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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample441.0ms (17.6%)

Memory

8.6MiB live, 166.9MiB allocated

Samples

271.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-sqrt: 49.0ms (34.7% of total)

ival-sub: 47.0ms (33.2% of total)

ival-fabs: 38.0ms (26.9% of total)

ival-true: 5.0ms (3.5% of total)

ival-assert: 2.0ms (1.4% of total)

Bogosity

explain41.0ms (1.6%)

Memory

-1.4MiB live, 24.5MiB 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

Total Time

11.082763671875

Average Time

0.04329204559326172

Samples

19.0ms

512×

valid

Compiler

Compiled 51 to 24 computations (52.9% saved)

Precisions

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

ival-sub: 3.0ms (34% of total)

ival-sqrt: 3.0ms (34% of total)

ival-fabs: 2.0ms (22.7% of total)

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

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

preprocess16.0ms (0.6%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

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
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify5.0ms (0.2%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	12	14
2	19	14
3	27	14
4	46	14
5	93	14
6	144	14
7	165	14
8	173	14
0	173	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.6%)

Memory

-1.6MiB live, 6.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Samples

9.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sqrt: 2.0ms (46.4% of total)

ival-sub: 1.0ms (23.2% of total)

ival-fabs: 1.0ms (23.2% of total)

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

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

series2.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

3 → 14

Calls

Call 1

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

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

Calls

6 calls:

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

simplify116.0ms (4.6%)

Memory

-1.2MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	48
1	79	48
2	186	48
3	544	48
4	1591	48
5	2431	48
6	3312	48
7	4897	48
8	5404	48
9	5780	48
10	6301	48
11	6955	48
12	7691	48
0	8068	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

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

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

rewrite125.0ms (5%)

Memory

0.5MiB live, 48.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	29	12
2	181	12
3	1675	12
0	8378	12

Stop Event

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

Counts

3 → 322

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (sqrt.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (pow.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 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)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 y x))) (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (fabs.f64 (-.f64 y x)))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 (+.f64 y x) y) (.f64 x x))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 (+.f64 y x) y) (.f64 x x))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (-.f64 y x)))
(.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 y x)))))
(.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 y x)))))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) (fabs.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal -1 binary64))))
(.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x y))))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fabs.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (fabs.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval36.0ms (1.5%)

Memory: -3.8MiB live, 27.7MiB allocated
Compiler: Compiled 8 751 to 1 405 computations (83.9% saved)

prune4.0ms (0.2%)

Memory

4.4MiB live, 12.3MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	323	3	326
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	323	4	327

Accuracy

100.0%

Counts

327 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.6%	(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
▶	57.0%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Compiler

Compiled 39 to 29 computations (25.6% saved)

simplify107.0ms (4.3%)

Memory

-0.9MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (neg.f64 y) y (*.f64 x x))
cost-diff	0	(fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))))
cost-diff	1536	(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
cost-diff	1408	(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	128
0	33	112
1	54	112
2	88	112
3	187	88
4	478	80
5	959	80
6	2617	80
7	7095	80
0	8313	80

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(+.f64 y x)
y
x
(/.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))))
(fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(+.f64 y x)

Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
(fabs.f64 (-.f64 y x))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(-.f64 x y)
(+.f64 y x)
y
x
(/.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)))
(fabs.f64 (-.f64 y x))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(-.f64 x y)
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(+.f64 y x)

localize50.0ms (2%)

Memory

0.2MiB live, 19.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))))
accuracy	2.749969723661162	(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy	27.698945831371052	(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
accuracy	0	(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
accuracy	0.033535009768442016	(/.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.03515625	(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
accuracy	28.503687572745758	#s(approx (- x y) (neg.f64 y))

Samples

29.0ms

256×

valid

Compiler

Compiled 253 to 37 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 4.0ms (20.9% of total)

ival-sqrt: 4.0ms (20.9% of total)

ival-div: 3.0ms (15.7% of total)

ival-fabs: 3.0ms (15.7% of total)

ival-add: 2.0ms (10.4% of total)

ival-sub: 1.0ms (5.2% of total)

ival-neg: 1.0ms (5.2% of total)

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

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

series11.0ms (0.4%)

Memory

-2.4MiB live, 5.1MiB allocated

Counts

13 → 54

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 y x)
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))))
(fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(/.f64 (-.f64 x y) (+.f64 y x))

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

Calls

6 calls:

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

simplify145.0ms (5.8%)

Memory

5.1MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	573
1	527	540
2	1398	498
3	5981	486
0	8134	458

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 52

Calls

Call 1

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

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

rewrite151.0ms (6%)

Memory

-4.5MiB live, 67.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	112
0	33	112
1	110	64
2	798	64
0	9681	64

Stop Event

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

Counts

13 → 1 448

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 y x)
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))))
(fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(/.f64 (-.f64 x y) (+.f64 y x))

Outputs
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 (-.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(*.f64 #s(literal 1 binary64) #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) y)
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 y #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) y)
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(.f64 (.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 y x))) (-.f64 y x))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 y x)))) (-.f64 y x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x (-.f64 x y)))) #s(literal 1 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(.f64 (.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (-.f64 x y))
(*.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))))
(*.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (+.f64 y x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 y y (.f64 x (-.f64 x y))) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (/.f64 (+.f64 y x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 y y (.f64 x (-.f64 x y))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (/.f64 (pow.f64 (fma.f64 y y (.f64 x (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))))
(.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 y x) (pow.f64 (fma.f64 y y (.f64 x (-.f64 x y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (-.f64 y x) (fma.f64 (neg.f64 y) y (.f64 x x))))
(.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x (-.f64 x y)))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x (-.f64 x y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (.f64 x (-.f64 x y))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x (-.f64 x y)))) #s(literal 1 binary64)) (fma.f64 y y (.f64 x (-.f64 x y))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 y x)) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (-.f64 x y)) (pow.f64 (fma.f64 y y (.f64 x (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (fma.f64 y y (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 (-.f64 y x) (+.f64 y x)))
(.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (.f64 (-.f64 y x) (-.f64 x y)))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
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(fma.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 x y) x) (+.f64 y x)) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 y (+.f64 y x)) (-.f64 x y))))
(fma.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 y) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x)) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x)) (/.f64 y (-.f64 (neg.f64 y) x)))
(fma.f64 (.f64 x (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (*.f64 y y) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (.f64 y y) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (*.f64 x (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x (+.f64 y x)) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 y (+.f64 y x))))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x (+.f64 y x)) (neg.f64 (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64))))
(fma.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 y (+.f64 y x))))
(fma.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 x (+.f64 y x)))
(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))
(fma.f64 x (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 x (+.f64 y x))) (.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 y (+.f64 y x))))
(fma.f64 x (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 x (+.f64 y x))) (neg.f64 (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64))))
(fma.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 y (-.f64 (neg.f64 y) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (.f64 (/.f64 y (+.f64 y x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (.f64 (/.f64 y (+.f64 y x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 y x) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (fma.f64 y y (.f64 x x)))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 y y (.f64 x x)))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 x x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 y x)) (+.f64 y x)) (/.f64 (/.f64 (.f64 y y) (+.f64 y x)) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (+.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) (/.f64 (-.f64 y x) (+.f64 y x)))
(-.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) (+.f64 y x)))
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) y) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)))
(+.f64 (.f64 (.f64 x (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 y y) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 x (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 y (+.f64 y x)) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (/.f64 y (+.f64 y x)) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (/.f64 y (+.f64 y x)) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 y (+.f64 y x)) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) (.f64 (/.f64 y (-.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 x (-.f64 x y))) (.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)) (.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 x (-.f64 x y))))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 (/.f64 y (+.f64 y x)) (-.f64 x y))))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 (/.f64 y (+.f64 y x)) (-.f64 x y))) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 (/.f64 y (+.f64 y x)) (-.f64 x y))) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 x y) x) (+.f64 y x))))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 x y) x) (+.f64 y x))) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 (/.f64 y (+.f64 y x)) (-.f64 x y))))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 y)) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 y)))
(+.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 x (+.f64 y x)))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 y (+.f64 y x))))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64))))
(+.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(+.f64 (/.f64 x (+.f64 y x)) (/.f64 y (-.f64 (neg.f64 y) x)))

eval169.0ms (6.7%)

Memory: 2.3MiB live, 119.7MiB allocated
Compiler: Compiled 33 368 to 5 548 computations (83.4% saved)

prune19.0ms (0.8%)

Memory

-3.6MiB live, 47.0MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1 316	2	1 318
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	1 318	4	1 322

Accuracy

100.0%

Counts

1 322 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.9%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 y x))))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶	33.0%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)))))
✓	57.0%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Compiler

Compiled 45 to 35 computations (22.2% saved)

simplify102.0ms (4.1%)

Memory

-0.9MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 y x))
cost-diff	0	(fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 y x)))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 y x))))
cost-diff	0	#s(approx (- x y) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)))
cost-diff	0	(fabs.f64 #s(approx (- x y) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (- x y) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)))))
cost-diff	1344	(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	129
0	32	123
1	51	107
2	84	101
3	155	101
4	352	101
5	1380	101
6	2453	101
7	4023	101
0	8743	101

Stop Event

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

Calls

Call 1

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

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

localize37.0ms (1.5%)

Memory

1.5MiB live, 16.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 y x)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 y x))))
accuracy	27.698945831371052	(/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 y x))
accuracy	31.87958521912064	#s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))
accuracy	0	(fabs.f64 #s(approx (- x y) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (- x y) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)))))
accuracy	27.889134605288678	(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
accuracy	28.503687572745758	#s(approx (- x y) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)))

Samples

27.0ms

256×

valid

Compiler

Compiled 217 to 39 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 4.0ms (23.2% of total)

ival-div: 3.0ms (17.4% of total)

ival-sqrt: 3.0ms (17.4% of total)

ival-add: 2.0ms (11.6% of total)

ival-fabs: 2.0ms (11.6% of total)

ival-sub: 1.0ms (5.8% of total)

ival-neg: 1.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory

-4.3MiB live, 3.3MiB allocated

Counts

8 → 27

Calls

Call 1

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

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

Calls

6 calls:

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

simplify93.0ms (3.7%)

Memory

5.7MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	112
1	150	112
2	352	112
3	1335	112
4	4362	112
5	6379	112
0	8056	112

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(sqrt (fabs (/ (+ (* -1 (pow y 2)) (pow x 2)) (+ x y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs (/ (+ (* -1 (pow y 2)) (pow x 2)) (+ x y)))
(fabs.f64 (-.f64 y x))
(+ x (* -1 y))
(-.f64 x y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(sqrt (fabs (/ (+ (* -1 (pow y 2)) (pow x 2)) (- y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs (/ (+ (* -1 (pow y 2)) (pow x 2)) (- y (* -1 x))))
(fabs.f64 (-.f64 y x))
(* y (- (/ x y) 1))
(-.f64 x y)
(sqrt (fabs (/ (- (pow x 2) (pow y 2)) (+ x y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs (/ (- (pow x 2) (pow y 2)) (+ x y)))
(fabs.f64 (-.f64 y x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(sqrt (fabs (/ (- (pow x 2) (pow y 2)) (- x (* -1 y)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs (/ (- (pow x 2) (pow y 2)) (- x (* -1 y))))
(fabs.f64 (-.f64 y x))

rewrite125.0ms (5%)

Memory

-3.6MiB live, 29.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	110
0	32	102
1	105	82
2	614	82
0	6485	82

Stop Event

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

Counts

8 → 171

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y))
(.f64 (/.f64 (.f64 y y) (*.f64 y y)) (neg.f64 y))
(.f64 (.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y)))
(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 y) y))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(.f64 (neg.f64 y) (/.f64 (.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 y #s(literal -1 binary64))
(neg.f64 y)
(fma.f64 (/.f64 (.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) (.f64 y y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (neg.f64 y) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (/.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 (-.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(*.f64 #s(literal 1 binary64) #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(.f64 (sqrt.f64 (fabs.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (fabs.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)))) (sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)))))
(.f64 (sqrt.f64 (fabs.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)))) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fabs.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fabs.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 x y))) (fabs.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y)))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 x y)))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 (+.f64 x y) #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y))))
(exp.f64 (.f64 (log.f64 (fabs.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fabs.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x))) (fabs.f64 (fma.f64 x x (.f64 (neg.f64 y) y)))) (fabs.f64 (-.f64 y x)))
(.f64 (/.f64 (fabs.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x))) (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
(.f64 (fabs.f64 (/.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) (-.f64 y x))) (fabs.f64 (-.f64 y x)))
(.f64 (fabs.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
(.f64 (neg.f64 (fabs.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 x y)))))
(.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y))) (fabs.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x))))
(.f64 (fabs.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x))) (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y))))
(.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y))))
(pow.f64 (fabs.f64 (/.f64 (+.f64 x y) #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (.f64 (fabs.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x))) #s(literal 1 binary64)) (fabs.f64 (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 x y)))))
(/.f64 (neg.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)))) (neg.f64 (fabs.f64 (+.f64 x y))))
(/.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (fabs.f64 (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 (+.f64 x y) #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 (+.f64 x y) #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 x y) #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)))) (fabs.f64 (+.f64 x y))))
(neg.f64 (/.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (neg.f64 (fabs.f64 (+.f64 x y)))))
(fabs.f64 (-.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (-.f64 (neg.f64 y) x)))
(fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)))
(.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (fma.f64 x x (.f64 (neg.f64 y) y))) (-.f64 x y))
(.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
(.f64 (/.f64 (neg.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x))) (.f64 (-.f64 y x) (+.f64 x y))) (-.f64 x y))
(.f64 (/.f64 (neg.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) (-.f64 y x))) (-.f64 y x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (.f64 y y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(.f64 (pow.f64 (/.f64 (+.f64 x y) #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) (-.f64 y x)) (-.f64 y x))
(.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 (neg.f64 y) y))) (.f64 (-.f64 y x) #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x))))
(.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x))))
(.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)))
(.f64 (-.f64 y x) (/.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) (-.f64 y x)))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (neg.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (-.f64 (neg.f64 y) x)))
(.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) #s(literal -1 binary64)) (+.f64 x y))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 x y)) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 x y) y (.f64 x x)))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 x y)) (-.f64 y x)) (.f64 (-.f64 y x) (+.f64 x y))) (+.f64 x y))
(/.f64 (.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)))
(/.f64 (.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)))) (-.f64 (neg.f64 y) x))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (neg.f64 y) x))
(/.f64 (.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 (+.f64 x y) y (.f64 x x))))
(/.f64 (.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (.f64 (-.f64 y x) (+.f64 x y))) (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y)))
(/.f64 (.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (.f64 y y) (*.f64 (-.f64 x y) x))))
(/.f64 (.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 y x) #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x))) (.f64 (-.f64 y x) (+.f64 x y)))
(/.f64 (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (-.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 y) x) #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))))
(/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))))
(neg.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (-.f64 (neg.f64 y) x)))
(fma.f64 (/.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 x x)) (+.f64 x y)) (-.f64 y x)) y (.f64 (/.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) (-.f64 y x)) (neg.f64 x)))
(fma.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 x y) x) (.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)))
(fma.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y) (.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 x y) x)))
(fma.f64 (.f64 (-.f64 x y) x) (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 y y) (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (.f64 y y) (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 (-.f64 x y) x) (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 y (/.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 x x)) (+.f64 x y)) (-.f64 y x)) (.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) (-.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (-.f64 (neg.f64 y) x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (-.f64 (neg.f64 y) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x y) #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)))) #s(literal -1 binary64)))
(+.f64 (.f64 y (/.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 x y)) (-.f64 y x))) (.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) (-.f64 y x))))
(+.f64 (.f64 (.f64 (-.f64 x y) x) (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 x y) x) (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 x y)) (-.f64 y x)) y) (.f64 (/.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 x y)) (-.f64 y x)) (neg.f64 x)))
(+.f64 (.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 x y) x)) (.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)))
(+.f64 (.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)) (.f64 (/.f64 #s(approx (+ ( (neg y) y) (* x x)) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 x y) x)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x))))
(.f64 #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) y) (* x x)) (*.f64 x x)))
#s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))
(neg.f64 (neg.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))))

eval20.0ms (0.8%)

Memory: 1.4MiB live, 16.0MiB allocated
Compiler: Compiled 3 970 to 680 computations (82.9% saved)

prune10.0ms (0.4%)

Memory

-2.9MiB live, 7.4MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	179	4	183

Accuracy

100.0%

Counts

183 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.9%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 y x))))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶	33.0%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y)))))
✓	57.0%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify164.0ms (6.6%)

Memory

3.7MiB live, 42.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- x y) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y)))
cost-diff	0	(fabs.f64 #s(approx (- x y) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y))))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (- x y) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y)))))
cost-diff	1216	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	51
0	15	51
1	22	47
2	36	47
3	55	31
4	83	31
5	155	31
6	444	31
7	1506	31
8	2301	31
9	3431	31
10	4211	31
11	5548	31
12	6415	31
13	6799	31
0	8312	31

Stop Event

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

Calls

Call 1

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

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

localize21.0ms (0.9%)

Memory

1.6MiB live, 9.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 #s(approx (- x y) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y))))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (- x y) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y)))))
accuracy	27.889134605288678	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y))
accuracy	28.503687572745758	#s(approx (- x y) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y)))

Samples

16.0ms

256×

valid

Compiler

Compiled 80 to 21 computations (73.8% saved)

Precisions

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

ival-mult: 3.0ms (32.5% of total)

ival-div: 2.0ms (21.7% of total)

ival-sqrt: 2.0ms (21.7% of total)

ival-sub: 1.0ms (10.8% of total)

ival-fabs: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

-6.6MiB live, 1.2MiB allocated

Counts

4 → 14

Calls

Call 1

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

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

Calls

6 calls:

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

simplify115.0ms (4.6%)

Memory

5.3MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	48
1	79	48
2	186	48
3	544	48
4	1591	48
5	2431	48
6	3313	48
7	4898	48
8	5406	48
9	5782	48
10	6303	48
11	6966	48
12	7694	48
0	8071	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

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

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

rewrite54.0ms (2.1%)

Memory

0.1MiB live, 7.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	43
0	15	43
1	47	39
2	229	23
0	1615	23

Stop Event

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

Counts

4 → 44

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: -3.2MiB live, 4.4MiB allocated
Compiler: Compiled 542 to 177 computations (67.3% saved)

prune3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	47	4	51

Accuracy

100.0%

Counts

51 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.9%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)) (+.f64 y x))))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	33.0%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y y)))))
✓	57.0%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Compiler

Compiled 128 to 76 computations (40.6% saved)

regimes14.0ms (0.6%)

Memory

-7.9MiB live, 10.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(-.f64 x y)
3.0ms	x
3.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms	(fabs.f64 (-.f64 x y))
3.0ms	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 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.5%)

Memory

7.5MiB live, 7.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Calls

5 calls:

7.0ms	(-.f64 x y)
1.0ms	x
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	y

Results

Accuracy	Segments	Branch
57.0%	1	`x`
57.0%	1	`y`
57.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
57.0%	1	`(fabs.f64 (-.f64 x y))`
57.0%	1	`(-.f64 x y)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify20.0ms (0.8%)

Memory

-5.3MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	22	13
3	26	13
4	28	13
5	29	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

soundness202.0ms (8.1%)

Memory

0.6MiB live, 0.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	48
1	79	48
2	186	48
3	544	48
4	1591	48
5	2431	48
6	3312	48
7	4897	48
8	5404	48
9	5780	48
10	6301	48
11	6955	48
12	7691	48
0	8068	48

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 17 to 15 computations (11.8% saved)

preprocess42.0ms (1.7%)

Memory: 4.7MiB live, 12.8MiB allocated
Remove: (sort x y)
Compiler: Compiled 56 to 50 computations (10.7% 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
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	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
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	5

start0.0ms (0%)

analyze0.0ms (0%)

sample441.0ms (17.6%)

explain41.0ms (1.6%)

preprocess16.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize15.0ms (0.6%)

series2.0ms (0.1%)

simplify116.0ms (4.6%)

rewrite125.0ms (5%)

eval36.0ms (1.5%)

prune4.0ms (0.2%)

simplify107.0ms (4.3%)

localize50.0ms (2%)

series11.0ms (0.4%)

simplify145.0ms (5.8%)

rewrite151.0ms (6%)

eval169.0ms (6.7%)

prune19.0ms (0.8%)

simplify102.0ms (4.1%)

localize37.0ms (1.5%)

series5.0ms (0.2%)

simplify93.0ms (3.7%)

rewrite125.0ms (5%)

eval20.0ms (0.8%)

prune10.0ms (0.4%)

simplify164.0ms (6.6%)

localize21.0ms (0.9%)

series2.0ms (0.1%)

simplify115.0ms (4.6%)

rewrite54.0ms (2.1%)

eval5.0ms (0.2%)

prune3.0ms (0.1%)

regimes14.0ms (0.6%)

regimes12.0ms (0.5%)

simplify20.0ms (0.8%)

soundness202.0ms (8.1%)

preprocess42.0ms (1.7%)

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
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	5