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

analyze11.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB 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)

sample717.0ms (11.1%)

Memory

-21.2MiB live, 943.4MiB allocated

Samples

457.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-div: 57.0ms (35.9% of total)

ival-sub: 47.0ms (29.6% of total)

ival-add: 46.0ms (28.9% of total)

ival-true: 6.0ms (3.8% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

preprocess68.0ms (1.1%)

Memory

44.8MiB live, 115.0MiB allocated

Algorithm

1×	egg-herbie

Rules

528×	`times-frac`
304×	`lower-fma.f64`
304×	`lower-fma.f32`
250×	`div-sub`
216×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	41	37
2	96	35
3	249	35
4	642	35
5	1390	35
6	1427	35
7	1431	35
8	1499	35
9	1556	35
0	5	7
0	8	7
1	11	7
2	16	7
3	22	7
4	31	7
5	54	7
6	90	7
7	129	7
8	213	7
9	439	7
10	843	7
11	970	7
12	972	7
13	1010	7
14	1039	7
0	1039	7

Stop Event

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

Calls

Call 1

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

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

explain60.0ms (0.9%)

Memory

-8.8MiB live, 155.1MiB 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

32.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-add: 4.0ms (38.8% of total)

ival-sub: 3.0ms (29.1% of total)

ival-div: 3.0ms (29.1% of total)

ival-true: 0.0ms (0% 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

1.7MiB live, 1.7MiB 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)

simplify31.0ms (0.5%)

Memory

-15.6MiB live, 64.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
216×	`times-frac`
200×	`div-sub`
176×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
2	16	15
3	22	15
4	31	15
5	54	15
6	90	15
7	129	15
8	213	15
9	439	15
10	843	15
11	970	15
12	972	15
13	1010	15
14	1039	15
0	1039	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

-2.3MiB live, 36.0MiB 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

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-sub: 3.0ms (45.3% of total)

ival-div: 2.0ms (30.2% of total)

ival-add: 1.0ms (15.1% of total)

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

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

series4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

rewrite501.0ms (7.7%)

Memory

7.0MiB live, 444.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 620×	`lower-*.f64`
4 620×	`lower-*.f32`
3 766×	`lower-fma.f64`
3 766×	`lower-fma.f32`
3 010×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	36	13
2	275	13
3	4496	13
0	8990	13

Stop Event

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

Counts

3 → 463

Calls

Call 1

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

simplify341.0ms (5.3%)

Memory

-7.2MiB live, 644.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 976×	`lower-fma.f64`
11 976×	`lower-fma.f32`
3 278×	`lower-*.f64`
3 278×	`lower-*.f32`
1 780×	`lower-+.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 → 63

Calls

Call 1

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

eval59.0ms (0.9%)

Memory: -1.0MiB live, 152.7MiB allocated
Compiler: Compiled 13 735 to 1 285 computations (90.6% saved)

prune69.0ms (1.1%)

Memory

2.9MiB live, 159.6MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	520	6	526
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	520	7	527

Accuracy

100.0%

Counts

527 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	47.4%	(/.f64 (+.f64 x y) (neg.f64 y))
	47.3%	(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y))
▶	54.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
▶	52.9%	#s(literal 1 binary64)
▶	46.8%	#s(literal -1 binary64)

Compiler

Compiled 99 to 69 computations (30.3% saved)

simplify73.0ms (1.1%)

Memory

-21.9MiB live, 54.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

816×	`lower-fma.f32`
814×	`lower-fma.f64`
480×	`lower-*.f64`
480×	`lower-*.f32`
340×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	22	46
1	36	46
2	49	46
3	64	46
4	89	46
5	133	45
6	220	45
7	408	45
8	953	45
9	1499	45
10	1753	45
11	1854	45
12	1926	45
13	1934	45
14	1934	45
0	1934	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (0.8%)

Memory

-6.7MiB live, 49.9MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

25.0ms

256×

valid

Compiler

Compiled 49 to 16 computations (67.3% saved)

Precisions

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

ival-div: 5.0ms (38.5% of total)

ival-add: 5.0ms (38.5% of total)

ival-mult: 2.0ms (15.4% of total)

ival-neg: 1.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

8 → 168

Calls

Call 1

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

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

42 calls:

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

rewrite59.0ms (0.9%)

Memory

-15.1MiB live, 59.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

398×	`lower-/.f32`
392×	`lower-/.f64`
350×	`lower-*.f64`
350×	`lower-*.f32`
234×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
0	22	35
1	98	35
0	741	34

Stop Event

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

Counts

8 → 145

Calls

Call 1

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

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

simplify935.0ms (14.5%)

Memory

12.0MiB live, 616.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24 658×	`lower-fma.f64`
24 658×	`lower-fma.f32`
3 556×	`lower-+.f64`
3 556×	`lower-+.f32`
2 974×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	723
1	139	723
2	330	705
3	870	705
4	2566	705
5	3909	705
6	5140	705
7	5796	705
8	6080	705
9	6301	705
10	6347	705
11	6371	705
12	6395	705
13	6631	705
14	6810	705
15	6810	705
0	8303	669

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 162

Calls

Call 1

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

eval58.0ms (0.9%)

Memory: -17.8MiB live, 57.9MiB allocated
Compiler: Compiled 2 865 to 380 computations (86.7% saved)

prune24.0ms (0.4%)

Memory

-3.4MiB live, 38.8MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	306	1	307
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	306	8	314

Accuracy

100.0%

Counts

314 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.1%	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	47.4%	(/.f64 (+.f64 x y) (neg.f64 y))
▶	47.3%	(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y))
▶	47.4%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	54.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
✓	52.9%	#s(literal 1 binary64)
✓	46.8%	#s(literal -1 binary64)

Compiler

Compiled 61 to 42 computations (31.1% saved)

simplify222.0ms (3.4%)

Memory

26.5MiB live, 139.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

2 728×	`lower-fma.f32`
2 726×	`lower-fma.f64`
1 360×	`lower-*.f32`
1 358×	`lower-*.f64`
632×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
0	19	54
1	35	54
2	69	54
3	112	54
4	221	54
5	502	54
6	1039	54
7	1981	54
8	3255	54
9	3888	54
10	3962	54
11	3975	54
12	3978	54
13	3982	54
14	4147	54
15	4211	54
16	4211	54
17	4211	54
0	4211	53

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (1.5%)

Memory

-12.6MiB live, 63.5MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

53.0ms

256×

valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 30.0ms (81.7% of total)

ival-mult: 3.0ms (8.2% of total)

ival-sub: 2.0ms (5.4% of total)

ival-add: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite512.0ms (7.9%)

Memory

2.8MiB live, 483.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 344×	`lower-fma.f32`
6 342×	`lower-fma.f64`
4 578×	`lower-*.f32`
4 576×	`lower-*.f64`
3 386×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	19	44
1	91	44
2	702	44
0	8758	43

Stop Event

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

Counts

6 → 388

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (neg.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 (.f64 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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(-.f64 #s(literal -1 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 (.f64 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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 #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))) (neg.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #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 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #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 (neg.f64 x) y)))
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (.f64 x x) (.f64 y y)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))))
(/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) #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 (.f64 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 (.f64 x (.f64 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 #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 (.f64 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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64))) (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 (.f64 x x) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 (.f64 x x) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)))))))
(/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.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 (.f64 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 (.f64 x (.f64 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 #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 (.f64 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 (.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 (.f64 x x) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 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 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 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 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 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 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 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 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 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 (neg.f64 x) y))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
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(/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 2 binary64) y) (.f64 x (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 2 binary64) y) (.f64 x (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) y)) (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)))))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 2 binary64) y) (.f64 x (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x y)))))
(/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 (.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (.f64 y (.f64 y y))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x y)))))) (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(literal 64 binary64)) (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x y)))))) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -8 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (+.f64 (fma.f64 (/.f64 (.f64 x #s(literal 2 binary64)) y) (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(literal 16 binary64)) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 4 binary64)) (*.f64 y y))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 x #s(literal 2 binary64)) y) (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x y))))))
(.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x y)))))))
(.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y))))

simplify329.0ms (5.1%)

Memory

3.9MiB live, 520.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 090×	`lower-fma.f64`
9 090×	`lower-fma.f32`
3 668×	`lower-*.f64`
3 668×	`lower-*.f32`
1 700×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1106
1	274	1070
2	715	1017
3	2179	1017
4	5539	1017
0	8183	941

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

eval66.0ms (1%)

Memory: 1.0MiB live, 194.2MiB allocated
Compiler: Compiled 12 170 to 1 300 computations (89.3% saved)

prune196.0ms (3%)

Memory

-18.4MiB live, 138.8MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	531	1	532
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	532	8	540

Accuracy

100.0%

Counts

540 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) (/.f64 x y) #s(literal -1 binary64))
✓	48.1%	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	47.4%	(/.f64 (+.f64 x y) (neg.f64 y))
✓	47.4%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	54.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
✓	52.9%	#s(literal 1 binary64)
✓	46.8%	#s(literal -1 binary64)

Compiler

Compiled 60 to 40 computations (33.3% saved)

simplify17.0ms (0.3%)

Memory

33.1MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

334×	`lower-fma.f32`
330×	`lower-fma.f64`
320×	`lower-*.f64`
320×	`lower-*.f32`
188×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	12	24
1	20	24
2	33	24
3	76	24
4	136	24
5	195	24
6	273	24
7	337	24
8	446	24
0	446	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.6%)

Memory

-30.2MiB live, 51.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

24.0ms

256×

valid

Compiler

Compiled 29 to 11 computations (62.1% saved)

Precisions

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

ival-mult: 4.0ms (44% of total)

ival-div: 2.0ms (22% of total)

ival-add: 2.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

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

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

#<alt (/.f64 x y)>

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

18 calls:

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

rewrite296.0ms (4.6%)

Memory

12.7MiB live, 609.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 116×	`lower-fma.f32`
5 112×	`lower-fma.f64`
4 034×	`lower-*.f64`
4 034×	`lower-*.f32`
2 388×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	12	20
1	55	20
2	419	20
3	5272	20
0	8129	20

Stop Event

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

Counts

3 → 297

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))) y))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) (fma.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) (.f64 y y)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)) (.f64 y y))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal -8 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y))) #s(literal 4 binary64))) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)))) (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -512 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y)))) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y)))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64)))) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal 64 binary64)) #s(literal 64 binary64)) (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal 64 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal 64 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 y (*.f64 y y))) #s(literal 8 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal 64 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) (/.f64 (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x)) (.f64 y (.f64 y y))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)) #s(literal 4 binary64) #s(literal 16 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) (/.f64 (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x)) (.f64 y (.f64 y y))) #s(literal -16 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) #s(literal 4 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal -8 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y))) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y))) #s(literal 1 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)))) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal -8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(.f64 (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))
(.f64 (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64)))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal -8 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) #s(literal -4 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -2 binary64))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)) #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal -8 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal 64 binary64)) (.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64)))))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) (/.f64 (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x)) (.f64 y (.f64 y y))))))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal -8 binary64)) (.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64))))) (-.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) #s(literal -4 binary64)) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 y y))) #s(literal 8 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 (neg.f64 x) y))
(/.f64 x y)
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.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) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))

simplify457.0ms (7.1%)

Memory

-17.5MiB live, 635.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 990×	`lower-fma.f64`
15 990×	`lower-fma.f32`
3 626×	`lower-*.f64`
3 626×	`lower-*.f32`
2 450×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	498
1	190	492
2	496	460
3	1253	460
4	3797	456
5	6976	456
0	8016	414

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

eval79.0ms (1.2%)

Memory: 6.0MiB live, 80.8MiB allocated
Compiler: Compiled 10 389 to 817 computations (92.1% saved)

prune85.0ms (1.3%)

Memory

-17.8MiB live, 76.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	419	0	419
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	419	8	427

Accuracy

100.0%

Counts

427 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.3%	(fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) (/.f64 x y) #s(literal -1 binary64))
✓	48.1%	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	47.4%	(/.f64 (+.f64 x y) (neg.f64 y))
✓	47.4%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	54.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
✓	52.9%	#s(literal 1 binary64)
✓	46.8%	#s(literal -1 binary64)

Compiler

Compiled 118 to 64 computations (45.8% saved)

regimes10.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes27.0ms (0.4%)

Memory

-25.9MiB live, 12.8MiB 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 (+.f64 x y) (neg.f64 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))

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

Calls

3 calls:

21.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
78.0%	3	`x`
78.6%	3	`y`
98.5%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB 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 (+.f64 x y) (neg.f64 y))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

3.1MiB live, 3.1MiB 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
98.1%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes1.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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
98.1%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB 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	x
1.0ms	y
1.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
46.8%	1	`x`
46.8%	1	`y`
46.8%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9997198688517466	0.9999999999999597

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	-0.9997198688517466	0.9999999999999597

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	-0.9997198688517466	0.9999999999999597

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch59.0ms (0.9%)

Memory

-21.0MiB live, 17.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
58.0ms	-0.9997198688517466	0.9999999999999597

Samples

4.0ms

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)

simplify8.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`*-commutative_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	76
1	34	76
2	47	76
3	58	76
4	66	76
5	68	76

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 (+.f64 x y) (neg.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) (neg.f64 y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+.f64 x y) (neg.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (+.f64 x y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) (neg.f64 y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (+.f64 x y) y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness807.0ms (12.5%)

Memory

3.9MiB live, 273.5MiB allocated

Rules

24 658×	`lower-fma.f64`
24 658×	`lower-fma.f32`
11 976×	`lower-fma.f64`
11 976×	`lower-fma.f32`
3 556×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	723
1	139	723
2	330	705
3	870	705
4	2566	705
5	3909	705
6	5140	705
7	5796	705
8	6080	705
9	6301	705
10	6347	705
11	6371	705
12	6395	705
13	6631	705
14	6810	705
15	6810	705
0	8303	669
0	140	482
1	432	436
2	1252	395
3	5334	377
0	8411	347

Stop Event

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

Compiler

Compiled 133 to 63 computations (52.6% saved)

preprocess59.0ms (0.9%)

Memory: 8.1MiB live, 126.7MiB allocated
Compiler: Compiled 204 to 70 computations (65.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	24
0	12	24
1	20	24
2	33	24
3	76	24
4	136	24
5	195	24
6	273	24
7	337	24
8	446	24
0	446	24

Iter	Nodes	Cost
0	7	24
0	12	24
1	20	24
2	33	24
3	76	24
4	136	24
5	195	24
6	273	24
7	337	24
8	446	24
0	446	24

analyze11.0ms (0.2%)

sample717.0ms (11.1%)

preprocess68.0ms (1.1%)

explain60.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.5%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

rewrite501.0ms (7.7%)

simplify341.0ms (5.3%)

eval59.0ms (0.9%)

prune69.0ms (1.1%)

simplify73.0ms (1.1%)

localize49.0ms (0.8%)

series11.0ms (0.2%)

rewrite59.0ms (0.9%)

simplify935.0ms (14.5%)

eval58.0ms (0.9%)

prune24.0ms (0.4%)

simplify222.0ms (3.4%)

localize97.0ms (1.5%)

series9.0ms (0.1%)

rewrite512.0ms (7.9%)

simplify329.0ms (5.1%)

eval66.0ms (1%)

prune196.0ms (3%)

simplify17.0ms (0.3%)

localize37.0ms (0.6%)

series3.0ms (0%)

rewrite296.0ms (4.6%)

simplify457.0ms (7.1%)

eval79.0ms (1.2%)

prune85.0ms (1.3%)

regimes10.0ms (0.2%)

regimes27.0ms (0.4%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch59.0ms (0.9%)

simplify8.0ms (0.1%)

soundness807.0ms (12.5%)

preprocess59.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	24
0	12	24
1	20	24
2	33	24
3	76	24
4	136	24
5	195	24
6	273	24
7	337	24
8	446	24
0	446	24