Metrics for Linear.Projection:perspective from linear-1.19.1.3, A

analyze10.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample975.0ms (12.7%)

Memory

-44.1MiB live, 1 010.3MiB allocated

Samples

589.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-sub: 163.0ms (51.5% of total)

ival-div: 98.0ms (30.9% of total)

ival-add: 48.0ms (15.2% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess70.0ms (0.9%)

Memory

43.6MiB live, 113.3MiB allocated

Algorithm

2×	egg-herbie

Rules

526×	`times-frac`
304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
264×	`div-sub`
240×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	44	44
2	100	42
3	257	42
4	699	42
5	1516	42
6	1550	42
7	1554	42
8	1622	42
9	1679	42
0	5	7
1	8	7
2	13	7
3	19	7
4	28	7
5	51	7
6	87	7
7	124	7
8	208	7
9	434	7
10	839	7
11	966	7
12	968	7
13	1006	7
14	1035	7
0	1035	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain124.0ms (1.6%)

Memory

-33.8MiB live, 130.5MiB allocated

FPErrors

Click to see full error table

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

91.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-sub: 71.0ms (89.6% of total)

ival-add: 4.0ms (5% of total)

ival-div: 3.0ms (3.8% of total)

ival-true: 1.0ms (1.3% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify29.0ms (0.4%)

Memory

29.7MiB live, 68.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
216×	`times-frac`
202×	`div-sub`
176×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	8	15
2	13	15
3	19	15
4	28	15
5	51	15
6	87	15
7	124	15
8	208	15
9	434	15
10	839	15
11	966	15
12	968	15
13	1006	15
14	1035	15
0	1035	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

-28.3MiB live, 23.9MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

16.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-sub: 7.0ms (68.6% of total)

ival-div: 2.0ms (19.6% of total)

ival-add: 1.0ms (9.8% of total)

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

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

series4.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite343.0ms (4.5%)

Memory

22.3MiB live, 516.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 620×	`-lowering-.f32`
4 620×	`-lowering-.f64`
3 766×	`accelerator-lowering-fma.f32`
3 766×	`accelerator-lowering-fma.f64`
3 010×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	33	13
2	272	13
3	4491	13
0	8980	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 463

Calls

Call 1

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

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

simplify340.0ms (4.4%)

Memory

-1.4MiB live, 674.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 976×	`accelerator-lowering-fma.f32`
11 976×	`accelerator-lowering-fma.f64`
3 278×	`-lowering-.f32`
3 278×	`-lowering-.f64`
1 780×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	482
1	432	436
2	1252	395
3	5334	377
0	8411	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval63.0ms (0.8%)

Memory: -14.3MiB live, 148.2MiB allocated
Compiler: Compiled 13 862 to 1 285 computations (90.7% saved)

prune164.0ms (2.1%)

Memory

21.3MiB live, 143.7MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	526	9	535
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	526	10	536

Accuracy

100.0%

Counts

536 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.8%	(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))
	50.8%	(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	50.3%	(/.f64 (+.f64 x y) x)
	50.7%	(/.f64 y (-.f64 x y))
▶	50.5%	(/.f64 x (-.f64 x y))
▶	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
	50.1%	(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y))
	49.4%	#s(literal 1 binary64)
▶	49.5%	#s(literal -1 binary64)

Compiler

Compiled 155 to 101 computations (34.8% saved)

simplify320.0ms (4.2%)

Memory

-3.4MiB live, 309.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	128	(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) x)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 x (-.f64 x y))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (-.f64 x y) (+.f64 x y))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))

Rules

4 288×	`accelerator-lowering-fma.f32`
4 288×	`accelerator-lowering-fma.f64`
2 358×	`div-sub`
2 328×	`--lowering--.f32`
2 328×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	41	76
2	102	74
3	178	74
4	281	74
5	579	74
6	954	74
7	1630	74
8	3363	74
9	4335	74
10	4863	74
11	5070	74
12	5098	74
13	5122	74
14	5571	74
15	6067	74
16	6431	74
17	6583	74
18	6733	74
19	6901	74
20	7147	74
21	7397	74
0	8317	71

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize53.0ms (0.7%)

Memory

20.0MiB live, 96.4MiB allocated

Localize:

Found 12 expressions of interest:

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

Samples

33.0ms

256×

valid

Compiler

Compiled 75 to 19 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 10.0ms (55.3% of total)

ival-add: 3.0ms (16.6% of total)

ival-mult: 3.0ms (16.6% of total)

ival-sub: 2.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Memory

-45.0MiB live, 21.3MiB allocated

Counts

10 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite385.0ms (5%)

Memory

28.8MiB live, 569.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 316×	`accelerator-lowering-fma.f32`
4 316×	`accelerator-lowering-fma.f64`
3 976×	`/-lowering-/.f32`
3 976×	`/-lowering-/.f64`
3 806×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	117	56
2	1009	56
0	8347	53

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 586

Calls

Call 1

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

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

simplify556.0ms (7.3%)

Memory

15.1MiB live, 929.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 160×	`accelerator-lowering-fma.f32`
14 160×	`accelerator-lowering-fma.f64`
3 656×	`-lowering-.f32`
3 656×	`-lowering-.f64`
3 468×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	1949
1	1085	1770
2	3083	1622
0	8110	1500

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x (.f64 y (.f64 y y))) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 y (fma.f64 y (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 y (fma.f64 y (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(fma.f64 x (.f64 x (/.f64 (.f64 #s(literal -2 binary64) x) (.f64 y (.f64 y y)))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 x x) (fma.f64 x (/.f64 x y) x)) y)) y))
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
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eval240.0ms (3.1%)

Memory: 2.2MiB live, 351.5MiB allocated
Compiler: Compiled 19 599 to 1 971 computations (89.9% saved)

prune106.0ms (1.4%)

Memory

-31.3MiB live, 263.5MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	978	2	980
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	981	9	990

Accuracy

100.0%

Counts

990 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	50.3%	(/.f64 (+.f64 x y) x)
▶	50.7%	(/.f64 y (-.f64 x y))
✓	50.5%	(/.f64 x (-.f64 x y))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
▶	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
▶	49.4%	#s(literal 1 binary64)
✓	49.5%	#s(literal -1 binary64)

Compiler

Compiled 68 to 42 computations (38.2% saved)

simplify49.0ms (0.6%)

Memory

36.5MiB live, 74.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

560×	`accelerator-lowering-fma.f32`
560×	`accelerator-lowering-fma.f64`
368×	`-lowering-.f32`
368×	`-lowering-.f64`
160×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	20	51
2	28	51
3	35	51
4	44	51
5	63	51
6	111	51
7	217	49
8	511	49
9	842	47
10	1072	47
11	1292	47
12	1323	47
13	1337	47
14	1349	47
0	1349	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize44.0ms (0.6%)

Memory

3.3MiB live, 78.9MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

26.0ms

256×

valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 7.0ms (46.4% of total)

ival-mult: 4.0ms (26.5% of total)

ival-sub: 2.0ms (13.3% of total)

ival-add: 2.0ms (13.3% 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

-27.2MiB live, 9.5MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite938.0ms (12.3%)

Memory

-99.3MiB live, 519.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 120×	`accelerator-lowering-fma.f32`
6 120×	`accelerator-lowering-fma.f64`
4 220×	`-lowering-.f32`
4 220×	`-lowering-.f64`
3 946×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	78	32
2	804	32
0	8970	31

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 323

Calls

Call 1

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

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

simplify964.0ms (12.6%)

Memory

2.5MiB live, 886.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 724×	`accelerator-lowering-fma.f32`
14 724×	`accelerator-lowering-fma.f64`
4 542×	`-lowering-.f32`
4 542×	`-lowering-.f64`
2 406×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	285	1248
1	889	1193
2	2395	1096
0	8180	1006

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval386.0ms (5%)

Memory: -0.9MiB live, 193.1MiB allocated
Compiler: Compiled 13 440 to 1 139 computations (91.5% saved)

prune211.0ms (2.8%)

Memory

-2.8MiB live, 200.0MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	682	1	683
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	682	10	692

Accuracy

100.0%

Counts

692 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	50.3%	(/.f64 (+.f64 x y) x)
✓	50.7%	(/.f64 y (-.f64 x y))
✓	50.5%	(/.f64 x (-.f64 x y))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
▶	50.0%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
✓	49.4%	#s(literal 1 binary64)
✓	49.5%	#s(literal -1 binary64)

Compiler

Compiled 75 to 47 computations (37.3% saved)

simplify7.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB 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 #s(literal -1 binary64) (/.f64 x y))

Rules

44×	`+-lowering-+.f64`
44×	`+-lowering-+.f32`
34×	`sub-neg`
32×	`--lowering--.f32`
32×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	7	11
2	15	11
3	24	11
4	41	11
5	56	11
6	71	11
7	91	11
8	105	11
9	108	11
10	109	11
0	109	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize35.0ms (0.5%)

Memory

1.0MiB live, 40.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

30.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (45.5% of total)

ival-sub: 2.0ms (45.5% 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

11.2MiB live, 11.2MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite435.0ms (5.7%)

Memory

-1.1MiB live, 309.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 222×	`accelerator-lowering-fma.f32`
3 222×	`accelerator-lowering-fma.f64`
2 646×	`-lowering-.f32`
2 646×	`-lowering-.f64`
2 184×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	28	8
2	229	8
3	4792	8
0	8295	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 173

Calls

Call 1

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

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

simplify32.0ms (0.4%)

Memory

-15.0MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Rules

272×	`accelerator-lowering-fma.f32`
272×	`accelerator-lowering-fma.f64`
226×	`div-sub`
176×	`-lowering-.f32`
176×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	195
1	40	195
2	105	177
3	190	177
4	303	177
5	408	177
6	600	177
7	870	177
8	921	177
9	923	177
0	923	177

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval37.0ms (0.5%)

Memory: 2.5MiB live, 40.2MiB allocated
Compiler: Compiled 4 364 to 409 computations (90.6% saved)

prune30.0ms (0.4%)

Memory

-12.8MiB live, 63.6MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	221	10	231

Accuracy

100.0%

Counts

231 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	50.3%	(/.f64 (+.f64 x y) x)
✓	50.7%	(/.f64 y (-.f64 x y))
✓	50.5%	(/.f64 x (-.f64 x y))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
✓	50.0%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
✓	49.4%	#s(literal 1 binary64)
✓	49.5%	#s(literal -1 binary64)

Compiler

Compiled 161 to 74 computations (54% saved)

regimes13.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	y
3.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes18.0ms (0.2%)

Memory

-30.7MiB live, 12.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.3%	3	`x`
77.3%	3	`y`
97.4%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.4%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.4%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.4%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.3%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes4.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
49.5%	1	`y`
49.5%	1	`x`
49.5%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7513878937358522	0.9947018281706829

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7513878937358522	0.9947018281706829

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7513878937358522	0.9947018281706829

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7513878937358522	0.9947018281706829

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch12.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-0.7513878937358522	0.9947018281706829

Samples

5.0ms

240×

valid

Compiler

Compiled 132 to 130 computations (1.5% saved)

Precisions

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

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

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

simplify19.0ms (0.2%)

Memory

-21.4MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`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	21	96
1	29	96
2	38	96
3	44	96
4	48	96
5	49	96

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 y (-.f64 x y)) (/.f64 (+.f64 x y) x))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 y (-.f64 x y)) (/.f64 (+.f64 x y) x))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 x y)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness460.0ms (6%)

Memory

3.4MiB live, 357.4MiB allocated

Rules

14 724×	`accelerator-lowering-fma.f32`
14 724×	`accelerator-lowering-fma.f64`
11 976×	`accelerator-lowering-fma.f32`
11 976×	`accelerator-lowering-fma.f64`
4 542×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	482
1	432	436
2	1252	395
3	5334	377
0	8411	347
0	285	1248
1	889	1193
2	2395	1096
0	8180	1006

Stop Event

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

Compiler

Compiled 173 to 71 computations (59% saved)

preprocess106.0ms (1.4%)

Memory: 4.0MiB live, 140.1MiB allocated
Compiler: Compiled 244 to 68 computations (72.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	11
1	7	11
2	15	11
3	24	11
4	41	11
5	56	11
6	71	11
7	91	11
8	105	11
9	108	11
10	109	11
0	109	11

Iter	Nodes	Cost
0	15	195
1	40	195
2	105	177
3	190	177
4	303	177
5	408	177
6	600	177
7	870	177
8	921	177
9	923	177
0	923	177

Iter	Nodes	Cost
0	5	11
1	7	11
2	15	11
3	24	11
4	41	11
5	56	11
6	71	11
7	91	11
8	105	11
9	108	11
10	109	11
0	109	11

Iter	Nodes	Cost
0	15	195
1	40	195
2	105	177
3	190	177
4	303	177
5	408	177
6	600	177
7	870	177
8	921	177
9	923	177
0	923	177

analyze10.0ms (0.1%)

sample975.0ms (12.7%)

preprocess70.0ms (0.9%)

explain124.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.4%)

localize22.0ms (0.3%)

series4.0ms (0.1%)

rewrite343.0ms (4.5%)

simplify340.0ms (4.4%)

eval63.0ms (0.8%)

prune164.0ms (2.1%)

simplify320.0ms (4.2%)

localize53.0ms (0.7%)

series30.0ms (0.4%)

rewrite385.0ms (5%)

simplify556.0ms (7.3%)

eval240.0ms (3.1%)

prune106.0ms (1.4%)

simplify49.0ms (0.6%)

localize44.0ms (0.6%)

series7.0ms (0.1%)

rewrite938.0ms (12.3%)

simplify964.0ms (12.6%)

eval386.0ms (5%)

prune211.0ms (2.8%)

simplify7.0ms (0.1%)

localize35.0ms (0.5%)

series4.0ms (0.1%)

rewrite435.0ms (5.7%)

simplify32.0ms (0.4%)

eval37.0ms (0.5%)

prune30.0ms (0.4%)

regimes13.0ms (0.2%)

regimes18.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

simplify19.0ms (0.2%)

soundness460.0ms (6%)

preprocess106.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	11
1	7	11
2	15	11
3	24	11
4	41	11
5	56	11
6	71	11
7	91	11
8	105	11
9	108	11
10	109	11
0	109	11

Iter	Nodes	Cost
0	15	195
1	40	195
2	105	177
3	190	177
4	303	177
5	408	177
6	600	177
7	870	177
8	921	177
9	923	177
0	923	177