Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, E

analyze8.0ms (0.2%)

Memory

-18.0MiB live, 20.7MiB 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
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample787.0ms (17.9%)

Memory

-3.7MiB live, 1 119.2MiB allocated

Samples

371.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-div: 70.0ms (54.4% of total)

ival-sub: 50.0ms (38.9% of total)

ival-true: 6.0ms (4.7% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

preprocess76.0ms (1.7%)

Memory

-1.8MiB live, 74.7MiB allocated

Algorithm

2×	egg-herbie

Rules

368×	`times-frac`
244×	`div-sub`
192×	`accelerator-lowering-fma.f32`
192×	`accelerator-lowering-fma.f64`
176×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	49	32
2	134	30
3	364	30
4	860	30
5	1240	30
6	1293	30
7	1333	30
8	1384	30
9	1396	30
0	4	5
1	9	5
2	17	5
3	30	5
4	53	5
5	86	5
6	127	5
7	257	5
8	545	5
9	607	5
10	625	5
11	649	5
12	650	5
0	650	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- x y) x)

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

Call 2

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

Outputs
(/ (- x y) x)
(- 1 (/ y x))
(/ (- (neg x) y) (neg x))
(/ (+ x y) x)
(/ (- x (neg y)) x)
(/ (+ x y) x)
(neg (/ (- (neg x) y) (neg x)))
(- -1 (/ y x))
(neg (/ (- x (neg y)) x))
(- -1 (/ y x))
(/ (- y x) y)
(- 1 (/ x y))

explain71.0ms (1.6%)

Memory

19.5MiB live, 102.4MiB allocated

FPErrors

Click to see full error table

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

21.0ms

512×

valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (52.8% of total)

ival-sub: 3.0ms (39.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify20.0ms (0.5%)

Memory

-11.7MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

192×	`accelerator-lowering-fma.f32`
192×	`accelerator-lowering-fma.f64`
166×	`div-sub`
128×	`-lowering-.f32`
128×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	9	10
2	17	10
3	30	10
4	53	10
5	86	10
6	127	10
7	257	10
8	545	10
9	607	10
10	625	10
11	649	10
12	650	10
0	650	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize16.0ms (0.4%)

Memory

2.6MiB live, 41.3MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (42.7% of total)

ival-div: 2.0ms (42.7% of total)

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

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

series3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite394.0ms (8.9%)

Memory

-11.7MiB live, 543.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 762×	`/-lowering-/.f32`
4 762×	`/-lowering-/.f64`
3 702×	`-lowering-.f32`
3 702×	`-lowering-.f64`
2 232×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	30	8
2	234	8
3	2379	8
0	8413	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 431

Calls

Call 1

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

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

simplify220.0ms (5%)

Memory

2.7MiB live, 310.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 396×	`accelerator-lowering-fma.f32`
4 396×	`accelerator-lowering-fma.f64`
3 102×	`-lowering-.f32`
3 102×	`-lowering-.f64`
2 164×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	168
1	78	168
2	219	168
3	572	168
4	1463	168
5	2897	168
6	3935	168
7	4729	168
8	5049	168
9	5290	168
10	7635	168
0	8026	168

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval56.0ms (1.3%)

Memory: 1.4MiB live, 134.2MiB allocated
Compiler: Compiled 13 144 to 1 287 computations (90.2% saved)

prune124.0ms (2.8%)

Memory

-1.4MiB live, 112.4MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	476	3	479
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	476	4	480

Accuracy

100.0%

Counts

480 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) x)
▶	45.2%	(/.f64 (neg.f64 y) x)
▶	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
▶	55.4%	#s(literal 1 binary64)

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify7.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	14	20
2	23	20
3	35	20
4	47	20
5	63	20
6	85	20
7	99	20
8	105	20
0	105	20

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (0.6%)

Memory

-5.1MiB live, 40.8MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-div: 8.0ms (77.8% of total)

ival-sub: 1.0ms (9.7% of total)

ival-neg: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

21 calls:

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

rewrite860.0ms (19.5%)

Memory

-11.0MiB live, 261.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 592×	`accelerator-lowering-fma.f32`
2 592×	`accelerator-lowering-fma.f64`
2 162×	`-lowering-.f32`
2 162×	`-lowering-.f64`
1 852×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	38	13
2	268	13
3	5039	12
0	9717	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 287

Calls

Call 1

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

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

simplify244.0ms (5.5%)

Memory

13.1MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	315
1	37	297
2	84	297
3	184	297
4	276	297
5	466	297
6	546	297
7	620	297
8	862	297
9	883	297
10	883	297
0	883	297

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

Calls

Call 1

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

eval471.0ms (10.7%)

Memory: -10.5MiB live, 64.4MiB allocated
Compiler: Compiled 5 539 to 532 computations (90.4% saved)

prune305.0ms (6.9%)

Memory

32.0MiB live, 71.2MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	370	1	371
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	370	5	375

Accuracy

100.0%

Counts

375 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) x)
✓	45.2%	(/.f64 (neg.f64 y) x)
▶	2.4%	(/.f64 y x)
✓	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	55.4%	#s(literal 1 binary64)

Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify25.0ms (0.6%)

Memory

-43.9MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	3	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ y x)
y
x

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

localize11.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated

Localize:

Found 1 expressions of interest:

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

Samples

7.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 2.0ms (86.3% of total)

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

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

series0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (/ y x)>

Outputs
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>

Calls

6 calls:

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

rewrite79.0ms (1.8%)

Memory

-1.5MiB live, 75.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

520×	`-lowering-.f32`
520×	`-lowering-.f64`
470×	`/-lowering-/.f32`
470×	`/-lowering-/.f64`
134×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	11	3
2	46	3
3	215	3
0	1204	3

Stop Event

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

Counts

1 → 58

Calls

Call 1

Inputs
(/ y x)

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

simplify5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	72
0	3	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

eval8.0ms (0.2%)

Memory: 16.2MiB live, 16.2MiB allocated
Compiler: Compiled 618 to 134 computations (78.3% saved)

prune41.0ms (0.9%)

Memory

-8.1MiB live, 29.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	82	5	87

Accuracy

100.0%

Counts

87 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) x)
✓	45.2%	(/.f64 (neg.f64 y) x)
✓	2.4%	(/.f64 y x)
✓	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	55.4%	#s(literal 1 binary64)

Compiler

Compiled 48 to 28 computations (41.7% saved)

regimes13.0ms (0.3%)

Memory

-18.6MiB live, 21.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
2.0ms	x
2.0ms	(/.f64 (-.f64 x y) x)

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
78.1%	3	`x`
79.3%	3	`y`
97.3%	3	`(/.f64 (-.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -33.9b remaining (-119%)

Threshold costs -33.9b (-119%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.4%	1	`x`
55.4%	1	`y`
55.4%	1	`(/.f64 (-.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0045600958989063	81160.98385510138
0.0ms	-11630.463617579986	0.28308265295157803

Compiler

Compiled 10 to 9 computations (10% saved)

simplify11.0ms (0.2%)

Memory

-9.6MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	28	28
2	36	28
3	41	28
4	44	28
5	45	28

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal -10000 binary64)) (/.f64 (neg.f64 y) x) (if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))

#s(literal 1 binary64)

Outputs
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal -10000 binary64)) (/.f64 (neg.f64 y) x) (if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal -10000 binary64)) (neg.f64 (/.f64 y x)) (if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 y x))))
#s(literal 1 binary64)

soundness478.0ms (10.9%)

Memory

-7.5MiB live, 268.3MiB allocated

Rules

4 762×	`/-lowering-/.f32`
4 762×	`/-lowering-/.f64`
4 396×	`accelerator-lowering-fma.f32`
4 396×	`accelerator-lowering-fma.f64`
3 702×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	168
1	78	168
2	219	168
3	572	168
4	1463	168
5	2897	168
6	3935	168
7	4729	168
8	5049	168
9	5290	168
10	7635	168
0	8026	168
0	4	8
1	30	8
2	234	8
3	2379	8
0	8413	8

Stop Event

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

Compiler

Compiled 52 to 29 computations (44.2% saved)

preprocess32.0ms (0.7%)

Memory: 22.1MiB live, 99.0MiB allocated
Compiler: Compiled 94 to 46 computations (51.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	4	10
1	9	10
2	17	10
3	30	10
4	53	10
5	86	10
6	127	10
7	257	10
8	545	10
9	607	10
10	625	10
11	649	10
12	650	10
0	650	10

Iter	Nodes	Cost
0	17	315
1	37	297
2	84	297
3	184	297
4	276	297
5	466	297
6	546	297
7	620	297
8	862	297
9	883	297
10	883	297
0	883	297

Iter	Nodes	Cost
0	4	10
1	9	10
2	17	10
3	30	10
4	53	10
5	86	10
6	127	10
7	257	10
8	545	10
9	607	10
10	625	10
11	649	10
12	650	10
0	650	10

Iter	Nodes	Cost
0	17	315
1	37	297
2	84	297
3	184	297
4	276	297
5	466	297
6	546	297
7	620	297
8	862	297
9	883	297
10	883	297
0	883	297

analyze8.0ms (0.2%)

sample787.0ms (17.9%)

preprocess76.0ms (1.7%)

explain71.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.5%)

localize16.0ms (0.4%)

series3.0ms (0.1%)

rewrite394.0ms (8.9%)

simplify220.0ms (5%)

eval56.0ms (1.3%)

prune124.0ms (2.8%)

simplify7.0ms (0.2%)

localize26.0ms (0.6%)

series4.0ms (0.1%)

rewrite860.0ms (19.5%)

simplify244.0ms (5.5%)

eval471.0ms (10.7%)

prune305.0ms (6.9%)

simplify25.0ms (0.6%)

localize11.0ms (0.2%)

series0.0ms (0%)

rewrite79.0ms (1.8%)

simplify5.0ms (0.1%)

eval8.0ms (0.2%)

prune41.0ms (0.9%)

regimes13.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

soundness478.0ms (10.9%)

preprocess32.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	4	10
1	9	10
2	17	10
3	30	10
4	53	10
5	86	10
6	127	10
7	257	10
8	545	10
9	607	10
10	625	10
11	649	10
12	650	10
0	650	10

Iter	Nodes	Cost
0	17	315
1	37	297
2	84	297
3	184	297
4	276	297
5	466	297
6	546	297
7	620	297
8	862	297
9	883	297
10	883	297
0	883	297