Metrics for Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

analyze12.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB 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 8 computations (11.1% saved)

sample2.0s (40%)

Memory

-16.1MiB live, 618.7MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 784.0ms

ival-sub: 350.0ms (44.6% of total)

ival-div: 296.0ms (37.8% of total)

ival-fabs: 129.0ms (16.5% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess78.0ms (1.5%)

Memory

25.1MiB live, 65.0MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
70×	`sub-neg`
68×	`lower-*.f64`
68×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	47	37
2	93	37
3	176	37
4	254	37
5	308	37
6	342	37
7	358	37
8	368	37
9	372	37
10	377	37
11	383	37
12	383	37
0	6	7
0	10	7
1	14	7
2	21	7
3	29	7
4	48	7
5	95	7
6	149	7
7	172	7
8	186	7
9	198	7
10	198	7
0	198	7

Stop Event

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

Calls

Call 1

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

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

explain117.0ms (2.3%)

Memory

-12.9MiB live, 204.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(fabs.f64 y)`
-	-	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 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 58 to 28 computations (51.7% saved)

Precisions

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

ival-fabs: 5.0ms (38.9% of total)

ival-div: 4.0ms (31.1% of total)

ival-sub: 3.0ms (23.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory

-35.9MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify12.0ms (0.2%)

Memory

0.5MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
68×	`lower-*.f64`
68×	`lower-*.f32`
38×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	14	18
2	21	18
3	29	18
4	48	18
5	95	18
6	149	18
7	172	18
8	186	18
9	198	18
10	198	18
0	198	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

14.9MiB live, 54.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-fabs: 3.0ms (44.7% of total)

ival-sub: 2.0ms (29.8% of total)

ival-div: 2.0ms (29.8% of total)

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

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

series5.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite289.0ms (5.7%)

Memory

-11.3MiB live, 580.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 452×	`lower-/.f32`
4 450×	`lower-/.f64`
3 554×	`lower-fma.f64`
3 554×	`lower-fma.f32`
3 366×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	40	15
2	252	15
3	2330	15
0	8712	15

Stop Event

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

Counts

4 → 385

Calls

Call 1

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

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

simplify173.0ms (3.4%)

Memory

-2.0MiB live, 277.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 026×	`lower-*.f64`
3 026×	`lower-*.f32`
2 284×	`lower-fma.f64`
2 284×	`lower-fma.f32`
1 702×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	351
1	80	351
2	187	351
3	546	351
4	1609	351
5	2481	351
6	3438	351
7	4984	351
8	5542	351
9	6803	351
10	7770	351
0	8065	351

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(* -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)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)

eval55.0ms (1.1%)

Memory: 3.9MiB live, 128.9MiB allocated
Compiler: Compiled 12 709 to 1 492 computations (88.3% saved)

prune47.0ms (0.9%)

Memory

13.1MiB live, 130.8MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	465	1	466
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	466	1	467

Accuracy

100.0%

Counts

467 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify17.0ms (0.3%)

Memory

-15.0MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
100×	`lower-*.f64`
100×	`lower-*.f32`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	9	17
1	15	17
2	25	17
3	34	17
4	52	17
5	70	17
6	99	17
7	147	17
8	294	17
9	415	17
10	425	17
11	433	17
12	434	17
0	434	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.4%)

Memory

-3.2MiB live, 35.9MiB allocated

Localize:

Found 3 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%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))

Samples

12.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 3.0ms (52.3% of total)

ival-sub: 1.0ms (17.4% of total)

ival-fabs: 1.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite206.0ms (4.1%)

Memory

-3.5MiB live, 306.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 610×	`lower-fma.f64`
3 610×	`lower-fma.f32`
2 758×	`lower-*.f64`
2 758×	`lower-*.f32`
2 348×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	9	14
1	37	14
2	263	14
3	5243	14
0	8954	14

Stop Event

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

Counts

3 → 193

Calls

Call 1

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

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

simplify35.0ms (0.7%)

Memory

10.3MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Rules

272×	`lower-fma.f64`
272×	`lower-fma.f32`
208×	`lower-*.f64`
208×	`lower-*.f32`
128×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	321
1	42	321
2	91	321
3	196	321
4	311	321
5	525	321
6	621	321
7	707	321
8	981	321
9	1010	321
10	1010	321
0	1010	321

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

eval31.0ms (0.6%)

Memory: 21.5MiB live, 58.1MiB allocated
Compiler: Compiled 5 128 to 618 computations (87.9% saved)

prune29.0ms (0.6%)

Memory

1.4MiB live, 50.7MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	263	2	265
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	263	3	266

Accuracy

100.0%

Counts

266 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(fabs.f64 (/.f64 x (neg.f64 y)))
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	47.7%	(fabs.f64 #s(literal 1 binary64))

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify15.0ms (0.3%)

Memory

-19.4MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

100×	`lower-*.f64`
100×	`lower-*.f32`
80×	`lower-fma.f64`
80×	`lower-fma.f32`
50×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	11	15
1	21	14
2	35	14
3	55	14
4	72	14
5	88	14
6	113	14
7	153	14
8	249	14
9	395	14
10	419	14
11	428	14
0	428	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

-2.7MiB live, 35.8MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (33.4% of total)

ival-fabs: 2.0ms (33.4% of total)

ival-neg: 1.0ms (16.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#<alt (fabs.f64 #s(literal 1 binary64))>
#<alt (fabs.f64 (/.f64 x (neg.f64 y)))>
#<alt (/.f64 x (neg.f64 y))>
#<alt (neg.f64 y)>

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

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ x (neg y))
0.0ms	y	@	0	(/ x (neg y))
0.0ms	y	@	inf	(neg y)
0.0ms	x	@	0	(fabs (/ x (neg y)))
0.0ms	x	@	inf	(fabs (/ x (neg y)))

rewrite376.0ms (7.5%)

Memory

23.1MiB live, 214.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 372×	`lower-fma.f64`
2 372×	`lower-fma.f32`
1 882×	`lower-*.f64`
1 882×	`lower-*.f32`
1 078×	`log-div`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	12
0	11	13
1	30	11
2	124	11
3	636	11
4	4635	8
0	8925	8

Stop Event

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

Counts

4 → 1 036

Calls

Call 1

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

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

simplify23.0ms (0.5%)

Memory

-15.6MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Rules

100×	`lower-*.f64`
100×	`lower-*.f32`
80×	`lower-fma.f64`
80×	`lower-fma.f32`
56×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	17	216
2	31	216
3	46	216
4	68	216
5	96	216
6	117	216
7	142	216
8	198	216
9	330	216
10	446	216
11	454	216
12	454	216
0	454	216

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

Outputs
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(fabs (* -1 (/ x y)))
(fabs.f64 (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (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 y)
(neg.f64 y)

eval125.0ms (2.5%)

Memory: 33.8MiB live, 252.6MiB allocated
Compiler: Compiled 16 408 to 1 365 computations (91.7% saved)

prune159.0ms (3.2%)

Memory

-35.8MiB live, 382.7MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 093	3	1 096
Fresh	0	0	0
Picked	2	0	2
Done	0	1	1
Total	1 095	4	1 099

Accuracy

100.0%

Counts

1 099 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.2%	(/.f64 (neg.f64 x) y)
▶	26.0%	(/.f64 x y)
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	47.7%	#s(literal 1 binary64)

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

28×	`lower-+.f64`
28×	`lower-+.f32`
22×	`sub-neg`
20×	`lower--.f64`
20×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	9	14
1	15	14
2	23	14
3	32	14
4	40	14
5	50	14
6	66	14
7	74	14
8	77	14
0	77	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

2.2MiB live, 41.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

16.0ms

256×

valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

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

ival-neg: 5.0ms (56% of total)

ival-div: 4.0ms (44.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite254.0ms (5%)

Memory

-26.2MiB live, 208.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 564×	`lower-fma.f64`
1 564×	`lower-fma.f32`
1 316×	`lower-*.f64`
1 316×	`lower-*.f32`
1 022×	`log-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	8
1	25	8
2	107	8
3	644	8
4	5166	7
0	8814	7

Stop Event

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

Counts

3 → 488

Calls

Call 1

Inputs
(/.f64 x y)
(/.f64 (neg.f64 x) y)
(neg.f64 x)

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

simplify10.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`lower-+.f64`
28×	`lower-+.f32`
24×	`sub-neg`
20×	`lower--.f64`
20×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	192
1	11	192
2	18	192
3	25	192
4	33	192
5	39	192
6	50	192
7	68	192
8	73	192
9	74	192
0	74	192

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

Outputs
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval119.0ms (2.4%)

Memory: -19.2MiB live, 69.7MiB allocated
Compiler: Compiled 6 224 to 513 computations (91.8% saved)

prune41.0ms (0.8%)

Memory

29.0MiB live, 102.7MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	548	0	548
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	548	4	552

Accuracy

100.0%

Counts

552 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.2%	(/.f64 (neg.f64 x) y)
✓	26.0%	(/.f64 x y)
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	47.7%	#s(literal 1 binary64)

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes13.0ms (0.3%)

Memory

-30.1MiB live, 19.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
3.0ms	x
2.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
76.7%	3	`x`
77.2%	3	`y`
98.4%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory

-19.2MiB live, 20.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
2.0ms	x
2.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
59.7%	3	`x`
61.4%	3	`y`
74.5%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
69.3%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fabs.f64 #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.7%	1	`x`
47.7%	1	`y`
47.7%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0695964026540228	263814244966.2475

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	263814244966.2475	50653662318302.55

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0695964026540228	263814244966.2475

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify16.0ms (0.3%)

Memory

2.5MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`unsub-neg_binary64`
50×	`neg-mul-1_binary64`
48×	`sub-neg_binary64`
30×	`+-commutative_binary64`
30×	`fabs-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	42	51
2	61	51
3	79	51
4	93	51
5	133	51
6	186	51
7	196	51
8	212	51
9	223	51
10	235	51
11	253	51
12	266	51
13	272	51
14	274	51
15	280	51
16	280	51

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (fabs.f64 (/.f64 x (neg.f64 y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 500000000000 binary64)) #s(literal 1 binary64) (/.f64 (neg.f64 x) y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)

Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (fabs.f64 (/.f64 x (neg.f64 y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (fabs.f64 (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 500000000000 binary64)) #s(literal 1 binary64) (/.f64 (neg.f64 x) y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)

soundness603.0ms (12%)

Memory

-0.9MiB live, 309.7MiB allocated

Rules

4 452×	`lower-/.f32`
4 450×	`lower-/.f64`
3 554×	`lower-fma.f64`
3 554×	`lower-fma.f32`
3 366×	`lower-*.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	40	15
2	252	15
3	2330	15
0	8712	15
0	19	321
1	42	321
2	91	321
3	196	321
4	311	321
5	525	321
6	621	321
7	707	321
8	981	321
9	1010	321
10	1010	321
0	1010	321
0	7	12
0	11	13
1	30	11
2	124	11
3	636	11
4	4635	8
0	8925	8

Stop Event

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

Compiler

Compiled 177 to 118 computations (33.3% saved)

preprocess42.0ms (0.8%)

Memory: -0.3MiB live, 90.1MiB allocated
Compiler: Compiled 124 to 52 computations (58.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	41
1	47	37
2	93	37
3	176	37
4	254	37
5	308	37
6	342	37
7	358	37
8	368	37
9	372	37
10	377	37
11	383	37
12	383	37
0	6	7
0	10	7
1	14	7
2	21	7
3	29	7
4	48	7
5	95	7
6	149	7
7	172	7
8	186	7
9	198	7
10	198	7
0	198	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	14	18
2	21	18
3	29	18
4	48	18
5	95	18
6	149	18
7	172	18
8	186	18
9	198	18
10	198	18
0	198	18

Iter	Nodes	Cost
0	6	17
0	9	17
1	15	17
2	25	17
3	34	17
4	52	17
5	70	17
6	99	17
7	147	17
8	294	17
9	415	17
10	425	17
11	433	17
12	434	17
0	434	17

Iter	Nodes	Cost
0	7	15
0	11	15
1	21	14
2	35	14
3	55	14
4	72	14
5	88	14
6	113	14
7	153	14
8	249	14
9	395	14
10	419	14
11	428	14
0	428	14

Iter	Nodes	Cost
0	7	240
1	17	216
2	31	216
3	46	216
4	68	216
5	96	216
6	117	216
7	142	216
8	198	216
9	330	216
10	446	216
11	454	216
12	454	216
0	454	216

Iter	Nodes	Cost
0	6	192
1	11	192
2	18	192
3	25	192
4	33	192
5	39	192
6	50	192
7	68	192
8	73	192
9	74	192
0	74	192

Iter	Nodes	Cost
0	22	52
1	42	51
2	61	51
3	79	51
4	93	51
5	133	51
6	186	51
7	196	51
8	212	51
9	223	51
10	235	51
11	253	51
12	266	51
13	272	51
14	274	51
15	280	51
16	280	51

Iter	Nodes	Cost
0	18	41
1	47	37
2	93	37
3	176	37
4	254	37
5	308	37
6	342	37
7	358	37
8	368	37
9	372	37
10	377	37
11	383	37
12	383	37
0	6	7
0	10	7
1	14	7
2	21	7
3	29	7
4	48	7
5	95	7
6	149	7
7	172	7
8	186	7
9	198	7
10	198	7
0	198	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	14	18
2	21	18
3	29	18
4	48	18
5	95	18
6	149	18
7	172	18
8	186	18
9	198	18
10	198	18
0	198	18

Iter	Nodes	Cost
0	6	17
0	9	17
1	15	17
2	25	17
3	34	17
4	52	17
5	70	17
6	99	17
7	147	17
8	294	17
9	415	17
10	425	17
11	433	17
12	434	17
0	434	17

Iter	Nodes	Cost
0	7	15
0	11	15
1	21	14
2	35	14
3	55	14
4	72	14
5	88	14
6	113	14
7	153	14
8	249	14
9	395	14
10	419	14
11	428	14
0	428	14

Iter	Nodes	Cost
0	7	240
1	17	216
2	31	216
3	46	216
4	68	216
5	96	216
6	117	216
7	142	216
8	198	216
9	330	216
10	446	216
11	454	216
12	454	216
0	454	216

Iter	Nodes	Cost
0	6	192
1	11	192
2	18	192
3	25	192
4	33	192
5	39	192
6	50	192
7	68	192
8	73	192
9	74	192
0	74	192

Iter	Nodes	Cost
0	22	52
1	42	51
2	61	51
3	79	51
4	93	51
5	133	51
6	186	51
7	196	51
8	212	51
9	223	51
10	235	51
11	253	51
12	266	51
13	272	51
14	274	51
15	280	51
16	280	51

analyze12.0ms (0.2%)

sample2.0s (40%)

preprocess78.0ms (1.5%)

explain117.0ms (2.3%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify12.0ms (0.2%)

localize20.0ms (0.4%)

series5.0ms (0.1%)

rewrite289.0ms (5.7%)

simplify173.0ms (3.4%)

eval55.0ms (1.1%)

prune47.0ms (0.9%)

simplify17.0ms (0.3%)

localize19.0ms (0.4%)

series4.0ms (0.1%)

rewrite206.0ms (4.1%)

simplify35.0ms (0.7%)

eval31.0ms (0.6%)

prune29.0ms (0.6%)

simplify15.0ms (0.3%)

localize22.0ms (0.4%)

series1.0ms (0%)

rewrite376.0ms (7.5%)

simplify23.0ms (0.5%)

eval125.0ms (2.5%)

prune159.0ms (3.2%)

simplify6.0ms (0.1%)

localize22.0ms (0.4%)

series1.0ms (0%)

rewrite254.0ms (5%)

simplify10.0ms (0.2%)

eval119.0ms (2.4%)

prune41.0ms (0.8%)

regimes13.0ms (0.3%)

regimes7.0ms (0.1%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.3%)

soundness603.0ms (12%)

preprocess42.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	41
1	47	37
2	93	37
3	176	37
4	254	37
5	308	37
6	342	37
7	358	37
8	368	37
9	372	37
10	377	37
11	383	37
12	383	37
0	6	7
0	10	7
1	14	7
2	21	7
3	29	7
4	48	7
5	95	7
6	149	7
7	172	7
8	186	7
9	198	7
10	198	7
0	198	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	14	18
2	21	18
3	29	18
4	48	18
5	95	18
6	149	18
7	172	18
8	186	18
9	198	18
10	198	18
0	198	18

Iter	Nodes	Cost
0	6	17
0	9	17
1	15	17
2	25	17
3	34	17
4	52	17
5	70	17
6	99	17
7	147	17
8	294	17
9	415	17
10	425	17
11	433	17
12	434	17
0	434	17

Iter	Nodes	Cost
0	7	15
0	11	15
1	21	14
2	35	14
3	55	14
4	72	14
5	88	14
6	113	14
7	153	14
8	249	14
9	395	14
10	419	14
11	428	14
0	428	14

Iter	Nodes	Cost
0	7	240
1	17	216
2	31	216
3	46	216
4	68	216
5	96	216
6	117	216
7	142	216
8	198	216
9	330	216
10	446	216
11	454	216
12	454	216
0	454	216

Iter	Nodes	Cost
0	6	192
1	11	192
2	18	192
3	25	192
4	33	192
5	39	192
6	50	192
7	68	192
8	73	192
9	74	192
0	74	192

Iter	Nodes	Cost
0	22	52
1	42	51
2	61	51
3	79	51
4	93	51
5	133	51
6	186	51
7	196	51
8	212	51
9	223	51
10	235	51
11	253	51
12	266	51
13	272	51
14	274	51
15	280	51
16	280	51