Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample801.0ms (13.3%)

Memory

42.4MiB live, 629.2MiB allocated

Samples

423.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-fabs: 83.0ms (36.4% of total)

ival-sub: 82.0ms (35.9% of total)

ival-sqrt: 55.0ms (24.1% of total)

ival-true: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess158.0ms (2.6%)

Memory

-38.7MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
52×	`-lowering-.f32`
52×	`-lowering-.f64`
50×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
1	9	5
2	16	5
3	24	5
4	43	5
5	92	5
6	145	5
7	166	5
8	174	5
0	174	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))

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

Symmetry

(sort x y)

explain205.0ms (3.4%)

Memory

5.2MiB live, 80.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(-.f64 x y)`
-	-	`(sqrt.f64 (fabs.f64 (-.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

90.0ms

512×

valid

Compiler

Compiled 46 to 24 computations (47.8% saved)

Precisions

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

ival-sqrt: 4.0ms (41.2% of total)

ival-sub: 3.0ms (30.9% of total)

ival-fabs: 3.0ms (30.9% 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)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
52×	`-lowering-.f32`
52×	`-lowering-.f64`
36×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	9	14
2	16	14
3	24	14
4	43	14
5	92	14
6	145	14
7	166	14
8	174	14
0	174	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(- x y)
x
y

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

localize86.0ms (1.4%)

Memory

-6.1MiB live, 31.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

80.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-sqrt: 2.0ms (42.1% of total)

ival-sub: 1.0ms (21% of total)

ival-fabs: 1.0ms (21% of total)

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

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

series3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (sqrt (fabs (- x y)))>
#<alt (fabs (- x y))>
#<alt (- x y)>

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

Calls

18 calls:

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

rewrite459.0ms (7.6%)

Memory

17.6MiB live, 505.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 642×	`/-lowering-/.f32`
4 642×	`/-lowering-/.f64`
4 306×	`accelerator-lowering-fma.f32`
4 306×	`accelerator-lowering-fma.f64`
3 256×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
1	26	12
2	178	12
3	1670	12
0	8416	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 322

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(- x y)

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

simplify232.0ms (3.9%)

Memory

2.7MiB live, 201.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 658×	`accelerator-lowering-fma.f32`
2 658×	`accelerator-lowering-fma.f64`
2 540×	`-lowering-.f32`
2 540×	`-lowering-.f64`
1 964×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	279
1	79	279
2	186	279
3	544	279
4	1600	279
5	2441	279
6	3322	279
7	4909	279
8	5417	279
9	5793	279
10	6314	279
11	6979	279
12	7716	279
0	8093	279

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval54.0ms (0.9%)

Memory: -33.8MiB live, 132.3MiB allocated
Compiler: Compiled 12 555 to 1 387 computations (89% saved)

prune43.0ms (0.7%)

Memory

26.4MiB live, 145.2MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	389	5	394
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	389	6	395

Accuracy

100.0%

Counts

395 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
▶	50.0%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))))
▶	70.6%	(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶	52.5%	(sqrt.f64 (fabs.f64 (neg.f64 y)))
▶	51.2%	(sqrt.f64 (fabs.f64 x))

Compiler

Compiled 119 to 85 computations (28.6% saved)

simplify531.0ms (8.8%)

Memory

-14.3MiB live, 900.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (-.f64 x y) (+.f64 x y))
✓	cost-diff	0	(fabs.f64 (*.f64 (-.f64 x y) (+.f64 x y)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 x y) (+.f64 x y))))
✓	cost-diff	320	(.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))))
✓	cost-diff	0	(fabs.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) y)
✓	cost-diff	1344	(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (neg.f64 y)))
✓	cost-diff	128	(fabs.f64 (neg.f64 y))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x y))
✓	cost-diff	0	(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))

Rules

23 764×	`accelerator-lowering-fma.f32`
23 764×	`accelerator-lowering-fma.f64`
4 282×	`-lowering-.f32`
4 282×	`-lowering-.f64`
1 568×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	153
1	62	147
2	157	137
3	389	137
4	858	137
5	3596	137
0	8474	137

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (sqrt (fabs (/ 1 (- x y)))))
1
(sqrt (fabs (/ 1 (- x y))))
(fabs (/ 1 (- x y)))
(/ 1 (- x y))
(- x y)
x
y
(sqrt (fabs x))
(fabs x)
x
(sqrt (fabs (neg y)))
(fabs (neg y))
(neg y)
y
(sqrt (fabs (+ (* (* y (neg y)) (/ 1 (+ 0 y))) x)))
(fabs (+ (* (* y (neg y)) (/ 1 (+ 0 y))) x))
(+ (* (* y (neg y)) (/ 1 (+ 0 y))) x)
(* y (neg y))
y
(neg y)
(/ 1 (+ 0 y))
1
(+ 0 y)
0
x
(* (sqrt (fabs (* (- x y) (+ x y)))) (/ 1 (sqrt (fabs (+ x y)))))
(sqrt (fabs (* (- x y) (+ x y))))
(fabs (* (- x y) (+ x y)))
(* (- x y) (+ x y))
(- x y)
x
y
(+ x y)
(/ 1 (sqrt (fabs (+ x y))))
1
(sqrt (fabs (+ x y)))
(fabs (+ x y))

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

localize109.0ms (1.8%)

Memory

0.4MiB live, 281.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (+.f64 x y)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y))))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))))
✓	accuracy	51.7%	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 x y) (+.f64 x y))))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(fabs.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)))
✓	accuracy	71.1%	(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (neg.f64 y)))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(fabs.f64 (neg.f64 y))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 x y))
✓	accuracy	99.8%	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))

Samples

66.0ms

256×

valid

Compiler

Compiled 171 to 31 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-sqrt: 21.0ms (42.1% of total)

ival-mult: 9.0ms (18.1% of total)

ival-div: 7.0ms (14% of total)

ival-fabs: 7.0ms (14% of total)

ival-add: 3.0ms (6% of total)

ival-sub: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory

29.3MiB live, 65.8MiB allocated

Counts

19 → 384

Calls

Call 1

Inputs
#<alt (/ 1 (sqrt (fabs (/ 1 (- x y)))))>
#<alt (sqrt (fabs (/ 1 (- x y))))>
#<alt (fabs (/ 1 (- x y)))>
#<alt (/ 1 (- x y))>
#<alt (sqrt (fabs x))>
#<alt (fabs x)>
#<alt (fabs (neg y))>
#<alt (sqrt (fabs (neg y)))>
#<alt (neg y)>
#<alt (+ (* (* y (neg y)) (/ 1 (+ 0 y))) x)>
#<alt (+ 0 y)>
#<alt (sqrt (fabs (+ (* (* y (neg y)) (/ 1 (+ 0 y))) x)))>
#<alt (fabs (+ (* (* y (neg y)) (/ 1 (+ 0 y))) x))>
#<alt (* (sqrt (fabs (* (- x y) (+ x y)))) (/ 1 (sqrt (fabs (+ x y)))))>
#<alt (sqrt (fabs (* (- x y) (+ x y))))>
#<alt (fabs (* (- x y) (+ x y)))>
#<alt (* (- x y) (+ x y))>
#<alt (/ 1 (sqrt (fabs (+ x y))))>
#<alt (sqrt (fabs (+ x y)))>

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

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ 1 (sqrt (fabs (+ x y))))
2.0ms	y	@	0	(neg y)
1.0ms	y	@	inf	(sqrt (fabs (neg y)))
1.0ms	y	@	inf	(/ 1 (sqrt (fabs (/ 1 (- x y)))))
1.0ms	x	@	0	(/ 1 (sqrt (fabs (/ 1 (- x y)))))

rewrite75.0ms (1.2%)

Memory

-29.6MiB live, 127.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

530×	`-lowering-.f32`
530×	`-lowering-.f64`
470×	`/-lowering-/.f32`
470×	`/-lowering-/.f64`
408×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	113
1	147	91
0	1156	91

Stop Event

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

Counts

19 → 270

Calls

Call 1

Inputs
(/ 1 (sqrt (fabs (/ 1 (- x y)))))
(sqrt (fabs (/ 1 (- x y))))
(fabs (/ 1 (- x y)))
(/ 1 (- x y))
(sqrt (fabs x))
(fabs x)
(fabs (neg y))
(sqrt (fabs (neg y)))
(neg y)
(+ (* (* y (neg y)) (/ 1 (+ 0 y))) x)
(+ 0 y)
(sqrt (fabs (+ (* (* y (neg y)) (/ 1 (+ 0 y))) x)))
(fabs (+ (* (* y (neg y)) (/ 1 (+ 0 y))) x))
(* (sqrt (fabs (* (- x y) (+ x y)))) (/ 1 (sqrt (fabs (+ x y)))))
(sqrt (fabs (* (- x y) (+ x y))))
(fabs (* (- x y) (+ x y)))
(* (- x y) (+ x y))
(/ 1 (sqrt (fabs (+ x y))))
(sqrt (fabs (+ x y)))

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

simplify426.0ms (7.1%)

Memory

5.4MiB live, 607.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 150×	`accelerator-lowering-fma.f32`
15 150×	`accelerator-lowering-fma.f64`
3 734×	`-lowering-.f32`
3 734×	`-lowering-.f64`
2 060×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	2475
1	627	2105
2	1717	2070
3	6887	2069
0	8284	2057

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

eval244.0ms (4%)

Memory: 8.8MiB live, 151.7MiB allocated
Compiler: Compiled 8 812 to 1 191 computations (86.5% saved)

prune361.0ms (6%)

Memory

-151.4MiB live, 131.6MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	706	3	709
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	709	6	715

Accuracy

100.0%

Counts

715 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
▶	27.1%	(.f64 (sqrt.f64 (fabs.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))))
▶	70.6%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)) x)))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶	52.5%	(sqrt.f64 (fabs.f64 y))
✓	51.2%	(sqrt.f64 (fabs.f64 x))

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify273.0ms (4.5%)

Memory

-13.2MiB live, 232.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(fabs.f64 (*.f64 x x))
✓	cost-diff	320	(.f64 (sqrt.f64 (fabs.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))))
✓	cost-diff	832	(sqrt.f64 (fabs.f64 (*.f64 x x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(fabs.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)) x))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)) x)))
✓	cost-diff	1344	(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)) x)
✓	cost-diff	0	(fabs.f64 y)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 y))

Rules

4 296×	`-lowering-.f32`
4 296×	`-lowering-.f64`
2 626×	`accelerator-lowering-fma.f32`
2 626×	`accelerator-lowering-fma.f64`
2 148×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	96
1	41	84
2	84	69
3	166	69
4	367	69
5	1414	69
6	2044	69
7	4057	69
8	6836	69
0	8043	69

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize123.0ms (2%)

Memory

-6.7MiB live, 73.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (+.f64 x y)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y))))
✓	accuracy	99.6%	(.f64 (sqrt.f64 (fabs.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))))
✓	accuracy	54.7%	(sqrt.f64 (fabs.f64 (*.f64 x x)))
✓	accuracy	100.0%	(neg.f64 (*.f64 y y))
✓	accuracy	100.0%	(fabs.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)) x))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)) x)))
✓	accuracy	71.1%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)) x)
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 y))
✓	accuracy	100.0%	(fabs.f64 y)

Samples

36.0ms

256×

valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

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

ival-mult: 6.0ms (24.9% of total)

ival-sqrt: 6.0ms (24.9% of total)

ival-fabs: 5.0ms (20.7% of total)

ival-div: 4.0ms (16.6% of total)

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

ival-neg: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

13 → 228

Calls

Call 1

Inputs
#<alt (sqrt (fabs y))>
#<alt (fabs y)>
#<alt (+ (* (/ 1 y) (neg (* y y))) x)>
#<alt (sqrt (fabs (+ (* (/ 1 y) (neg (* y y))) x)))>
#<alt (fabs (+ (* (/ 1 y) (neg (* y y))) x))>
#<alt (/ 1 y)>
#<alt (sqrt (fabs (* x x)))>
#<alt (* (sqrt (fabs (* x x))) (/ 1 (sqrt (fabs (+ x y)))))>
#<alt (fabs (* x x))>
#<alt (* x x)>
#<alt (neg (* y y))>
#<alt (/ 1 (sqrt (fabs (+ x y))))>
#<alt (sqrt (fabs (+ x y)))>

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

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (sqrt (fabs (* x x))) (/ 1 (sqrt (fabs (+ x y)))))
1.0ms	y	@	-inf	(* (sqrt (fabs (* x x))) (/ 1 (sqrt (fabs (+ x y)))))
1.0ms	x	@	inf	(* (sqrt (fabs (* x x))) (/ 1 (sqrt (fabs (+ x y)))))
1.0ms	y	@	inf	(* (sqrt (fabs (* x x))) (/ 1 (sqrt (fabs (+ x y)))))
1.0ms	x	@	0	(* (sqrt (fabs (* x x))) (/ 1 (sqrt (fabs (+ x y)))))

rewrite92.0ms (1.5%)

Memory

-1.9MiB live, 35.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

316×	`accelerator-lowering-fma.f32`
316×	`accelerator-lowering-fma.f64`
296×	`-lowering-.f32`
296×	`-lowering-.f64`
196×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	91	57
0	565	57

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

13 → 122

Calls

Call 1

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

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

simplify393.0ms (6.5%)

Memory

1.9MiB live, 235.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 528×	`-lowering-.f32`
2 528×	`-lowering-.f64`
2 424×	`accelerator-lowering-fma.f32`
2 424×	`accelerator-lowering-fma.f64`
1 782×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	1107
1	123	1047
2	245	1023
3	718	1023
4	1890	1023
5	2922	1023
6	4706	1023
7	6807	1023
8	7901	1023
0	8004	1023

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval37.0ms (0.6%)

Memory: 30.0MiB live, 108.8MiB allocated
Compiler: Compiled 3 665 to 415 computations (88.7% saved)

prune17.0ms (0.3%)

Memory

5.6MiB live, 43.4MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	349	7	356

Accuracy

100.0%

Counts

356 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(/.f64 (fabs.f64 x) (sqrt.f64 (fabs.f64 (+.f64 y x))))
✓	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
▶	50.9%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))) (fabs.f64 x))
✓	70.6%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)) x)))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	52.5%	(sqrt.f64 (fabs.f64 y))
✓	51.2%	(sqrt.f64 (fabs.f64 x))

Compiler

Compiled 63 to 46 computations (27% saved)

simplify28.0ms (0.5%)

Memory

-30.8MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f64 (+.f64 y x))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (+.f64 y x)))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(/.f64 (fabs.f64 x) (sqrt.f64 (fabs.f64 (+.f64 y x))))
✓	cost-diff	0	(fabs.f64 (+.f64 y x))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (+.f64 y x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x))))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))) (fabs.f64 x))

Rules

16×	`-lowering-.f32`
16×	`-lowering-.f64`
6×	`associate-r`
4×	`*-commutative`
4×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	60
1	16	56
2	19	56
3	26	56
4	26	56
0	26	56

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 1 (sqrt (fabs (+ y x)))) (fabs x))
(/ 1 (sqrt (fabs (+ y x))))
1
(sqrt (fabs (+ y x)))
(fabs (+ y x))
(+ y x)
y
x
(fabs x)
(/ (fabs x) (sqrt (fabs (+ y x))))
(fabs x)
x
(sqrt (fabs (+ y x)))
(fabs (+ y x))
(+ y x)
y

Outputs
(* (/ 1 (sqrt (fabs (+ y x)))) (fabs x))
(/.f64 (fabs.f64 x) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/ 1 (sqrt (fabs (+ y x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x))))
1
#s(literal 1 binary64)
(sqrt (fabs (+ y x)))
(sqrt.f64 (fabs.f64 (+.f64 y x)))
(fabs (+ y x))
(fabs.f64 (+.f64 y x))
(+ y x)
(+.f64 y x)
y
x
(fabs x)
(fabs.f64 x)
(/ (fabs x) (sqrt (fabs (+ y x))))
(/.f64 (fabs.f64 x) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(fabs x)
(fabs.f64 x)
x
(sqrt (fabs (+ y x)))
(sqrt.f64 (fabs.f64 (+.f64 y x)))
(fabs (+ y x))
(fabs.f64 (+.f64 y x))
(+ y x)
(+.f64 y x)
y

localize56.0ms (0.9%)

Memory

0.7MiB live, 46.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 (+.f64 y x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (+.f64 y x)))
✓	accuracy	99.5%	(/.f64 (fabs.f64 x) (sqrt.f64 (fabs.f64 (+.f64 y x))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (+.f64 y x)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x))))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))) (fabs.f64 x))

Samples

42.0ms

256×

valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 3.0ms (27.8% of total)

ival-fabs: 3.0ms (27.8% of total)

ival-sqrt: 2.0ms (18.5% of total)

ival-add: 1.0ms (9.3% of total)

ival-mult: 1.0ms (9.3% 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

5.6MiB live, 5.6MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#<alt (* (/ 1 (sqrt (fabs (+ y x)))) (fabs x))>
#<alt (/ 1 (sqrt (fabs (+ y x))))>
#<alt (sqrt (fabs (+ y x)))>
#<alt (fabs (+ y x))>
#<alt (/ (fabs x) (sqrt (fabs (+ y x))))>
#<alt (fabs x)>

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

Calls

33 calls:

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

rewrite274.0ms (4.5%)

Memory

19.1MiB live, 603.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 622×	`/-lowering-/.f32`
4 622×	`/-lowering-/.f64`
3 882×	`accelerator-lowering-fma.f32`
3 882×	`accelerator-lowering-fma.f64`
3 086×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	47	33
2	243	33
3	1810	33
0	8180	33

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 293

Calls

Call 1

Inputs
(* (/ 1 (sqrt (fabs (+ y x)))) (fabs x))
(/ 1 (sqrt (fabs (+ y x))))
(sqrt (fabs (+ y x)))
(fabs (+ y x))
(/ (fabs x) (sqrt (fabs (+ y x))))
(fabs x)

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

simplify65.0ms (1.1%)

Memory

-27.2MiB live, 66.6MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
68×	`-lowering-.f32`
68×	`-lowering-.f64`
40×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	888
1	48	888
2	62	888
3	114	888
4	151	888
5	157	888
6	158	888
0	158	888

Stop Event

1×	iter limit
1×	saturated

Counts

132 → 132

Calls

Call 1

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

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

eval183.0ms (3%)

Memory: 8.4MiB live, 196.1MiB allocated
Compiler: Compiled 11 478 to 1 189 computations (89.6% saved)

prune58.0ms (1%)

Memory

23.0MiB live, 181.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	638	0	638
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	638	7	645

Accuracy

100.0%

Counts

645 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.9%	(/.f64 (fabs.f64 x) (sqrt.f64 (fabs.f64 (+.f64 y x))))
✓	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
✓	50.9%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))) (fabs.f64 x))
✓	70.6%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)) x)))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	52.5%	(sqrt.f64 (fabs.f64 y))
✓	51.2%	(sqrt.f64 (fabs.f64 x))

Compiler

Compiled 161 to 94 computations (41.6% saved)

regimes29.0ms (0.5%)

Memory

-6.4MiB live, 68.1MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 x))
(sqrt.f64 (fabs.f64 y))
(sqrt.f64 (fabs.f64 (neg.f64 y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(/.f64 (fabs.f64 x) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))) (fabs.f64 x))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)))
(.f64 (sqrt.f64 (fabs.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))))

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

Calls

5 calls:

11.0ms	x
6.0ms	(fabs.f64 (-.f64 x y))
4.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
4.0ms	(-.f64 x y)
4.0ms	y

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes10.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 x))
(sqrt.f64 (fabs.f64 y))
(sqrt.f64 (fabs.f64 (neg.f64 y)))

Outputs
(sqrt.f64 (fabs.f64 x))
(sqrt.f64 (fabs.f64 y))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
80.0%	2	`x`
88.1%	2	`y`
58.4%	3	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
58.4%	3	`(fabs.f64 (-.f64 x y))`
58.4%	3	`(-.f64 x y)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-20.5MiB live, 18.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 x))

Outputs
(sqrt.f64 (fabs.f64 x))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.2%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
51.2%	1	`(fabs.f64 (-.f64 x y))`
51.2%	1	`(-.f64 x y)`
51.2%	1	`x`
51.2%	1	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch14.0ms (0.2%)

Memory

-10.2MiB live, 29.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.9071806961015375e-76	3.8082605366760763e-56

Samples

7.0ms

176×

valid

Compiler

Compiled 142 to 120 computations (15.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (30.9% of total)

ival-fabs: 1.0ms (30.9% of total)

ival-sqrt: 1.0ms (30.9% of total)

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

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

simplify8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	16	18
2	23	18
3	28	18
4	31	18
5	32	18

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal 8061239733051379/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 y)))

(sqrt.f64 (fabs.f64 x))

Outputs

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

(if (<=.f64 y #s(literal 8061239733051379/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 y)))

(sqrt.f64 (fabs.f64 x))

soundness483.0ms (8%)

Memory

-32.6MiB live, 146.8MiB allocated

Rules

2 658×	`accelerator-lowering-fma.f32`
2 658×	`accelerator-lowering-fma.f64`
2 540×	`-lowering-.f32`
2 540×	`-lowering-.f64`
1 964×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	113
1	147	91
0	1156	91
0	30	279
1	79	279
2	186	279
3	544	279
4	1600	279
5	2441	279
6	3322	279
7	4909	279
8	5417	279
9	5793	279
10	6314	279
11	6979	279
12	7716	279
0	8093	279

Stop Event

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

preprocess43.0ms (0.7%)

Memory: 13.2MiB live, 50.9MiB allocated
Remove: (sort x y)
Compiler: Compiled 82 to 54 computations (34.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
1	9	5
2	16	5
3	24	5
4	43	5
5	92	5
6	145	5
7	166	5
8	174	5
0	174	5

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
1	9	5
2	16	5
3	24	5
4	43	5
5	92	5
6	145	5
7	166	5
8	174	5
0	174	5

analyze0.0ms (0%)

sample801.0ms (13.3%)

preprocess158.0ms (2.6%)

explain205.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize86.0ms (1.4%)

series3.0ms (0%)

rewrite459.0ms (7.6%)

simplify232.0ms (3.9%)

eval54.0ms (0.9%)

prune43.0ms (0.7%)

simplify531.0ms (8.8%)

localize109.0ms (1.8%)

series30.0ms (0.5%)

rewrite75.0ms (1.2%)

simplify426.0ms (7.1%)

eval244.0ms (4%)

prune361.0ms (6%)

simplify273.0ms (4.5%)

localize123.0ms (2%)

series8.0ms (0.1%)

rewrite92.0ms (1.5%)

simplify393.0ms (6.5%)

eval37.0ms (0.6%)

prune17.0ms (0.3%)

simplify28.0ms (0.5%)

localize56.0ms (0.9%)

series4.0ms (0.1%)

rewrite274.0ms (4.5%)

simplify65.0ms (1.1%)

eval183.0ms (3%)

prune58.0ms (1%)

regimes29.0ms (0.5%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch14.0ms (0.2%)

simplify8.0ms (0.1%)

soundness483.0ms (8%)

preprocess43.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
1	9	5
2	16	5
3	24	5
4	43	5
5	92	5
6	145	5
7	166	5
8	174	5
0	174	5