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

analyze19.0ms (0.2%)

Memory

0.4MiB live, 39.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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)

sample785.0ms (8.4%)

Memory

11.1MiB live, 1 130.0MiB allocated

Samples

422.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-sub: 77.0ms (38.9% of total)

ival-div: 61.0ms (30.8% of total)

ival-add: 51.0ms (25.8% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

preprocess289.0ms (3.1%)

Memory

-13.8MiB live, 64.8MiB 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))

explain75.0ms (0.8%)

Memory

-3.6MiB live, 43.0MiB 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

45.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-sub: 3.0ms (31.7% of total)

ival-div: 3.0ms (31.7% of total)

ival-add: 3.0ms (31.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify30.0ms (0.3%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

localize32.0ms (0.3%)

Memory

-6.3MiB live, 32.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))

Samples

27.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-sub: 4.0ms (57.3% of total)

ival-div: 2.0ms (28.6% of total)

ival-add: 1.0ms (14.3% of total)

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

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

series4.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 x y) (+.f64 x y))>
#<alt (-.f64 x y)>
#<alt (+.f64 x y)>

Outputs
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

18 calls:

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

rewrite832.0ms (8.8%)

Memory

6.2MiB live, 392.0MiB allocated

Algorithm

1×	batch-egg-rewrite

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

simplify783.0ms (8.3%)

Memory

-7.3MiB live, 398.8MiB 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	432
2	1229	387
3	4744	375
0	8368	351

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 63

Calls

Call 1

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

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

eval94.0ms (1%)

Memory: -1.3MiB live, 150.2MiB allocated
Compiler: Compiled 14 406 to 1 238 computations (91.4% saved)

prune100.0ms (1.1%)

Memory

14.2MiB live, 144.4MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	552	8	560
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	552	9	561

Accuracy

100.0%

Counts

561 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
	48.0%	(/.f64 (.f64 (-.f64 x y) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))
▶	49.1%	(/.f64 (neg.f64 y) (+.f64 x y))
▶	100.0%	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
▶	52.1%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x))
	49.4%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
	51.3%	#s(literal 1 binary64)
▶	48.0%	#s(literal -1 binary64)

Compiler

Compiled 159 to 97 computations (39% saved)

simplify262.0ms (2.8%)

Memory

2.9MiB live, 119.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x)
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(/.f64 (neg.f64 y) (+.f64 x y))
✓	cost-diff	0	(/.f64 y (+.f64 x y))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 x (+.f64 x y))
✓	cost-diff	896	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Rules

3 000×	`lower-fma.f32`
2 996×	`lower-fma.f64`
1 504×	`lower-*.f32`
1 502×	`lower-*.f64`
624×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	97
0	31	97
1	54	97
2	90	97
3	145	97
4	277	97
5	681	97
6	1609	95
7	3175	95
8	3936	95
9	4171	95
10	4204	95
11	4212	95
12	4217	93
13	4234	93
14	4404	93
15	4474	93
16	4474	93
17	4474	93
18	4482	93
19	4482	93
0	4482	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize316.0ms (3.4%)

Memory

-1.0MiB live, 118.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x))
✓	accuracy	99.9%	(*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
✓	accuracy	99.8%	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
✓	accuracy	96.6%	(/.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	99.8%	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 (neg.f64 y) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 y (+.f64 x y))
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	100.0%	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Samples

117.0ms

256×

valid

Compiler

Compiled 104 to 21 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-div: 82.0ms (86.4% of total)

ival-add: 6.0ms (6.3% of total)

ival-mult: 3.0ms (3.2% of total)

ival-sub: 2.0ms (2.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

-10.7MiB live, 27.7MiB allocated

Counts

12 → 264

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))>
#<alt (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- y (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (/ y x)>
#<alt (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))>
#<alt (* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))>
#<alt (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))>
#<alt (+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (pow y 2) x))) x)>
#<alt (/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ y (pow x 2)) (/ 1 x)))>
#<alt (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))>
#<alt (* y (- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y))))>
#<alt (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1)>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) 1)>
#<alt (- (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) 1)>
#<alt (* -1 (/ y x))>
#<alt (/ (+ (* -1 y) (/ (pow y 2) x)) x)>
#<alt (/ (+ (* -1 y) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)>
#<alt (/ (+ (* -1 y) (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (/ (pow y 2) x) (/ (pow y 4) (pow x 3))))) x)>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x))>
#<alt (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))) x))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (* -2 (/ y x))>
#<alt (* y (- (/ 1 y) (* 2 (/ 1 x))))>
#<alt (* y (- (/ 1 y) (* 2 (/ 1 x))))>
#<alt (* y (- (/ 1 y) (* 2 (/ 1 x))))>
#<alt (* -2 (/ y x))>
#<alt (* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))>
#<alt (* -2 (/ y x))>
#<alt (/ (+ x (* -2 y)) x)>
#<alt (/ (+ x (* -2 y)) x)>
#<alt (/ (+ x (* -2 y)) x)>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (* 2 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))>
#<alt (* 2 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (- (* -2 (* x y)) (* -2 (pow y 2))) (pow x 2))>
#<alt (/ (- (* x (- x (* 2 y))) (* -2 (pow y 2))) (pow x 2))>
#<alt (/ (- (* x (- x (* 2 y))) (* -2 (pow y 2))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (* 2 (/ y x)))>
#<alt (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (* 2 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* -2 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* -2 y)) x)))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* -2 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* -2 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* -2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow y 2)) (* 2 (* x y))) (pow x 2))>
#<alt (/ (+ (* -2 (pow y 2)) (* 2 (* x y))) (pow x 2))>
#<alt (/ (+ (* -2 (pow y 2)) (* 2 (* x y))) (pow x 2))>
#<alt (* 2 (/ y x))>
#<alt (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)>
#<alt (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)>
#<alt (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)>
#<alt (* 2 (/ y x))>
#<alt (* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* -2 (/ y x))))>
#<alt (* y (+ 2 (* -2 (/ y x))))>
#<alt (* y (+ 2 (* -2 (/ y x))))>
#<alt (* -2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* -2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* -2 (/ (pow y 2) x))>
#<alt (/ (+ (* -2 (pow y 2)) (* 2 (* x y))) x)>
#<alt (/ (+ (* -2 (pow y 2)) (* 2 (* x y))) x)>
#<alt (/ (+ (* -2 (pow y 2)) (* 2 (* x y))) x)>
#<alt (* 2 y)>
#<alt (+ (* -2 (/ (pow y 2) x)) (* 2 y))>
#<alt (+ (* -2 (/ (pow y 2) x)) (* 2 y))>
#<alt (+ (* -2 (/ (pow y 2) x)) (* 2 y))>
#<alt (* 2 y)>
#<alt (+ (* -2 (/ (pow y 2) x)) (* 2 y))>
#<alt (+ (* -2 (/ (pow y 2) x)) (* 2 y))>
#<alt (+ (* -2 (/ (pow y 2) x)) (* 2 y))>
#<alt 2>
#<alt (+ 2 (* -2 (/ y x)))>
#<alt (+ 2 (* -2 (/ y x)))>
#<alt (+ 2 (* -2 (/ y x)))>
#<alt (* -2 (/ y x))>
#<alt (* y (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* y (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* y (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* -2 (/ y x))>
#<alt (* -1 (* y (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ y x))>
#<alt (/ (+ (* -2 y) (* 2 x)) x)>
#<alt (/ (+ (* -2 y) (* 2 x)) x)>
#<alt (/ (+ (* -2 y) (* 2 x)) x)>
#<alt 2>
#<alt (+ 2 (* -2 (/ y x)))>
#<alt (+ 2 (* -2 (/ y x)))>
#<alt (+ 2 (* -2 (/ y x)))>
#<alt 2>
#<alt (+ 2 (* -2 (/ y x)))>
#<alt (+ 2 (* -2 (/ y x)))>
#<alt (+ 2 (* -2 (/ y x)))>

Calls

66 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(+ (* y (/ -2 x)) 1)
1.0ms	y	@	0	(+ (* y (/ -2 x)) 1)
1.0ms	y	@	inf	(- (/ x (+ x y)) (/ y (+ x y)))
0.0ms	y	@	-inf	(- (/ x (+ x y)) (/ y (+ x y)))
0.0ms	x	@	inf	(- (/ x (+ x y)) (/ y (+ x y)))

rewrite1.4s (15.3%)

Memory

6.1MiB live, 487.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 082×	`lower-*.f32`
5 080×	`lower-*.f64`
4 410×	`lower-/.f32`
4 400×	`lower-/.f64`
3 312×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
0	30	73
1	146	73
2	1278	73
0	8209	73

Stop Event

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

Counts

12 → 498

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x (+.f64 x y)) (/.f64 y (neg.f64 (+.f64 x y))))
(+.f64 (/.f64 y (neg.f64 (+.f64 x y))) (/.f64 x (+.f64 x y)))
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(-.f64 (/.f64 (.f64 x (+.f64 x y)) (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (.f64 y (+.f64 x y)) (.f64 (+.f64 x y) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (fma.f64 (/.f64 y (+.f64 x y)) #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (fma.f64 (/.f64 y (+.f64 x y)) #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 x y) (+.f64 x y))))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x y) (+.f64 x y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x (neg.f64 (+.f64 x y))) (.f64 (+.f64 x y) (neg.f64 (+.f64 x y)))) (/.f64 (.f64 (+.f64 x y) (neg.f64 y)) (.f64 (+.f64 x y) (neg.f64 (+.f64 x y)))))
(-.f64 (/.f64 (.f64 x (/.f64 (+.f64 x y) y)) (.f64 (+.f64 x y) (/.f64 (+.f64 x y) y))) (/.f64 (.f64 (+.f64 x y) #s(literal 1 binary64)) (.f64 (+.f64 x y) (/.f64 (+.f64 x y) y))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y))) (/.f64 (.f64 (/.f64 (+.f64 x y) x) y) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) (.f64 (/.f64 (+.f64 x y) x) (neg.f64 (+.f64 x y)))) (/.f64 (.f64 (/.f64 (+.f64 x y) x) (neg.f64 y)) (.f64 (/.f64 (+.f64 x y) x) (neg.f64 (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (+.f64 x y) y) (.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) y))) (/.f64 (.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) y))))
(-.f64 (/.f64 (.f64 (neg.f64 x) (+.f64 x y)) (.f64 (neg.f64 (+.f64 x y)) (+.f64 x y))) (/.f64 (.f64 (neg.f64 (+.f64 x y)) y) (.f64 (neg.f64 (+.f64 x y)) (+.f64 x y))))
(-.f64 (/.f64 (.f64 (neg.f64 x) (neg.f64 (+.f64 x y))) (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (.f64 (neg.f64 (+.f64 x y)) (neg.f64 y)) (.f64 (+.f64 x y) (+.f64 x y))))
(-.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 x y) y)) (.f64 (neg.f64 (+.f64 x y)) (/.f64 (+.f64 x y) y))) (/.f64 (.f64 (neg.f64 (+.f64 x y)) #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 x y)) (/.f64 (+.f64 x y) y))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (neg.f64 (+.f64 x y))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) (/.f64 x (+.f64 x y)))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x))) (/.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (-.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x))))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 y (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) #s(literal -4 binary64))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)) (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) (.f64 y #s(literal -2 binary64))) (.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) #s(literal -4 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) #s(literal -4 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) (.f64 y #s(literal -2 binary64))) (.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) #s(literal -4 binary64))) (neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x))) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) (.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) (/.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) (.f64 (/.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (*.f64 x x)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) (.f64 y #s(literal -2 binary64))) (*.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))))

simplify502.0ms (5.3%)

Memory

-1.8MiB live, 796.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 552×	`lower-fma.f64`
12 552×	`lower-fma.f32`
3 618×	`lower-*.f64`
3 618×	`lower-*.f32`
3 106×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	397	2626
1	1252	2507
2	3266	2244
0	8270	2122

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 258

Calls

Call 1

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

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

eval150.0ms (1.6%)

Memory: 15.1MiB live, 245.3MiB allocated
Compiler: Compiled 17 651 to 1 840 computations (89.6% saved)

prune92.0ms (1%)

Memory

-22.6MiB live, 224.7MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	871	2	873
Fresh	0	3	3
Picked	1	4	5
Done	0	1	1
Total	872	10	882

Accuracy

100.0%

Counts

882 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	48.0%	(/.f64 (.f64 (-.f64 x y) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))
✓	49.1%	(/.f64 (neg.f64 y) (+.f64 x y))
✓	100.0%	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
▶	39.9%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 #s(literal 2 binary64) (-.f64 x y))) (*.f64 x x)))
▶	49.4%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
▶	48.8%	(+.f64 #s(literal -1 binary64) (/.f64 x y))
▶	51.3%	#s(literal 1 binary64)
✓	48.0%	#s(literal -1 binary64)

Compiler

Compiled 143 to 87 computations (39.2% saved)

simplify263.0ms (2.8%)

Memory

30.7MiB live, 460.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (-.f64 x y) (+.f64 x y))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 (-.f64 x y) (-.f64 x y))
✓	cost-diff	1024	(/.f64 (.f64 (-.f64 x y) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (-.f64 x y))
✓	cost-diff	0	(.f64 y (.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	cost-diff	0	(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (-.f64 x y))) (*.f64 x x))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 #s(literal 2 binary64) (-.f64 x y))) (*.f64 x x)))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(/.f64 (+.f64 x x) y)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 x y))

Rules

6 760×	`lower-fma.f64`
6 760×	`lower-fma.f32`
3 616×	`lower-*.f32`
3 606×	`lower-*.f64`
3 364×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	113
0	35	113
1	70	107
2	183	105
3	525	105
4	1763	105
5	7519	105
0	9072	103

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (0.7%)

Memory

-3.3MiB live, 128.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
✓	accuracy	100.0%	(*.f64 (-.f64 x y) (-.f64 x y))
✓	accuracy	49.1%	(/.f64 (.f64 (-.f64 x y) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))
✓	accuracy	100.0%	(.f64 y (.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (-.f64 x y))
✓	accuracy	66.6%	(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (-.f64 x y))) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 (+.f64 x x) y)
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 x y))

Samples

36.0ms

256×

valid

Compiler

Compiled 115 to 22 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 9.0ms (39.3% of total)

ival-mult: 7.0ms (30.5% of total)

ival-add: 4.0ms (17.5% of total)

ival-sub: 2.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

-24.0MiB live, 53.0MiB allocated

Counts

15 → 336

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (* 2 (/ x y))>
#<alt (* x (- (* 2 (/ 1 y)) (/ 1 x)))>
#<alt (* x (- (* 2 (/ 1 y)) (/ 1 x)))>
#<alt (* x (- (* 2 (/ 1 y)) (/ 1 x)))>
#<alt (* 2 (/ x y))>
#<alt (* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))>
#<alt (* 2 (/ x y))>
#<alt (/ (+ (* -1 y) (* 2 x)) y)>
#<alt (/ (+ (* -1 y) (* 2 x)) y)>
#<alt (/ (+ (* -1 y) (* 2 x)) y)>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (* 2 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))>
#<alt (* 2 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (- (* -2 (* x y)) (* -2 (pow y 2))) (pow x 2))>
#<alt (/ (- (* x (- x (* 2 y))) (* -2 (pow y 2))) (pow x 2))>
#<alt (/ (- (* x (- x (* 2 y))) (* -2 (pow y 2))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (* 2 (/ y x)))>
#<alt (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (* 2 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* -2 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* -2 y)) x)))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* -2 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* -2 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* -2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow y 2)) (* 2 (* x y))) (pow x 2))>
#<alt (/ (+ (* -2 (pow y 2)) (* 2 (* x y))) (pow x 2))>
#<alt (/ (+ (* -2 (pow y 2)) (* 2 (* x y))) (pow x 2))>
#<alt (* 2 (/ y x))>
#<alt (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)>
#<alt (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)>
#<alt (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)>
#<alt (* 2 (/ y x))>
#<alt (* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* -2 y) (* 2 x)))>
#<alt (* y (+ (* -2 y) (* 2 x)))>
#<alt (* y (+ (* -2 y) (* 2 x)))>
#<alt (* -2 (pow y 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* -2 (pow y 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* -2 (pow y 2))>
#<alt (+ (* -2 (pow y 2)) (* 2 (* x y)))>
#<alt (+ (* -2 (pow y 2)) (* 2 (* x y)))>
#<alt (+ (* -2 (pow y 2)) (* 2 (* x y)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))>
#<alt (* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))>
#<alt (* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))>
#<alt (* -2 y)>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -2 (/ y x))))>
#<alt (* x (+ 2 (* -2 (/ y x))))>
#<alt (* x (+ 2 (* -2 (/ y x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ y x)) 2)))>
#<alt (* 2 x)>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (+ (* -2 y) (* 2 x))>
#<alt (* -2 y)>
#<alt (* y (- (* 2 (/ x y)) 2))>
#<alt (* y (- (* 2 (/ x y)) 2))>
#<alt (* y (- (* 2 (/ x y)) 2))>
#<alt (* -2 y)>
#<alt (* -1 (* y (+ 2 (* -2 (/ x y)))))>
#<alt (* -1 (* y (+ 2 (* -2 (/ x y)))))>
#<alt (* -1 (* y (+ 2 (* -2 (/ x y)))))>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)>
#<alt (pow y 2)>
#<alt (+ (* -2 (* x y)) (pow y 2))>
#<alt (+ (* x (+ x (* -2 y))) (pow y 2))>
#<alt (+ (* x (+ x (* -2 y))) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))>
#<alt (pow x 2)>
#<alt (+ (* -2 (* x y)) (pow x 2))>
#<alt (+ (* y (+ y (* -2 x))) (pow x 2))>
#<alt (+ (* y (+ y (* -2 x))) (pow x 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (pow x 2)>
#<alt (+ (* y (+ x (* -1 x))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

84 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+ -1 (/ x y))
2.0ms	x	@	inf	(* x x)
1.0ms	x	@	-inf	(+ -1 (/ x y))
0.0ms	y	@	0	(/ (* y (* 2 (- x y))) (* x x))
0.0ms	y	@	inf	(- 1 (/ (* y (* 2 (- x y))) (* x x)))

rewrite313.0ms (3.3%)

Memory

29.5MiB live, 421.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 334×	`lower-*.f32`
5 324×	`lower-*.f64`
4 780×	`lower-/.f32`
4 772×	`lower-/.f64`
3 882×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
0	35	93
1	152	87
2	1401	87
0	8449	85

Stop Event

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

Counts

15 → 749

Calls

Call 1

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

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

simplify415.0ms (4.4%)

Memory

0.5MiB live, 589.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 632×	`lower-fma.f64`
14 632×	`lower-fma.f32`
4 884×	`lower-+.f64`
4 884×	`lower-+.f32`
4 626×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	2574
1	961	2435
2	2878	2301
0	8193	2181

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 327

Calls

Call 1

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

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

eval187.0ms (2%)

Memory: -12.1MiB live, 305.6MiB allocated
Compiler: Compiled 29 017 to 2 919 computations (89.9% saved)

prune138.0ms (1.5%)

Memory

40.7MiB live, 349.4MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 312	1	1 313
Fresh	0	0	0
Picked	1	4	5
Done	1	4	5
Total	1 314	9	1 323

Accuracy

100.0%

Counts

1 323 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
▶	39.9%	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 1 binary64))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	48.0%	(/.f64 (.f64 (-.f64 x y) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))
✓	49.1%	(/.f64 (neg.f64 y) (+.f64 x y))
✓	49.4%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
✓	48.8%	(+.f64 #s(literal -1 binary64) (/.f64 x y))
✓	51.3%	#s(literal 1 binary64)
✓	48.0%	#s(literal -1 binary64)

Compiler

Compiled 78 to 49 computations (37.2% saved)

simplify365.0ms (3.9%)

Memory

-15.8MiB live, 325.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 x y)
✓	cost-diff	(*.f64 y (-.f64 x y))
✓	cost-diff	(/.f64 (.f64 y (-.f64 x y)) (.f64 x x))
✓	cost-diff	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 1 binary64))

Rules

6 334×	`lower-fma.f32`
6 332×	`lower-fma.f64`
3 176×	`lower-*.f32`
3 172×	`lower-*.f64`
2 014×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	36
1	31	36
2	76	36
3	186	36
4	455	36
5	1019	36
6	3278	36
7	6104	36
0	8289	35

Stop Event

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

Calls

Call 1

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

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

localize55.0ms (0.6%)

Memory

-19.3MiB live, 57.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 y (-.f64 x y))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	66.5%	(/.f64 (.f64 y (-.f64 x y)) (.f64 x x))

Samples

43.0ms

256×

valid

Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 31.0ms (87.1% of total)

ival-sub: 2.0ms (5.6% of total)

ival-div: 2.0ms (5.6% of total)

ival-add: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (* 2 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))>
#<alt (* 2 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -2 (* x y)) (* 2 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2))>
#<alt (/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))>
#<alt (/ y x)>
#<alt (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))>
#<alt (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))>
#<alt (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))>
#<alt (* -1 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (* x y)) (/ 1 (pow x 2))))>
#<alt (* (pow y 2) (- (/ 1 (* x y)) (/ 1 (pow x 2))))>
#<alt (* (pow y 2) (- (/ 1 (* x y)) (/ 1 (pow x 2))))>
#<alt (* -1 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (/ 1 (* x y)) (/ 1 (pow x 2))))>
#<alt (* (pow y 2) (- (/ 1 (* x y)) (/ 1 (pow x 2))))>
#<alt (* (pow y 2) (- (/ 1 (* x y)) (/ 1 (pow x 2))))>
#<alt (* -1 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -1 (pow y 2)) (* x y)) (pow x 2))>
#<alt (/ (+ (* -1 (pow y 2)) (* x y)) (pow x 2))>
#<alt (/ (+ (* -1 (pow y 2)) (* x y)) (pow x 2))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (pow y 2) x))) x)>
#<alt (/ (+ y (* -1 (/ (pow y 2) x))) x)>
#<alt (/ (+ y (* -1 (/ (pow y 2) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 y)))>
#<alt (* y (+ x (* -1 y)))>
#<alt (* y (+ x (* -1 y)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x y))>
#<alt (+ (* -1 (pow y 2)) (* x y))>
#<alt (+ (* -1 (pow y 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (pow y 2) x))))>
#<alt (* x (+ y (* -1 (/ (pow y 2) x))))>
#<alt (* x (+ y (* -1 (/ (pow y 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* -2 (/ (* y (- x y)) (* x x))) 1)
0.0ms	y	@	0	(+ (* -2 (/ (* y (- x y)) (* x x))) 1)
0.0ms	y	@	-inf	(/ (* y (- x y)) (* x x))
0.0ms	x	@	inf	(+ (* -2 (/ (* y (- x y)) (* x x))) 1)
0.0ms	y	@	inf	(+ (* -2 (/ (* y (- x y)) (* x x))) 1)

rewrite370.0ms (3.9%)

Memory

-2.8MiB live, 475.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 644×	`lower-fma.f32`
4 642×	`lower-fma.f64`
4 090×	`lower-*.f32`
4 086×	`lower-*.f64`
3 010×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	15	32
1	64	32
2	447	32
3	6652	32
0	8196	32

Stop Event

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

Counts

5 → 384

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (*.f64 x x)))
(+.f64 (/.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y)))) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y)))) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y (-.f64 y x)) (.f64 x x)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y)))) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y (-.f64 y x)) (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y)))) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 y (.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) x)) #s(literal 1 binary64))
(fma.f64 (-.f64 x y) (.f64 y (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal 1 binary64))
(fma.f64 (-.f64 x y) (.f64 (/.f64 y (.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y (-.f64 x y)) (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 y (-.f64 x y)) (.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (/.f64 (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (.f64 x x)) (/.f64 (/.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (.f64 x x)) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y (-.f64 y x)) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 y (-.f64 y x)) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y (-.f64 y x)) (/.f64 #s(literal -2 binary64) (neg.f64 (.f64 x x))) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 x y)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y)))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 y (*.f64 #s(literal -2 binary64) (-.f64 x y))) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 x y) (.f64 x x)) (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) (.f64 y (-.f64 y x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y (-.f64 y x)) x) (/.f64 #s(literal -2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 (-.f64 x y) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) y) (.f64 (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 4 binary64)) (/.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y)))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -2 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (.f64 x x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 y (-.f64 x y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 x y)) x) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (/.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (neg.f64 x)) (/.f64 (*.f64 y (-.f64 y x)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y (-.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) y)) (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) y) x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 x y)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (.f64 y (-.f64 x y))) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (.f64 x x))) (.f64 y (-.f64 y x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) y)) (-.f64 x y) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y)))) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64))) (fma.f64 (-.f64 x y) (.f64 (/.f64 y (.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y)))) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (fma.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (-.f64 (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y (-.f64 y x)) (.f64 x x)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (-.f64 (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (.f64 (/.f64 y (.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (.f64 (/.f64 y (.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y (-.f64 y x)) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (-.f64 (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (.f64 (/.f64 y (.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (-.f64 (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y (-.f64 y x)) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (.f64 x x)) #s(literal 9 binary64))) (.f64 (fma.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (-.f64 (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (.f64 x x)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (.f64 #s(literal 4 binary64) (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 y (.f64 #s(literal -2 binary64) (-.f64 x y))) (.f64 x x)) #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (-.f64 (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) (/.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1 binary64))))
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(/.f64 (.f64 (neg.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) y) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (.f64 (fma.f64 x (neg.f64 x) (.f64 y y)) y) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (.f64 y (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (.f64 y (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (neg.f64 (.f64 y (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))))) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (.f64 y (.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (+.f64 y x)))
(/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 y (.f64 y y))) (pow.f64 (.f64 y (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 y (.f64 x (.f64 y x)) (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 (.f64 y x) (*.f64 y (neg.f64 y))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) x) y) (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 (.f64 y x) (.f64 y (neg.f64 y))))
(*.f64 y (-.f64 x y))
(.f64 y (.f64 (-.f64 x y) #s(literal 1 binary64)))
(*.f64 (-.f64 x y) y)
(.f64 (-.f64 x y) (.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 x y) (neg.f64 (neg.f64 y)))
(.f64 (.f64 y (-.f64 x y)) #s(literal 1 binary64))
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(*.f64 (neg.f64 y) (neg.f64 (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) y))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 y (+.f64 y x)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 y x)))
(*.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))
(.f64 (.f64 y (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
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(*.f64 (neg.f64 (neg.f64 y)) (-.f64 x y))
(.f64 (/.f64 (.f64 y (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (fma.f64 (.f64 y (+.f64 y x)) (.f64 y (.f64 (+.f64 y x) (.f64 y (+.f64 y x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (*.f64 x x)))))
(.f64 (/.f64 (.f64 y (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (+.f64 y x))))
(.f64 (/.f64 (.f64 y (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
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(+.f64 x (neg.f64 y))
(+.f64 (neg.f64 y) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 y x) (.f64 x x))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(-.f64 x y)
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(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
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(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 y (+.f64 y x) (.f64 x x))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 y (+.f64 y x) (.f64 x x))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (.f64 x x))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) y x)
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(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 y (-.f64 y x) (.f64 x x)) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 y (+.f64 y x)) (.f64 y (.f64 (+.f64 y x) (.f64 y (+.f64 y x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (+.f64 y x))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(neg.f64 (neg.f64 (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (.f64 x x)) (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (*.f64 x x)))
(/.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 x (neg.f64 y)))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (*.f64 x x))))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 y y)) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (.f64 (+.f64 y x) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))))
(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)))) (+.f64 y x)))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) (*.f64 y y))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 y x) (.f64 x x))) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)) (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 y x) (.f64 x x)))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (.f64 x x))))) (fma.f64 x (/.f64 (.f64 x x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))) (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))) (fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (.f64 x x)))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) (fma.f64 y y (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (.f64 x x))))
(.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (.f64 x x))))
(.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (neg.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(.f64 (fma.f64 x (neg.f64 x) (.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(.f64 (/.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))) (fma.f64 (.f64 y (+.f64 y x)) (.f64 y (.f64 (+.f64 y x) (.f64 y (+.f64 y x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)))))
(.f64 (/.f64 (.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)

simplify302.0ms (3.2%)

Memory

7.7MiB live, 396.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 316×	`lower-fma.f64`
8 316×	`lower-fma.f32`
2 948×	`lower-*.f64`
2 948×	`lower-*.f32`
1 614×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	739
1	269	721
2	682	663
3	1873	655
4	4260	655
5	6769	649
0	8074	622

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

eval69.0ms (0.7%)

Memory: -14.5MiB live, 148.2MiB allocated
Compiler: Compiled 12 253 to 1 337 computations (89.1% saved)

prune144.0ms (1.5%)

Memory

27.1MiB live, 139.4MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	489	0	489
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	489	9	498

Accuracy

100.0%

Counts

498 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
✓	39.9%	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y (-.f64 x y)) (.f64 x x)) #s(literal 1 binary64))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	48.0%	(/.f64 (.f64 (-.f64 x y) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))
✓	49.1%	(/.f64 (neg.f64 y) (+.f64 x y))
✓	49.4%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
✓	48.8%	(+.f64 #s(literal -1 binary64) (/.f64 x y))
✓	51.3%	#s(literal 1 binary64)
✓	48.0%	#s(literal -1 binary64)

Compiler

Compiled 176 to 85 computations (51.7% saved)

regimes17.0ms (0.2%)

Memory

-13.6MiB live, 30.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
4.0ms	x
3.0ms	(/.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 15 to 9 computations (40% saved)

regimes10.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(/.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 15 to 9 computations (40% saved)

regimes10.0ms (0.1%)

Memory

-20.1MiB live, 19.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
74.1%	3	`x`
79.0%	3	`y`
98.3%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.8%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.8%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.7%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes4.0ms (0%)

Memory

-26.3MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

3 calls:

2.0ms	y
1.0ms	x
1.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
48.0%	1	`x`
48.0%	1	`y`
48.0%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999748562709337	0.9980357440484636

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999748562709337	0.9980357440484636

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999748562709337	0.9980357440484636

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch13.0ms (0.1%)

Memory

32.3MiB live, 32.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-0.9999748562709337	0.9980357440484636

Samples

5.0ms

240×

valid

Compiler

Compiled 132 to 130 computations (1.5% 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)

simplify33.0ms (0.3%)

Memory

-19.5MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	82
1	37	82
2	45	82
3	53	82
4	60	82
5	63	82
6	64	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) (+.f64 x y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

Outputs
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) (+.f64 x y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 y (+.f64 x y))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness693.0ms (7.4%)

Memory

-29.0MiB live, 516.8MiB allocated

Rules

12 552×	`lower-fma.f64`
12 552×	`lower-fma.f32`
11 876×	`lower-fma.f64`
11 876×	`lower-fma.f32`
3 962×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	462
1	439	432
2	1229	387
3	4744	375
0	8368	351
0	5	13
0	8	13
1	39	13
2	309	13
3	5153	13
0	8671	13
0	397	2626
1	1252	2507
2	3266	2244
0	8270	2122

Stop Event

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

Compiler

Compiled 147 to 69 computations (53.1% saved)

preprocess71.0ms (0.8%)

Memory: 19.2MiB live, 96.4MiB allocated
Compiler: Compiled 212 to 70 computations (67% 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

analyze19.0ms (0.2%)

sample785.0ms (8.4%)

preprocess289.0ms (3.1%)

explain75.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.3%)

localize32.0ms (0.3%)

series4.0ms (0%)

rewrite832.0ms (8.8%)

simplify783.0ms (8.3%)

eval94.0ms (1%)

prune100.0ms (1.1%)

simplify262.0ms (2.8%)

localize316.0ms (3.4%)

series33.0ms (0.3%)

rewrite1.4s (15.3%)

simplify502.0ms (5.3%)

eval150.0ms (1.6%)

prune92.0ms (1%)

simplify263.0ms (2.8%)

localize67.0ms (0.7%)

series21.0ms (0.2%)

rewrite313.0ms (3.3%)

simplify415.0ms (4.4%)

eval187.0ms (2%)

prune138.0ms (1.5%)

simplify365.0ms (3.9%)

localize55.0ms (0.6%)

series3.0ms (0%)

rewrite370.0ms (3.9%)

simplify302.0ms (3.2%)

eval69.0ms (0.7%)

prune144.0ms (1.5%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

simplify33.0ms (0.3%)

soundness693.0ms (7.4%)

preprocess71.0ms (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