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

analyze13.0ms (0.3%)

Memory

-11.5MiB live, 31.1MiB 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)

sample639.0ms (13.7%)

Memory

4.4MiB live, 920.6MiB allocated

Samples

423.0ms

8 256×

valid

Precisions

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

ival-div: 58.0ms (36.4% of total)

ival-sub: 46.0ms (28.8% of total)

ival-add: 46.0ms (28.8% of total)

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

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

Bogosity

preprocess64.0ms (1.4%)

Memory

7.8MiB live, 50.8MiB 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))

explain55.0ms (1.2%)

Memory

-2.8MiB live, 73.3MiB 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

26.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 7.0ms (51.7% of total)

ival-sub: 3.0ms (22.2% of total)

ival-div: 3.0ms (22.2% 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify29.0ms (0.6%)

Memory

-7.5MiB live, 30.2MiB 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)

localize22.0ms (0.5%)

Memory

-9.5MiB live, 31.8MiB 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

13.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-add: 4.0ms (56.8% of total)

ival-div: 2.0ms (28.4% of total)

ival-sub: 1.0ms (14.2% of total)

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

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

series4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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	@	0	(/ (+ x y) (- x y))
0.0ms	x	@	-inf	(/ (+ x y) (- x y))

rewrite299.0ms (6.4%)

Memory

-8.8MiB live, 472.5MiB 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 (.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 (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))))

simplify729.0ms (15.6%)

Memory

9.8MiB live, 363.3MiB 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)

eval94.0ms (2%)

Memory: 31.1MiB live, 105.4MiB allocated
Compiler: Compiled 13 735 to 1 285 computations (90.6% saved)

prune125.0ms (2.7%)

Memory

-29.8MiB live, 137.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	521	5	526
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	521	6	527

Accuracy

100.0%

Counts

527 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.0%	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	48.6%	(/.f64 (+.f64 x y) (neg.f64 y))
▶	53.2%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
▶	52.1%	#s(literal 1 binary64)
▶	47.9%	#s(literal -1 binary64)

Compiler

Compiled 71 to 51 computations (28.2% saved)

simplify66.0ms (1.4%)

Memory

16.9MiB live, 61.5MiB 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)

localize67.0ms (1.4%)

Memory

-13.7MiB live, 60.6MiB allocated

Localize:

Found 8 expressions of interest:

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

34.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 15.0ms (62.3% of total)

ival-div: 5.0ms (20.8% of total)

ival-mult: 2.0ms (8.3% of total)

ival-neg: 1.0ms (4.2% 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

15.5MiB live, 15.5MiB 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))
0.0ms	y	@	inf	(+ 1 (/ (+ y y) x))
0.0ms	y	@	inf	(/ (+ y y) x)
0.0ms	y	@	0	(+ (* -2 (/ x y)) -1)

rewrite105.0ms (2.3%)

Memory

-21.0MiB live, 60.4MiB 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)

simplify721.0ms (15.4%)

Memory

-15.3MiB live, 790.4MiB 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)

eval32.0ms (0.7%)

Memory: 28.0MiB live, 105.2MiB allocated
Compiler: Compiled 2 865 to 380 computations (86.7% saved)

prune26.0ms (0.6%)

Memory

-27.7MiB live, 64.9MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	305	2	307
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	305	8	313

Accuracy

100.0%

Counts

313 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	48.6%	(/.f64 (+.f64 x y) (neg.f64 y))
▶	48.6%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	53.2%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
▶	3.5%	(*.f64 #s(literal 2 binary64) (/.f64 y x))
✓	52.1%	#s(literal 1 binary64)
✓	47.9%	#s(literal -1 binary64)

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify9.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

56×	`lower-+.f64`
56×	`lower-+.f32`
40×	`lower-fma.f64`
40×	`lower-fma.f32`
36×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	22
1	17	22
2	27	22
3	38	22
4	56	22
5	71	22
6	86	22
7	106	22
8	129	22
9	140	22
10	142	22
0	142	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (1.9%)

Memory

6.2MiB live, 45.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

79.0ms

256×

valid

Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 68.0ms (95% of total)

ival-sub: 2.0ms (2.8% of total)

ival-mult: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.5%)

Memory

-33.4MiB live, 6.0MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
22.0ms	y	@	-inf	(/ y x)
0.0ms	x	@	-inf	(/ y x)
0.0ms	y	@	inf	(/ y x)
0.0ms	y	@	0	(- -1 (/ x y))
0.0ms	y	@	-inf	(- -1 (/ x y))

rewrite242.0ms (5.2%)

Memory

44.7MiB live, 393.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 786×	`lower-fma.f64`
2 786×	`lower-fma.f32`
2 406×	`lower-*.f32`
2 406×	`lower-/.f32`
2 404×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	12	16
1	41	16
2	281	16
3	5399	16
0	8648	16

Stop Event

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

Counts

4 → 230

Calls

Call 1

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

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

simplify42.0ms (0.9%)

Memory

-37.0MiB live, 83.4MiB allocated

Algorithm

1×	egg-herbie

Rules

432×	`lower-fma.f64`
432×	`lower-fma.f32`
336×	`lower-*.f64`
336×	`lower-*.f32`
236×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	387
1	46	387
2	113	369
3	200	369
4	322	369
5	427	369
6	715	369
7	1037	369
8	1175	369
9	1195	369
0	1195	369

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

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

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

eval45.0ms (1%)

Memory: 7.2MiB live, 92.4MiB allocated
Compiler: Compiled 4 436 to 514 computations (88.4% saved)

prune34.0ms (0.7%)

Memory

11.7MiB live, 87.3MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	326	0	326
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	326	8	334

Accuracy

100.0%

Counts

334 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	48.6%	(/.f64 (+.f64 x y) (neg.f64 y))
✓	48.6%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	53.2%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
✓	3.5%	(*.f64 #s(literal 2 binary64) (/.f64 y x))
✓	52.1%	#s(literal 1 binary64)
✓	47.9%	#s(literal -1 binary64)

Compiler

Compiled 94 to 57 computations (39.4% saved)

regimes12.0ms (0.2%)

Memory

-12.4MiB live, 24.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	y
2.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
80.2%	3	`x`
74.7%	3	`y`
98.7%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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 #s(literal 2 binary64) (/.f64 y x))
(/.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
98.4%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB 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 #s(literal 2 binary64) (/.f64 y x))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes6.0ms (0.1%)

Memory

-37.0MiB live, 4.3MiB 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
98.4%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes4.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB 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
47.9%	1	`y`
47.9%	1	`x`
47.9%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.4678307724594199	0.9999999999999604

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.4678307724594199	0.9999999999999604

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.4678307724594199	0.9999999999999604

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch16.0ms (0.3%)

Memory

-2.7MiB live, 32.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-0.4678307724594199	0.9999999999999604

Samples

7.0ms

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 (0.2%)

Memory

27.9MiB live, 27.9MiB 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 -3602879701896397/9007199254740992 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 -3602879701896397/9007199254740992 binary64)) (/.f64 (+.f64 x y) (neg.f64 y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -3602879701896397/9007199254740992 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 -3602879701896397/9007199254740992 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 -3602879701896397/9007199254740992 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 -3602879701896397/9007199254740992 binary64)) (/.f64 (+.f64 x y) (neg.f64 y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -3602879701896397/9007199254740992 binary64)) (neg.f64 (/.f64 (+.f64 x y) y)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -3602879701896397/9007199254740992 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)

soundness959.0ms (20.5%)

Memory

-22.9MiB live, 334.8MiB 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)

preprocess70.0ms (1.5%)

Memory: 0.2MiB live, 170.5MiB allocated
Compiler: Compiled 204 to 70 computations (65.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	22
0	12	22
1	17	22
2	27	22
3	38	22
4	56	22
5	71	22
6	86	22
7	106	22
8	129	22
9	140	22
10	142	22
0	142	22

Iter	Nodes	Cost
0	8	22
0	12	22
1	17	22
2	27	22
3	38	22
4	56	22
5	71	22
6	86	22
7	106	22
8	129	22
9	140	22
10	142	22
0	142	22

analyze13.0ms (0.3%)

sample639.0ms (13.7%)

preprocess64.0ms (1.4%)

explain55.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.6%)

localize22.0ms (0.5%)

series4.0ms (0.1%)

rewrite299.0ms (6.4%)

simplify729.0ms (15.6%)

eval94.0ms (2%)

prune125.0ms (2.7%)

simplify66.0ms (1.4%)

localize67.0ms (1.4%)

series11.0ms (0.2%)

rewrite105.0ms (2.3%)

simplify721.0ms (15.4%)

eval32.0ms (0.7%)

prune26.0ms (0.6%)

simplify9.0ms (0.2%)

localize87.0ms (1.9%)

series24.0ms (0.5%)

rewrite242.0ms (5.2%)

simplify42.0ms (0.9%)

eval45.0ms (1%)

prune34.0ms (0.7%)

regimes12.0ms (0.2%)

regimes8.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.3%)

simplify8.0ms (0.2%)

soundness959.0ms (20.5%)

preprocess70.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	22
0	12	22
1	17	22
2	27	22
3	38	22
4	56	22
5	71	22
6	86	22
7	106	22
8	129	22
9	140	22
10	142	22
0	142	22