Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

analyze14.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB 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 7 to 6 computations (14.3% saved)

sample817.0ms (13.3%)

Memory

-19.4MiB live, 421.1MiB allocated

Samples

641.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-div: 127.0ms (56.3% of total)

ival-add: 90.0ms (39.9% of total)

ival-true: 6.0ms (2.7% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess25.0ms (0.4%)

Memory

22.7MiB live, 22.7MiB allocated

Algorithm

2×	egg-herbie

Rules

198×	`times-frac`
102×	`associate-l`
84×	`div-sub`
82×	`unsub-neg`
68×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	37	30
2	74	30
3	153	30
4	351	30
5	592	30
6	756	30
7	782	30
8	809	30
9	821	30
0	4	5
1	5	5
0	5	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ x (+ x y))

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

Call 2

Inputs
(/ x (+ x y))
(/ (neg x) (+ (neg x) y))
(/ x (+ x (neg y)))
(neg (/ (neg x) (+ (neg x) y)))
(neg (/ x (+ x (neg y))))
(/ y (+ y x))

Outputs
(/ x (+ x y))
(/ (neg x) (+ (neg x) y))
(/ x (- x y))
(/ x (+ x (neg y)))
(/ x (- x y))
(neg (/ (neg x) (+ (neg x) y)))
(/ x (- y x))
(neg (/ x (+ x (neg y))))
(/ x (- y x))
(/ y (+ y x))
(/ y (+ x y))

explain48.0ms (0.8%)

Memory

-36.0MiB live, 45.6MiB allocated

FPErrors

Click to see full error table

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

23.0ms

512×

valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 8.0ms (65.6% of total)

ival-div: 4.0ms (32.8% 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 x (+.f64 x y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	5	10
0	5	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x (+ x y))
x
(+ x y)
y

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

localize14.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (56.1% of total)

ival-add: 1.0ms (28% of total)

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

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

series3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (/ x (+ x y))>
#<alt (+ x y)>

Outputs
#<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)))>

Calls

12 calls:

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

rewrite516.0ms (8.4%)

Memory

-43.7MiB live, 348.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 260×	`/-lowering-/.f32`
5 260×	`/-lowering-/.f64`
4 086×	`accelerator-lowering-fma.f32`
4 086×	`accelerator-lowering-fma.f64`
3 762×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	26	8
2	187	8
3	1830	8
0	8654	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 316

Calls

Call 1

Inputs
(/ x (+ x y))
(+ x y)

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

simplify330.0ms (5.3%)

Memory

-4.5MiB live, 427.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 194×	`accelerator-lowering-fma.f32`
10 194×	`accelerator-lowering-fma.f64`
3 612×	`-lowering-.f32`
3 612×	`-lowering-.f64`
2 202×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	369
1	369	348
2	945	318
3	3738	316
0	8250	303

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(/ 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)))

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

eval40.0ms (0.6%)

Memory: 14.6MiB live, 88.8MiB allocated
Compiler: Compiled 10 637 to 1 047 computations (90.2% saved)

prune45.0ms (0.7%)

Memory

13.3MiB live, 107.9MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	359	5	364
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	359	6	365

Accuracy

100.0%

Counts

365 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(/.f64 (.f64 x (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
✓	100.0%	(/.f64 x (+.f64 x y))
▶	49.5%	(/.f64 x y)
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
▶	51.7%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
▶	52.2%	#s(literal 1 binary64)

Compiler

Compiled 85 to 52 computations (38.8% saved)

simplify406.0ms (6.6%)

Memory

-31.3MiB live, 684.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x (-.f64 x y))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	1152	(/.f64 (.f64 x (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) x)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))

Rules

14 564×	`accelerator-lowering-fma.f32`
14 564×	`accelerator-lowering-fma.f64`
3 530×	`-lowering-.f32`
3 530×	`-lowering-.f64`
1 986×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	31	62
2	83	58
3	171	58
4	627	58
5	3718	58
0	8367	58

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize43.0ms (0.7%)

Memory

13.6MiB live, 92.0MiB allocated

Localize:

Found 10 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 x (-.f64 x y))
✓	accuracy	59.5%	(/.f64 (.f64 x (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))

Samples

28.0ms

256×

valid

Compiler

Compiled 70 to 15 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 9.0ms (51.7% of total)

ival-mult: 4.0ms (23% of total)

ival-sub: 2.0ms (11.5% of total)

ival-add: 2.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

10 → 240

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ x y) x))>
#<alt (/ (+ x y) x)>
#<alt (+ x y)>
#<alt (/ x y)>
#<alt (- 1 (/ y x))>
#<alt (/ y x)>
#<alt (/ (* x (- x y)) (* (+ x y) (- x y)))>
#<alt (- x y)>
#<alt (* x (- x y))>
#<alt (* (+ x y) (- x y))>

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

Calls

60 calls:

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

rewrite344.0ms (5.6%)

Memory

-13.9MiB live, 731.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 354×	`-lowering-.f32`
5 354×	`-lowering-.f64`
4 306×	`accelerator-lowering-fma.f32`
4 306×	`accelerator-lowering-fma.f64`
4 266×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	88	44
2	734	44
0	9412	44

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1 202

Calls

Call 1

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

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

simplify564.0ms (9.1%)

Memory

17.3MiB live, 627.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 772×	`accelerator-lowering-fma.f32`
18 772×	`accelerator-lowering-fma.f64`
3 950×	`-lowering-.f32`
3 950×	`-lowering-.f64`
2 736×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1479
1	613	1347
2	1674	1275
3	7690	1271
0	8123	1241

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval173.0ms (2.8%)

Memory: -7.2MiB live, 255.1MiB allocated
Compiler: Compiled 40 326 to 3 233 computations (92% saved)

prune153.0ms (2.5%)

Memory

-21.6MiB live, 198.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 703	1	1 704
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 704	6	1 710

Accuracy

100.0%

Counts

1 710 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.1%	(/.f64 (*.f64 x (-.f64 x y)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
✓	100.0%	(/.f64 x (+.f64 x y))
✓	49.5%	(/.f64 x y)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
✓	51.7%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	52.2%	#s(literal 1 binary64)

Compiler

Compiled 45 to 29 computations (35.6% saved)

simplify254.0ms (4.1%)

Memory

0.1MiB live, 158.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

3 384×	`accelerator-lowering-fma.f32`
3 384×	`accelerator-lowering-fma.f64`
2 354×	`-lowering-.f32`
2 354×	`-lowering-.f64`
1 630×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	21	28
2	47	28
3	125	28
4	326	27
5	815	27
6	2441	27
7	2919	27
8	3440	27
9	3998	27
10	4508	27
11	4977	27
12	5987	27
13	7063	27
14	7556	27
0	8033	27

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (- x y)) (- 0 (+ (* y y) 0)))
(* x (- x y))
x
(- x y)
y
(- 0 (+ (* y y) 0))
0
(+ (* y y) 0)

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

localize25.0ms (0.4%)

Memory

16.8MiB live, 16.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
✓	accuracy	100.0%	(*.f64 x (-.f64 x y))
✓	accuracy	71.3%	(/.f64 (*.f64 x (-.f64 x y)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))

Samples

15.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-mult: 3.0ms (34.7% of total)

ival-sub: 2.0ms (23.1% of total)

ival-div: 2.0ms (23.1% of total)

ival-add: 1.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (/ (* x (- x y)) (- 0 (+ (* y y) 0)))>
#<alt (- x y)>
#<alt (- 0 (+ (* y y) 0))>
#<alt (+ (* y y) 0)>
#<alt (* x (- x y))>

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

Calls

24 calls:

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

rewrite352.0ms (5.7%)

Memory

-11.8MiB live, 392.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 470×	`accelerator-lowering-fma.f32`
6 470×	`accelerator-lowering-fma.f64`
3 170×	`-lowering-.f32`
3 170×	`-lowering-.f64`
2 822×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	70	25
2	566	25
0	5808	25

Stop Event

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

Counts

5 → 1 065

Calls

Call 1

Inputs
(/ (* x (- x y)) (- 0 (+ (* y y) 0)))
(- x y)
(- 0 (+ (* y y) 0))
(+ (* y y) 0)
(* x (- x y))

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

simplify216.0ms (3.5%)

Memory

5.0MiB live, 163.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 552×	`accelerator-lowering-fma.f32`
4 552×	`accelerator-lowering-fma.f64`
4 020×	`-lowering-.f32`
4 020×	`-lowering-.f64`
1 232×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	507
1	164	489
2	398	453
3	1145	453
4	2876	453
5	4174	453
6	5680	453
7	7005	453
0	8011	453

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval120.0ms (2%)

Memory: 22.6MiB live, 169.0MiB allocated
Compiler: Compiled 39 513 to 2 341 computations (94.1% saved)

prune163.0ms (2.6%)

Memory

-13.5MiB live, 188.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 160	1	1 161
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	1 161	6	1 167

Accuracy

100.0%

Counts

1 167 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.2%	(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
✓	100.0%	(/.f64 x (+.f64 x y))
✓	49.5%	(/.f64 x y)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
✓	51.7%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	52.2%	#s(literal 1 binary64)

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify209.0ms (3.4%)

Memory

-16.3MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 y x)
✓	cost-diff	(fma.f64 y y #s(literal 0 binary64))
✓	cost-diff	(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
✓	cost-diff	(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))

Rules

4 256×	`accelerator-lowering-fma.f32`
4 256×	`accelerator-lowering-fma.f64`
2 782×	`-lowering-.f32`
2 782×	`-lowering-.f64`
2 140×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	17	23
2	44	23
3	102	23
4	193	23
5	328	23
6	811	23
7	3036	23
8	5122	23
9	5969	23
10	6274	23
11	6891	23
12	7308	23
0	8060	23

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ x (+ (* y y) 0)) (- y x)) 0)
(/ x (+ (* y y) 0))
x
(+ (* y y) 0)
y
0
(- y x)

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

localize25.0ms (0.4%)

Memory

-2.1MiB live, 35.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y y #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	92.6%	(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
✓	accuracy	79.8%	(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))

Samples

15.0ms

256×

valid

Compiler

Compiled 29 to 11 computations (62.1% saved)

Precisions

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

ival-mult: 3.0ms (35.2% of total)

ival-div: 2.0ms (23.5% of total)

ival-add: 2.0ms (23.5% of total)

ival-sub: 1.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (+ (* (/ x (+ (* y y) 0)) (- y x)) 0)>
#<alt (/ x (+ (* y y) 0))>
#<alt (+ (* y y) 0)>
#<alt (- y x)>

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

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ x (+ (* y y) 0))
0.0ms	x	@	inf	(+ (* (/ x (+ (* y y) 0)) (- y x)) 0)
0.0ms	x	@	0	(+ (* (/ x (+ (* y y) 0)) (- y x)) 0)
0.0ms	x	@	0	(/ x (+ (* y y) 0))
0.0ms	x	@	-inf	(/ x (+ (* y y) 0))

rewrite462.0ms (7.5%)

Memory

-0.7MiB live, 398.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 178×	`accelerator-lowering-fma.f32`
8 178×	`accelerator-lowering-fma.f64`
5 360×	`-lowering-.f32`
5 360×	`-lowering-.f64`
4 486×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	64	20
2	716	20
0	8520	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 1 173

Calls

Call 1

Inputs
(+ (* (/ x (+ (* y y) 0)) (- y x)) 0)
(/ x (+ (* y y) 0))
(+ (* y y) 0)
(- y x)

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

simplify213.0ms (3.5%)

Memory

15.8MiB live, 220.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 588×	`-lowering-.f32`
4 588×	`-lowering-.f64`
3 458×	`accelerator-lowering-fma.f32`
3 458×	`accelerator-lowering-fma.f64`
1 382×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	468
1	120	450
2	291	414
3	769	414
4	2328	414
5	3797	414
6	5104	414
7	6238	414
8	6889	414
9	7815	414
0	8190	414

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval138.0ms (2.2%)

Memory: -1.5MiB live, 138.0MiB allocated
Compiler: Compiled 49 570 to 2 226 computations (95.5% saved)

prune142.0ms (2.3%)

Memory

-14.5MiB live, 195.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 256	1	1 257
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	1 257	6	1 263

Accuracy

100.0%

Counts

1 263 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.2%	(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 y x) #s(literal 0 binary64))
✓	100.0%	(/.f64 x (+.f64 x y))
✓	49.5%	(/.f64 x y)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
✓	51.7%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	52.2%	#s(literal 1 binary64)

Compiler

Compiled 112 to 52 computations (53.6% saved)

regimes10.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.9%	3	`x`
83.6%	3	`y`
98.8%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.2%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB 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:

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

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.41527827914785054	0.9999257853453101

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.41527827914785054	0.9999257853453101

Compiler

Compiled 10 to 9 computations (10% saved)

simplify7.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	18	34
2	26	34
3	32	34
4	37	34
5	39	34

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness221.0ms (3.6%)

Memory

3.2MiB live, 3.2MiB allocated

Rules

10 194×	`accelerator-lowering-fma.f32`
10 194×	`accelerator-lowering-fma.f64`
3 612×	`-lowering-.f32`
3 612×	`-lowering-.f64`
2 202×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	369
1	369	348
2	945	318
3	3738	316
0	8250	303

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 59 to 29 computations (50.8% saved)

preprocess36.0ms (0.6%)

Memory: -8.3MiB live, 32.0MiB allocated
Compiler: Compiled 86 to 32 computations (62.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	40
1	37	30
2	74	30
3	153	30
4	351	30
5	592	30
6	756	30
7	782	30
8	809	30
9	821	30
0	4	5
1	5	5
0	5	5

Iter	Nodes	Cost
0	14	40
1	37	30
2	74	30
3	153	30
4	351	30
5	592	30
6	756	30
7	782	30
8	809	30
9	821	30
0	4	5
1	5	5
0	5	5

analyze14.0ms (0.2%)

sample817.0ms (13.3%)

preprocess25.0ms (0.4%)

explain48.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize14.0ms (0.2%)

series3.0ms (0%)

rewrite516.0ms (8.4%)

simplify330.0ms (5.3%)

eval40.0ms (0.6%)

prune45.0ms (0.7%)

simplify406.0ms (6.6%)

localize43.0ms (0.7%)

series11.0ms (0.2%)

rewrite344.0ms (5.6%)

simplify564.0ms (9.1%)

eval173.0ms (2.8%)

prune153.0ms (2.5%)

simplify254.0ms (4.1%)

localize25.0ms (0.4%)

series4.0ms (0.1%)

rewrite352.0ms (5.7%)

simplify216.0ms (3.5%)

eval120.0ms (2%)

prune163.0ms (2.6%)

simplify209.0ms (3.4%)

localize25.0ms (0.4%)

series7.0ms (0.1%)

rewrite462.0ms (7.5%)

simplify213.0ms (3.5%)

eval138.0ms (2.2%)

prune142.0ms (2.3%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes1.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness221.0ms (3.6%)

preprocess36.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	40
1	37	30
2	74	30
3	153	30
4	351	30
5	592	30
6	756	30
7	782	30
8	809	30
9	821	30
0	4	5
1	5	5
0	5	5