1 (/ (* y (* (+ 1/2 x) (- (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (pow x 2) (+ 918938533204673/1000000000000000 (* -1 x)))) (+ (* 1/4 (/ 1 (+ 918938533204673/1000000000000000 (* -1 x)))) (/ (* (+ 1/2 x) (- (* 2 x) (+ 1/2 x))) (+ 918938533204673/1000000000000000 (* -1 x))))))) (+ 1/2 x)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) x) y) (/.f64 (fma.f64 x (/.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (fma.f64 x (/.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) y (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1/2 binary64) x))) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
844448027808355901771309036929/1000000000000000000000000000000
#s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(/ (* y (- (pow x 2) 1/4)) (+ 1/2 x))
(*.f64 (fma.f64 x x #s(literal -1/4 binary64)) (/.f64 y (+.f64 #s(literal 1/2 binary64) x)))
(* y (- (+ (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (* y (+ 1/2 x)))) (/ (pow x 2) (+ 1/2 x))) (+ (* 1/4 (/ 1 (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (* y (pow (+ 1/2 x) 2))))))
(.f64 (fma.f64 x (/.f64 x (+.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 (.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x)) (-.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 #s(literal -1/2 binary64) x)))) y) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) x)))) y)
(* y (- (+ (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (* y (+ 1/2 x)))) (+ (/ (pow x 2) (+ 1/2 x)) (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (* (pow y 2) (+ 1/2 x))))) (+ (* 1/4 (/ 1 (+ 1/2 x))) (+ (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (+ 1/2 x) 2)))) (* (pow y 2) (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (* y (pow (+ 1/2 x) 2)))))))
(.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y)) (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (/.f64 (/.f64 (.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x)) (-.f64 (.f64 #s(literal -2 binary64) x) (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 #s(literal -1/2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (/.f64 (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (pow.f64 (+.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))) y)
(* y (- (+ (* -1 (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (+ 1/2 x)) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (+ 1/2 x) 2)))) (+ 1/2 x)))) (* (pow y 3) (+ 1/2 x)))) (+ (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (* y (+ 1/2 x)))) (+ (/ (pow x 2) (+ 1/2 x)) (/ (pow (+ 918938533204673/1000000000000000 (* -1 x)) 2) (* (pow y 2) (+ 1/2 x)))))) (+ (* 1/4 (/ 1 (+ 1/2 x))) (+ (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (* 2 (/ (* x (+ 918938533204673/1000000000000000 (* -1 x))) (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (pow (+ 1/2 x) 2)))) (* (pow y 2) (+ 1/2 x))) (/ (* (+ 918938533204673/1000000000000000 (* -1 x)) (- (pow x 2) 1/4)) (* y (pow (+ 1/2 x) 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 1/2 binary64) x)) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x)) (-.f64 (.f64 #s(literal -2 binary64) x) (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 #s(literal -1/2 binary64) x)))))) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y)) (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (/.f64 (/.f64 (.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x)) (-.f64 (.f64 #s(literal -2 binary64) x) (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 #s(literal -1/2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) x)) (.f64 y y)) (/.f64 (/.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (pow.f64 (+.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))))) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) y)
(* -1/4 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/4 binary64))
(* (pow y 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow y 2))) 1/4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) y) y)
(* (pow y 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow y 2))) 1/4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) y) y)
(* (pow y 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow y 2))) 1/4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) y) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
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(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (neg.f64 x))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (neg.f64 x))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) y) x)
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)

rewrite242.0ms (4.1%)

Memory

2.1MiB live, 241.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	177
0	50	171
1	245	155
2	1901	155
0	8373	145

Stop Event

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

Counts

15 → 111

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
(*.f64 y y)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (* (- y 1) x) (*.f64 y x))
(*.f64 y x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
#s(approx (- x 1/2) #s(literal -1/2 binary64))

Outputs
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eval89.0ms (1.5%)

Memory: 17.3MiB live, 92.1MiB allocated
Compiler: Compiled 5 305 to 680 computations (87.2% saved)

prune29.0ms (0.5%)

Memory

-5.7MiB live, 39.0MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	385	0	385
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	385	9	394

Accuracy

100.0%

Counts

394 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.2%	#s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
✓	50.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	44.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	51.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	56.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	30.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	26.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	21.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
✓	27.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))

Compiler

Compiled 141 to 101 computations (28.4% saved)

regimes29.0ms (0.5%)

Memory

-7.1MiB live, 32.6MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (/ (- (* (+ (* (- y 1) x) 918938533204673/1000000000000000) (+ (* (- y 1) x) 918938533204673/1000000000000000)) (* 1/4 (* y y))) (- (+ (* (- y 1) x) 918938533204673/1000000000000000) (* -1/2 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y)))

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Calls

4 calls:

16.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes28.0ms (0.5%)

Memory

-12.7MiB live, 27.0MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Calls

4 calls:

18.0ms	y
3.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
3.0ms	x
3.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
98.5%	3	`x`
97.9%	3	`y`
81.9%	5	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
81.9%	5	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
97.9%	3	`y`
81.5%	6	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes42.0ms (0.7%)

Memory

-16.5MiB live, 23.3MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

Calls

4 calls:

33.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
3.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
80.7%	6	`x`
70.8%	5	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
70.8%	5	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
80.6%	6	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

5 → 6

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
78.9%	6	`y`
61.6%	6	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
69.5%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Calls

4 calls:

2.0ms	y
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms	x

Results

Accuracy	Segments	Branch
44.9%	1	`x`
44.9%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
44.9%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
44.9%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes46.0ms (0.8%)

Memory

-18.6MiB live, 27.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

Calls

4 calls:

41.0ms	x
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	y
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
28.0%	2	`y`
44.2%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
44.2%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
44.4%	3	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Calls

4 calls:

1.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
21.0%	1	`y`
21.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
21.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
21.0%	1	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

bsearch50.0ms (0.8%)

Memory

-16.9MiB live, 59.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.001598681972949516	515271.9555010014
27.0ms	-156210461477813.72	-0.24456027471631173

Samples

34.0ms

304×

valid

Compiler

Compiled 223 to 281 computations (-26% saved)

Precisions

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

const: 19.0ms (69.2% of total)

ival-mult: 4.0ms (14.6% of total)

ival-sub: 3.0ms (10.9% of total)

ival-add: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0.7%)

Memory

-8.7MiB live, 71.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.4811567750728525e-9	4.780595301222478
18.0ms	-189.05241258530268	-1.5910112871522437e-5

Samples

22.0ms

288×

valid

Compiler

Compiled 194 to 249 computations (-28.4% saved)

Precisions

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

const: 5.0ms (39.7% of total)

ival-sub: 3.0ms (23.8% of total)

ival-mult: 3.0ms (23.8% of total)

ival-add: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch62.0ms (1.1%)

Memory

32.4MiB live, 108.0MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	5.926759541465882e+248	2.286447232880196e+251
1.0ms	0.001598681972949516	515271.9555010014
15.0ms	-0.24456027471631173	-3.080117735978783e-7
13.0ms	-9.711995224874754e+70	-7.004859206169865e+69
11.0ms	-2.5169752459819803e+185	-1.3803323770574688e+184

Samples

38.0ms

480×

valid

Compiler

Compiled 374 to 501 computations (-34% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

const: 11.0ms (44.9% of total)

ival-mult: 6.0ms (24.5% of total)

ival-sub: 5.0ms (20.4% of total)

ival-add: 2.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch81.0ms (1.4%)

Memory

-8.1MiB live, 147.5MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	1.7406846670168798e+102	3.7364974163287177e+108
11.0ms	3.4811567750728525e-9	4.780595301222478
12.0ms	-189.05241258530268	-1.5910112871522437e-5
19.0ms	-3.7109601854042473e+87	-1.2743174632806114e+80
15.0ms	-9.720753679919045e+235	-5.380823181259561e+234

Samples

46.0ms

592×

valid

Compiler

Compiled 426 to 574 computations (-34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

const: 12.0ms (36.8% of total)

ival-mult: 11.0ms (33.7% of total)

ival-sub: 6.0ms (18.4% of total)

ival-add: 3.0ms (9.2% of total)

exact: 1.0ms (3.1% of total)

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

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

bsearch17.0ms (0.3%)

Memory

-7.0MiB live, 31.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.4811567750728525e-9	4.780595301222478
15.0ms	-3.1748314611799548e+22	-7.563746057879486e+20

Samples

11.0ms

112×

valid

Compiler

Compiled 158 to 207 computations (-31% saved)

Precisions

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

ival-mult: 4.0ms (49.9% of total)

const: 2.0ms (25% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.5%)

Memory

18.7MiB live, 63.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	515271.9555010014	52323818156.86643
9.0ms	-156210461477813.72	-0.24456027471631173

Samples

15.0ms

224×

valid

Compiler

Compiled 147 to 243 computations (-65.3% saved)

Precisions

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

const: 4.0ms (41% of total)

ival-mult: 3.0ms (30.7% of total)

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

ival-add: 1.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify30.0ms (0.5%)

Memory

-30.0MiB live, 88.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	547
1	111	547
2	129	547
3	141	547
4	163	547
5	196	547

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -5/4 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 x #s(literal -239999999999999989069750720786425477479223738866811771029157755883482943746604586015682487239056873081061842449737069242182642292874579423131599339301150761966739322893760864381271277568 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal -9200000000000000667289214710068963160657044568748001990767533430407168 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (.f64 y x))) (if (<=.f64 x #s(literal -8116567392432203/18446744073709551616 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 x #s(literal 11000000000000000721843690431287678825649466648730061193204450993887583684692556541734697106725821161340891129763949977710881498148214409932407348701602957624956923400949751191113427967465709360726261155468018094811571468475829570283012486141810049024 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (.f64 y x))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))))
(if (<=.f64 y #s(literal -37499999999999997757704799287410593411463841350227333623057780924048306183492724685690520550762143550035574813951924896014265921841706334839439262341240093097792256259584178529242427840036443758184880449179013666406099271387051219484672 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal -9999999999999999634067965630886574211027143225273567793680363843427086501542887424 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (.f64 y x))) (if (<=.f64 y #s(literal -64 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 13999999999999999644875205637569221131689805204954282958988925392028263544579508329510812325888892120072192 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))))))))
(if (<=.f64 y #s(literal -760000000000000000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (.f64 y x))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 520000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -5/4 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 x #s(literal -239999999999999989069750720786425477479223738866811771029157755883482943746604586015682487239056873081061842449737069242182642292874579423131599339301150761966739322893760864381271277568 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal -9200000000000000667289214710068963160657044568748001990767533430407168 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (.f64 y x))) (if (<=.f64 x #s(literal -8116567392432203/18446744073709551616 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 x #s(literal 11000000000000000721843690431287678825649466648730061193204450993887583684692556541734697106725821161340891129763949977710881498148214409932407348701602957624956923400949751191113427967465709360726261155468018094811571468475829570283012486141810049024 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (.f64 y x))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))))
(if (<=.f64 y #s(literal -37499999999999997757704799287410593411463841350227333623057780924048306183492724685690520550762143550035574813951924896014265921841706334839439262341240093097792256259584178529242427840036443758184880449179013666406099271387051219484672 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal -9999999999999999634067965630886574211027143225273567793680363843427086501542887424 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (.f64 y x))) (if (<=.f64 y #s(literal -64 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 13999999999999999644875205637569221131689805204954282958988925392028263544579508329510812325888892120072192 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))))))))
(if (<=.f64 y #s(literal -760000000000000000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (.f64 y x))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 520000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

soundness713.0ms (12.1%)

Memory

16.9MiB live, 501.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	4337
1	1336	4014
2	4536	3947
0	8224	3658
0	76	582
1	232	520
2	695	520
3	1797	520
4	6379	520
0	8166	501

Stop Event

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

Compiler

Compiled 277 to 179 computations (35.4% saved)

preprocess54.0ms (0.9%)

Memory: 13.6MiB live, 132.1MiB allocated
Compiler: Compiled 430 to 180 computations (58.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (21.5%)

explain261.0ms (4.4%)

preprocess148.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify49.0ms (0.8%)

localize26.0ms (0.4%)

series39.0ms (0.7%)

simplify176.0ms (3%)

rewrite260.0ms (4.4%)

eval97.0ms (1.6%)

prune11.0ms (0.2%)

simplify293.0ms (5%)

localize92.0ms (1.6%)

series52.0ms (0.9%)

simplify206.0ms (3.5%)

rewrite261.0ms (4.4%)

eval349.0ms (5.9%)

prune39.0ms (0.7%)

simplify226.0ms (3.8%)

localize149.0ms (2.5%)

series18.0ms (0.3%)

simplify264.0ms (4.5%)

rewrite242.0ms (4.1%)

eval89.0ms (1.5%)

prune29.0ms (0.5%)

regimes29.0ms (0.5%)

regimes28.0ms (0.5%)

regimes7.0ms (0.1%)

regimes42.0ms (0.7%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes46.0ms (0.8%)

regimes6.0ms (0.1%)

bsearch50.0ms (0.8%)

bsearch40.0ms (0.7%)

bsearch62.0ms (1.1%)

bsearch81.0ms (1.4%)

bsearch17.0ms (0.3%)

bsearch31.0ms (0.5%)

simplify30.0ms (0.5%)

soundness713.0ms (12.1%)

preprocess54.0ms (0.9%)

end0.0ms (0%)

Profiling