Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, D

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze28.0ms (0.5%)

Memory

-18.6MiB live, 26.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample849.0ms (15.8%)

Memory

32.3MiB live, 859.4MiB allocated

Samples

597.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-div: 126.0ms (51.1% of total)

ival-sub: 71.0ms (28.8% of total)

ival-add: 40.0ms (16.2% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain216.0ms (4%)

Memory

5.1MiB live, 80.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (-.f64 x y) (+.f64 x y))`
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`(+.f64 x y)`
-	-	`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

20.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

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

ival-sub: 3.0ms (32.1% of total)

ival-div: 3.0ms (32.1% of total)

ival-add: 3.0ms (32.1% of total)

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

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

preprocess274.0ms (5.1%)

Memory

-16.9MiB live, 72.0MiB allocated

Algorithm

1×	egg-herbie

Rules

410×	`times-frac`
304×	`lower-fma.f64`
304×	`lower-fma.f32`
228×	`associate-l`
182×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	50	37
2	122	35
3	313	35
4	821	35
5	1352	35
6	1401	35
7	1441	35
8	1484	35
9	1496	35
0	5	7
0	8	7
1	14	7
2	21	7
3	33	7
4	60	7
5	104	7
6	171	7
7	279	7
8	458	7
9	773	7
10	781	7
11	819	7
12	848	7
0	848	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (-.f64 x y) (+.f64 y x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify21.0ms (0.4%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (+.f64 x y))

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
142×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 y x)

localize105.0ms (2%)

Memory

-7.2MiB live, 32.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0.03125	(/.f64 (-.f64 x y) (+.f64 x y))

Samples

100.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (44.2% of total)

ival-sub: 1.0ms (22.1% of total)

ival-add: 1.0ms (22.1% of total)

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

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

series5.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())

#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

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

Calls

6 calls:

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

simplify272.0ms (5.1%)

Memory

-10.8MiB live, 110.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 876×	`lower-fma.f64`
11 876×	`lower-fma.f32`
3 410×	`lower-*.f64`
3 410×	`lower-*.f32`
2 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	462
1	439	441
2	1225	387
3	4744	375
0	8365	351

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 63

Calls

Call 1

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

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

rewrite331.0ms (6.2%)

Memory

10.5MiB live, 87.5MiB allocated

Rules

3 962×	`lower-*.f64`
3 962×	`lower-*.f32`
3 438×	`lower-/.f32`
3 436×	`lower-/.f64`
2 768×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	39	13
2	309	13
3	5153	13
0	8671	13

Stop Event

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

Counts

3 → 497

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
(+.f64 x y)

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

eval466.0ms (8.7%)

Memory: -34.4MiB live, 49.5MiB allocated
Compiler: Compiled 12 341 to 1 248 computations (89.9% saved)

prune12.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	551	9	560
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	551	10	561

Accuracy

100.0%

Counts

561 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.3%	(/.f64 (-.f64 (+.f64 y x) (.f64 (/.f64 (+.f64 y x) x) y)) (.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	46.1%	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
▶	53.3%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y)))
	47.4%	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
▶	48.8%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
	53.3%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
	47.0%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
▶	52.2%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 179 to 123 computations (31.3% saved)

simplify206.0ms (3.8%)

Memory

-9.4MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 y x))
cost-diff	1152	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
cost-diff	0	(+.f64 x y)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
cost-diff	0	(-.f64 x y)
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) (-.f64 x y))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y)))

Rules

8 862×	`lower-fma.f32`
8 860×	`lower-fma.f64`
2 820×	`lower-*.f32`
2 816×	`lower-*.f64`
1 620×	`lower--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	40	121
1	75	121
2	182	117
3	476	117
4	1297	117
5	4333	117
6	7620	117
0	8115	117

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (2.9%)

Memory

-13.1MiB live, 25.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (+.f64 y x) (-.f64 y x))
accuracy	0	(neg.f64 (+.f64 y x))
accuracy	0.015625	(*.f64 (+.f64 y x) (neg.f64 (+.f64 y x)))
accuracy	33.881625964225	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
accuracy	0	(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
accuracy	0	(/.f64 y x)
accuracy	32.784813176246054	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.03125	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
accuracy	29.96466240265839	#s(approx (- x y) (neg.f64 y))
accuracy	30.61998470229269	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 y x)
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y)))
accuracy	0.02734375	(/.f64 (+.f64 y x) (-.f64 x y))

Samples

34.0ms

256×

valid

Compiler

Compiled 116 to 22 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 8.0ms (37.5% of total)

ival-mult: 5.0ms (23.4% of total)

ival-add: 4.0ms (18.8% of total)

ival-sub: 2.0ms (9.4% of total)

ival-neg: 2.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (1%)

Memory

-9.2MiB live, 36.6MiB allocated

Counts

17 → 396

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((/ 1 (/ (+ y x) (- x y))) (/ (+ y x) (- x y)) (+ y x) (- x y) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (* (+ y x) (- y x)) (* (+ y x) (neg (+ y x)))) (* (+ y x) (- y x)) (- y x) (* (+ y x) (neg (+ y x))) (neg (+ y x)))
2.0ms	x	@	0	((/ 1 (/ (+ y x) (- x y))) (/ (+ y x) (- x y)) (+ y x) (- x y) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (* (+ y x) (- y x)) (* (+ y x) (neg (+ y x)))) (* (+ y x) (- y x)) (- y x) (* (+ y x) (neg (+ y x))) (neg (+ y x)))
2.0ms	y	@	inf	((/ 1 (/ (+ y x) (- x y))) (/ (+ y x) (- x y)) (+ y x) (- x y) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (* (+ y x) (- y x)) (* (+ y x) (neg (+ y x)))) (* (+ y x) (- y x)) (- y x) (* (+ y x) (neg (+ y x))) (neg (+ y x)))
2.0ms	y	@	0	((/ 1 (/ (+ y x) (- x y))) (/ (+ y x) (- x y)) (+ y x) (- x y) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (* (+ y x) (- y x)) (* (+ y x) (neg (+ y x)))) (* (+ y x) (- y x)) (- y x) (* (+ y x) (neg (+ y x))) (neg (+ y x)))
2.0ms	x	@	inf	((/ 1 (/ (+ y x) (- x y))) (/ (+ y x) (- x y)) (+ y x) (- x y) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (/ (* (+ y x) (- y x)) (* (+ y x) (neg (+ y x)))) (* (+ y x) (- y x)) (- y x) (* (+ y x) (neg (+ y x))) (neg (+ y x)))

simplify442.0ms (8.2%)

Memory

38.2MiB live, 195.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 854×	`lower-fma.f64`
13 854×	`lower-fma.f32`
4 880×	`lower-*.f64`
4 880×	`lower-*.f32`
3 792×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	3546
1	1143	3153
2	3455	2879
0	8180	2633

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 375

Calls

Call 1

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

rewrite232.0ms (4.3%)

Memory

-30.4MiB live, 331.5MiB allocated

Rules

4 146×	`lower-/.f32`
4 136×	`lower-/.f64`
3 750×	`lower-fma.f32`
3 748×	`lower-fma.f64`
3 630×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	113
0	40	102
1	158	100
2	1304	100
0	8492	100

Stop Event

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

Counts

17 → 1 390

Calls

Call 1

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

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

eval263.0ms (4.9%)

Memory: 41.3MiB live, 700.3MiB allocated
Compiler: Compiled 47 050 to 4 291 computations (90.9% saved)

prune44.0ms (0.8%)

Memory

5.8MiB live, 167.6MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	2 067	4	2 071
Fresh	3	1	4
Picked	1	4	5
Done	0	1	1
Total	2 071	10	2 081

Accuracy

100.0%

Counts

2 081 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	90.4%	(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y))
▶	85.9%	(/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
✓	53.3%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y)))
▶	47.4%	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
✓	48.8%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	53.3%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
▶	47.0%	#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)))
✓	52.2%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 130 to 105 computations (19.2% saved)

simplify159.0ms (3%)

Memory

-23.7MiB live, 266.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff	0	#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
cost-diff	0	(/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
cost-diff	1024	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 y x))
cost-diff	0	(-.f64 x y)
cost-diff	320	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
cost-diff	704	(/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y))
cost-diff	1024	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)

Rules

15 670×	`lower-fma.f32`
15 668×	`lower-fma.f64`
3 294×	`lower-*.f32`
3 286×	`lower-*.f64`
1 880×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	192
0	50	196
1	85	196
2	171	190
3	374	184
4	1164	154
5	4525	154
0	8264	152

Stop Event

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

Calls

Call 1

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

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

localize62.0ms (1.1%)

Memory

0.8MiB live, 119.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy	0.03125	(/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
accuracy	8.63685126860907	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 (+.f64 y x) (-.f64 y x))
accuracy	0.197597509768442	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
accuracy	32.32144679510436	(/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x)))
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
accuracy	29.879848166129317	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
accuracy	32.784813176246054	#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)))
accuracy	33.48840886386557	#s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0.03125	(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y))
accuracy	5.836957657130872	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)

Samples

46.0ms

256×

valid

Compiler

Compiled 144 to 26 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 11.0ms (35.4% of total)

ival-mult: 9.0ms (29% of total)

ival-sub: 6.0ms (19.3% of total)

ival-add: 4.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.6%)

Memory

18.3MiB live, 56.1MiB allocated

Counts

19 → 456

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((* (- (/ x y) 1) y) (/ (- x y) (+ x y)) (- x y) (- (/ x y) 1) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (/ (- x y) (* (+ y x) (- y x))) (* (/ (- x y) (* (+ y x) (- y x))) (- y x)) (- x y) (* (+ y x) (- y x)) (* (- 1 (/ y x)) x) (/ (- x y) (+ x y)) (- x y) (- 1 (/ y x)) (+ x y) (+ y x))
2.0ms	x	@	inf	((* (- (/ x y) 1) y) (/ (- x y) (+ x y)) (- x y) (- (/ x y) 1) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (/ (- x y) (* (+ y x) (- y x))) (* (/ (- x y) (* (+ y x) (- y x))) (- y x)) (- x y) (* (+ y x) (- y x)) (* (- 1 (/ y x)) x) (/ (- x y) (+ x y)) (- x y) (- 1 (/ y x)) (+ x y) (+ y x))
2.0ms	x	@	-inf	((* (- (/ x y) 1) y) (/ (- x y) (+ x y)) (- x y) (- (/ x y) 1) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (/ (- x y) (* (+ y x) (- y x))) (* (/ (- x y) (* (+ y x) (- y x))) (- y x)) (- x y) (* (+ y x) (- y x)) (* (- 1 (/ y x)) x) (/ (- x y) (+ x y)) (- x y) (- 1 (/ y x)) (+ x y) (+ y x))
2.0ms	y	@	inf	((* (- (/ x y) 1) y) (/ (- x y) (+ x y)) (- x y) (- (/ x y) 1) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (/ (- x y) (* (+ y x) (- y x))) (* (/ (- x y) (* (+ y x) (- y x))) (- y x)) (- x y) (* (+ y x) (- y x)) (* (- 1 (/ y x)) x) (/ (- x y) (+ x y)) (- x y) (- 1 (/ y x)) (+ x y) (+ y x))
2.0ms	y	@	0	((* (- (/ x y) 1) y) (/ (- x y) (+ x y)) (- x y) (- (/ x y) 1) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (/ (- x y) (* (+ y x) (- y x))) (* (/ (- x y) (* (+ y x) (- y x))) (- y x)) (- x y) (* (+ y x) (- y x)) (* (- 1 (/ y x)) x) (/ (- x y) (+ x y)) (- x y) (- 1 (/ y x)) (+ x y) (+ y x))

simplify127.0ms (2.4%)

Memory

3.5MiB live, 195.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 612×	`lower-fma.f64`
6 612×	`lower-fma.f32`
3 628×	`lower-*.f64`
3 628×	`lower-*.f32`
2 726×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	3968
1	1156	3384
2	4082	3195
0	8883	2973

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 429

Calls

Call 1

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

rewrite184.0ms (3.4%)

Memory

-23.1MiB live, 335.2MiB allocated

Rules

5 048×	`lower-/.f32`
5 038×	`lower-/.f64`
4 702×	`lower-*.f32`
4 694×	`lower-*.f64`
3 540×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	167
0	50	167
1	190	159
2	1658	159
0	8639	157

Stop Event

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

Counts

19 → 662

Calls

Call 1

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

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

eval209.0ms (3.9%)

Memory: 1.4MiB live, 355.9MiB allocated
Compiler: Compiled 24 322 to 2 847 computations (88.3% saved)

prune52.0ms (1%)

Memory

14.6MiB live, 93.4MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	1 207	0	1 207
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	1 207	10	1 217

Accuracy

100.0%

Counts

1 217 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	90.4%	(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (+.f64 x y))
✓	85.9%	(/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
✓	53.3%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y)))
✓	47.4%	(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
✓	48.8%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	53.3%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
✓	47.0%	#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)))
✓	52.2%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 208 to 115 computations (44.7% saved)

regimes43.0ms (0.8%)

Memory

-10.8MiB live, 28.4MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))

Calls

3 calls:

33.0ms	x
5.0ms	y
4.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes9.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
77.1%	3	`x`
77.2%	3	`y`
98.9%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
97.6%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.2%)

Memory

-61.8MiB live, 4.4MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
97.6%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.3%)

Memory

27.0MiB live, 27.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
52.2%	1	`x`
52.2%	1	`y`
52.2%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.5051686455706228	0.9612651612899397

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.5051686455706228	0.9612651612899397

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.5051686455706228	0.9612651612899397

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch16.0ms (0.3%)

Memory

-13.0MiB live, 24.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-0.5051686455706228	0.9612651612899397

Samples

4.0ms

240×

valid

Compiler

Compiled 70 to 160 computations (-128.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify25.0ms (0.5%)

Memory

25.2MiB live, 62.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`-commutative-binary64-.f64`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	144
1	38	144
2	41	144
3	42	144

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (-.f64 x y) (+.f64 y x))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 y x)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

soundness393.0ms (7.3%)

Memory

-23.3MiB live, 253.6MiB allocated

Rules

11 876×	`lower-fma.f64`
11 876×	`lower-fma.f32`
3 410×	`lower-*.f64`
3 410×	`lower-*.f32`
2 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	462
1	439	441
2	1225	387
3	4744	375
0	8365	351

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 114 to 66 computations (42.1% saved)

preprocess45.0ms (0.8%)

Memory: 33.7MiB live, 108.1MiB allocated
Compiler: Compiled 206 to 78 computations (62.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

start0.0ms (0%)

analyze28.0ms (0.5%)

sample849.0ms (15.8%)

explain216.0ms (4%)

preprocess274.0ms (5.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.4%)

localize105.0ms (2%)

series5.0ms (0.1%)

simplify272.0ms (5.1%)

rewrite331.0ms (6.2%)

eval466.0ms (8.7%)

prune12.0ms (0.2%)

simplify206.0ms (3.8%)

localize158.0ms (2.9%)

series53.0ms (1%)

simplify442.0ms (8.2%)

rewrite232.0ms (4.3%)

eval263.0ms (4.9%)

prune44.0ms (0.8%)

simplify159.0ms (3%)

localize62.0ms (1.1%)

series30.0ms (0.6%)

simplify127.0ms (2.4%)

rewrite184.0ms (3.4%)

eval209.0ms (3.9%)

prune52.0ms (1%)

regimes43.0ms (0.8%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes12.0ms (0.2%)

regimes15.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.3%)

simplify25.0ms (0.5%)

soundness393.0ms (7.3%)

preprocess45.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15