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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample911.0ms (14.4%)

Memory

-13.2MiB live, 930.0MiB allocated

Samples

689.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 353.0ms

ival-sub: 151.0ms (42.7% of total)

ival-div: 113.0ms (32% of total)

ival-fabs: 80.0ms (22.6% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain62.0ms (1%)

Memory

17.4MiB live, 138.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-fabs: 5.0ms (42.3% of total)

ival-sub: 3.0ms (25.4% of total)

ival-div: 3.0ms (25.4% of total)

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

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

preprocess170.0ms (2.7%)

Memory

-14.2MiB live, 205.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	65	37
2	166	37
3	457	37
4	1416	37
5	4170	37
0	6	7
0	10	7
1	20	7
2	42	7
3	122	7
4	572	7
5	2300	7
6	4131	7
7	6543	7
0	8081	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify166.0ms (2.6%)

Memory

1.7MiB live, 116.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	20	18
2	42	18
3	122	18
4	572	18
5	2300	18
6	4131	18
7	6543	18
0	8081	18

Stop Event

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

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

-10.1MiB live, 26.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0	(fabs.f64 y)
accuracy	0.015625	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Samples

15.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-fabs: 5.0ms (56.4% of total)

ival-div: 2.0ms (22.6% of total)

ival-sub: 1.0ms (11.3% of total)

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

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

series4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

4 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify113.0ms (1.8%)

Memory

-5.1MiB live, 110.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	56
1	99	56
2	269	56
3	813	56
4	2305	56
5	4802	56
0	8060	56

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite135.0ms (2.1%)

Memory

31.7MiB live, 187.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	14
1	45	14
2	336	12
0	4249	12

Stop Event

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

Counts

4 → 390

Calls

Call 1

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

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

eval42.0ms (0.7%)

Memory: -6.4MiB live, 116.7MiB allocated
Compiler: Compiled 4 656 to 721 computations (84.5% saved)

prune9.0ms (0.1%)

Memory

-13.7MiB live, 24.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	260	6	266
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	261	6	267

Accuracy

100.0%

Counts

267 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.5%	(/.f64 (-.f64 x y) y)
▶	56.1%	(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) (fabs.f64 (.f64 (+.f64 y x) y)))
	18.9%	(/.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) y))
▶	27.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
▶	47.3%	(*.f64 (-.f64 x y) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
▶	100.0%	(fabs.f64 (/.f64 (-.f64 y x) y))

Compiler

Compiled 118 to 88 computations (25.4% saved)

simplify165.0ms (2.6%)

Memory

-9.2MiB live, 149.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	109
0	41	109
1	85	109
2	216	107
3	764	107
4	4484	107
0	8981	107

Stop Event

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

Calls

Call 1

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

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

localize476.0ms (7.5%)

Memory

-2.0MiB live, 81.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (*.f64 (+.f64 y x) y))
accuracy	0.00390625	(*.f64 (+.f64 y x) y)
accuracy	1.253892488027801	(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy	27.38143840350692	(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) (fabs.f64 (.f64 (+.f64 y x) y)))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(-.f64 x y)
accuracy	0	(fabs.f64 (/.f64 #s(literal -1 binary64) y))
accuracy	0.1640625	(*.f64 (-.f64 x y) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(-.f64 x y)
accuracy	0.015625	(/.f64 (-.f64 x y) y)
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0	(-.f64 y x)
accuracy	0	(fabs.f64 (/.f64 (-.f64 y x) y))
accuracy	0.015625	(/.f64 (-.f64 y x) y)

Samples

257.0ms

256×

valid

Compiler

Compiled 223 to 47 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-add: 220.0ms (90% of total)

ival-div: 8.0ms (3.3% of total)

ival-mult: 6.0ms (2.5% of total)

ival-fabs: 5.0ms (2% of total)

ival-sub: 4.0ms (1.6% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

16 → 61

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (- (/ x y) 1) (/ x y) (/ (- x y) y) (- x y) (* (- x y) (fabs (/ -1 y))) (fabs (/ -1 y)) (/ -1 y) (/ (fabs (+ (* (neg y) y) (* x x))) (fabs (* (+ y x) y))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (neg y) (* (+ y x) y) (fabs (* (+ y x) y)))
3.0ms	x	@	0	((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (- (/ x y) 1) (/ x y) (/ (- x y) y) (- x y) (* (- x y) (fabs (/ -1 y))) (fabs (/ -1 y)) (/ -1 y) (/ (fabs (+ (* (neg y) y) (* x x))) (fabs (* (+ y x) y))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (neg y) (* (+ y x) y) (fabs (* (+ y x) y)))
3.0ms	y	@	inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (- (/ x y) 1) (/ x y) (/ (- x y) y) (- x y) (* (- x y) (fabs (/ -1 y))) (fabs (/ -1 y)) (/ -1 y) (/ (fabs (+ (* (neg y) y) (* x x))) (fabs (* (+ y x) y))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (neg y) (* (+ y x) y) (fabs (* (+ y x) y)))
3.0ms	x	@	inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (- (/ x y) 1) (/ x y) (/ (- x y) y) (- x y) (* (- x y) (fabs (/ -1 y))) (fabs (/ -1 y)) (/ -1 y) (/ (fabs (+ (* (neg y) y) (* x x))) (fabs (* (+ y x) y))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (neg y) (* (+ y x) y) (fabs (* (+ y x) y)))
2.0ms	y	@	-inf	((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (- (/ x y) 1) (/ x y) (/ (- x y) y) (- x y) (* (- x y) (fabs (/ -1 y))) (fabs (/ -1 y)) (/ -1 y) (/ (fabs (+ (* (neg y) y) (* x x))) (fabs (* (+ y x) y))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (neg y) (* (+ y x) y) (fabs (* (+ y x) y)))

simplify266.0ms (4.2%)

Memory

-26.7MiB live, 163.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	356
1	352	318
2	1148	308
3	4187	308
0	8113	308

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 59

Calls

Call 1

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

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

rewrite273.0ms (4.3%)

Memory

6.9MiB live, 294.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	88
0	41	71
1	172	71
2	1350	71
0	8549	71

Stop Event

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

Counts

16 → 3 282

Calls

Call 1

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

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

eval166.0ms (2.6%)

Memory: 13.8MiB live, 163.6MiB allocated
Compiler: Compiled 17 722 to 2 457 computations (86.1% saved)

prune16.0ms (0.3%)

Memory

10.9MiB live, 48.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	931	4	935
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	936	5	941

Accuracy

100.0%

Counts

941 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
▶	73.6%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	51.1%	(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
▶	1.3%	#s(approx (- (/ x y) 1) #s(literal -1 binary64))
▶	27.2%	#s(approx (* (- x y) (fabs (/ -1 y))) (/.f64 x (fabs.f64 y)))

Compiler

Compiled 38 to 34 computations (10.5% saved)

simplify201.0ms (3.2%)

Memory

-17.2MiB live, 179.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	56
0	25	56
1	49	56
2	89	54
3	200	54
4	621	54
5	1893	54
6	3024	54
7	4077	54
8	5107	54
9	5422	54
10	5882	54
11	6646	54
12	7180	54
0	9975	54

Stop Event

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

Calls

Call 1

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

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

localize56.0ms (0.9%)

Memory

18.8MiB live, 108.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0	(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
accuracy	32.038934174948764	#s(approx (/ (- y x) y) #s(literal 1 binary64))
accuracy	32.038934174948764	#s(approx (- (/ x y) 1) #s(literal -1 binary64))
accuracy	0	(/.f64 x (fabs.f64 y))
accuracy	0	(fabs.f64 y)
accuracy	31.076858179317302	#s(approx (* (- x y) (fabs (/ -1 y))) (/.f64 x (fabs.f64 y)))

Samples

46.0ms

256×

valid

Compiler

Compiled 103 to 40 computations (61.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sub: 24.0ms (65.1% of total)

ival-div: 7.0ms (19% of total)

ival-fabs: 4.0ms (10.8% of total)

ival-mult: 2.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series116.0ms (1.8%)

Memory

-27.7MiB live, 9.9MiB allocated

Counts

8 → 25

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
108.0ms	x	@	-inf	((* (- x y) (fabs (/ -1 y))) (/ x (fabs y)) (fabs y) (- (/ x y) 1) (fabs (/ (- y x) y)) (/ (- y x) y) (- 1 (/ x y)) (/ x y))
4.0ms	x	@	0	((* (- x y) (fabs (/ -1 y))) (/ x (fabs y)) (fabs y) (- (/ x y) 1) (fabs (/ (- y x) y)) (/ (- y x) y) (- 1 (/ x y)) (/ x y))
1.0ms	x	@	inf	((* (- x y) (fabs (/ -1 y))) (/ x (fabs y)) (fabs y) (- (/ x y) 1) (fabs (/ (- y x) y)) (/ (- y x) y) (- 1 (/ x y)) (/ x y))
1.0ms	y	@	-inf	((* (- x y) (fabs (/ -1 y))) (/ x (fabs y)) (fabs y) (- (/ x y) 1) (fabs (/ (- y x) y)) (/ (- y x) y) (- 1 (/ x y)) (/ x y))
1.0ms	y	@	inf	((* (- x y) (fabs (/ -1 y))) (/ x (fabs y)) (fabs y) (- (/ x y) 1) (fabs (/ (- y x) y)) (/ (- y x) y) (- 1 (/ x y)) (/ x y))

simplify96.0ms (1.5%)

Memory

16.7MiB live, 87.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	163
1	179	127
2	564	117
3	1735	117
4	4309	117
0	8058	117

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

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

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

rewrite165.0ms (2.6%)

Memory

18.0MiB live, 176.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	49
0	25	49
1	115	47
2	812	42
0	10209	42

Stop Event

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

Counts

8 → 370

Calls

Call 1

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

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

eval48.0ms (0.8%)

Memory: 2.3MiB live, 88.4MiB allocated
Compiler: Compiled 5 865 to 725 computations (87.6% saved)

prune66.0ms (1.1%)

Memory

-18.8MiB live, 18.9MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	330	2	332
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	331	6	337

Accuracy

100.0%

Counts

337 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	73.6%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	51.1%	(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
▶	27.6%	#s(approx (/ (- y x) y) (/.f64 x y))
✓	1.3%	#s(approx (- (/ x y) 1) #s(literal -1 binary64))
▶	25.9%	#s(approx (* (- x y) (fabs (/ -1 y))) (/.f64 (neg.f64 x) y))

Compiler

Compiled 47 to 40 computations (14.9% saved)

simplify175.0ms (2.8%)

Memory

-6.4MiB live, 74.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ (- y x) y) (/.f64 x y))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (* (- x y) (fabs (/ -1 y))) (/.f64 (neg.f64 x) y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	35
0	17	35
1	34	35
2	78	33
3	173	33
4	475	33
5	1201	33
6	2233	33
7	3351	33
8	5020	33
9	6401	33
10	7100	33
11	7805	33
0	8006	33

Stop Event

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

Calls

Call 1

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

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

localize30.0ms (0.5%)

Memory

14.8MiB live, 52.8MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	62.67380290572399	#s(approx (/ (- y x) y) (/.f64 x y))
accuracy	0	(/.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	45.973770478154506	#s(approx (* (- x y) (fabs (/ -1 y))) (/.f64 (neg.f64 x) y))

Samples

23.0ms

256×

valid

Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 7.0ms (45.7% of total)

ival-sub: 3.0ms (19.6% of total)

ival-mult: 2.0ms (13% of total)

ival-neg: 2.0ms (13% of total)

ival-fabs: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

5 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify156.0ms (2.5%)

Memory

-4.2MiB live, 71.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	117
1	132	85
2	432	69
3	1288	69
4	3052	69
5	6506	69
0	8085	69

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite174.0ms (2.8%)

Memory

-34.1MiB live, 108.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	31
0	17	31
1	77	29
2	560	28
0	6426	28

Stop Event

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

Counts

5 → 111

Calls

Call 1

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

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

eval11.0ms (0.2%)

Memory: 24.4MiB live, 24.4MiB allocated
Compiler: Compiled 1 917 to 350 computations (81.7% saved)

prune8.0ms (0.1%)

Memory

-22.9MiB live, 15.6MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	0	0
Picked	0	2	2
Done	2	2	4
Total	120	5	125

Accuracy

100.0%

Counts

125 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	73.6%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	27.6%	#s(approx (/ (- y x) y) (/.f64 x y))
	51.1%	#s(approx (/ (- y x) y) #s(literal 1 binary64))
✓	25.9%	#s(approx (* (- x y) (fabs (/ -1 y))) (/.f64 (neg.f64 x) y))

Compiler

Compiled 167 to 86 computations (48.5% saved)

regimes14.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
5.0ms	x
4.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes45.0ms (0.7%)

Memory

-22.7MiB live, 22.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
83.8%	3	`x`
73.6%	1	`y`
76.3%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
83.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.2%	4	`y`
74.3%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
74.0%	4	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.3%)

Memory

-29.2MiB live, 9.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
2.0ms	y
2.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
51.1%	1	`y`
51.1%	1	`x`
51.1%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x y) 1) #s(literal -1 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
1.3%	1	`x`
1.3%	1	`y`
1.3%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch51.0ms (0.8%)

Memory

-4.4MiB live, 33.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	2.696506493246293e+41	6.07752748674256e+48
10.0ms	-6.322242935678016e+201	-5.591864654708866e+198

Samples

12.0ms

272×

valid

Compiler

Compiled 252 to 260 computations (-3.2% saved)

Precisions

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

ival-fabs: 3.0ms (48.4% of total)

ival-sub: 2.0ms (32.3% of total)

ival-div: 2.0ms (32.3% of total)

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

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

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.696506493246293e+41	6.07752748674256e+48
1.0ms	-6.322242935678016e+201	-5.591864654708866e+198

Compiler

Compiled 284 to 268 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000020295472	21.50098074116702

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify113.0ms (1.8%)

Memory

-7.7MiB live, 73.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	111
1	53	111
2	67	111
3	87	111
4	134	111
5	189	111
6	226	111
7	276	111
8	320	111
9	364	111
10	404	111
11	453	111
12	500	111
13	523	111
14	530	111

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(if (<=.f64 x #s(literal -74999999999999997729984165938277124460587745659126771986181313212760136326665556650647253803529688901020634311980411806136601800776208863479538780785429908403267693300092486358386359979625346641166336 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5799999999999999767528059173801854482143445516288 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (* (- x y) (fabs (/ -1 y))) (/.f64 x (fabs.f64 y)))))
(if (<=.f64 x #s(literal -74999999999999997729984165938277124460587745659126771986181313212760136326665556650647253803529688901020634311980411806136601800776208863479538780785429908403267693300092486358386359979625346641166336 binary64)) #s(approx (/ (- y x) y) (/.f64 x y)) (if (<=.f64 x #s(literal 5799999999999999767528059173801854482143445516288 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (* (- x y) (fabs (/ -1 y))) (/.f64 x (fabs.f64 y)))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(approx (/ (- y x) y) #s(literal 1 binary64)) #s(approx (/ (- y x) y) (/.f64 x y)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
#s(approx (- (/ x y) 1) #s(literal -1 binary64))

Outputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(if (<=.f64 x #s(literal -74999999999999997729984165938277124460587745659126771986181313212760136326665556650647253803529688901020634311980411806136601800776208863479538780785429908403267693300092486358386359979625346641166336 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5799999999999999767528059173801854482143445516288 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (* (- x y) (fabs (/ -1 y))) (/.f64 x (fabs.f64 y)))))
(if (<=.f64 x #s(literal -74999999999999997729984165938277124460587745659126771986181313212760136326665556650647253803529688901020634311980411806136601800776208863479538780785429908403267693300092486358386359979625346641166336 binary64)) #s(approx (/ (- y x) y) (/.f64 x y)) (if (<=.f64 x #s(literal 5799999999999999767528059173801854482143445516288 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (* (- x y) (fabs (/ -1 y))) (/.f64 x (fabs.f64 y)))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(approx (/ (- y x) y) #s(literal 1 binary64)) #s(approx (/ (- y x) y) (/.f64 x y)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 x y) y)) #s(literal 2 binary64)) #s(approx (/ (- y x) y) #s(literal 1 binary64)) #s(approx (/ (- y x) y) (/.f64 x y)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
#s(approx (- (/ x y) 1) #s(literal -1 binary64))

soundness1.6s (26.2%)

Memory

16.1MiB live, 532.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	117
1	132	85
2	432	69
3	1288	69
4	3052	69
5	6506	69
0	8085	69
0	22	88
0	41	71
1	172	71
2	1350	71
0	8549	71
0	6	16
0	10	14
1	45	14
2	336	12
0	4249	12
0	101	356
1	352	318
2	1148	308
3	4187	308
0	8113	308
0	20	49
0	25	49
1	115	47
2	812	42
0	10209	42

Stop Event

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

Compiler

Compiled 327 to 206 computations (37% saved)

preprocess68.0ms (1.1%)

Memory: 17.1MiB live, 92.3MiB allocated
Compiler: Compiled 236 to 84 computations (64.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	37	111
1	53	111
2	67	111
3	87	111
4	134	111
5	189	111
6	226	111
7	276	111
8	320	111
9	364	111
10	404	111
11	453	111
12	500	111
13	523	111
14	530	111

Iter	Nodes	Cost
0	37	111
1	53	111
2	67	111
3	87	111
4	134	111
5	189	111
6	226	111
7	276	111
8	320	111
9	364	111
10	404	111
11	453	111
12	500	111
13	523	111
14	530	111

start0.0ms (0%)

analyze12.0ms (0.2%)

sample911.0ms (14.4%)

explain62.0ms (1%)

preprocess170.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify166.0ms (2.6%)

localize20.0ms (0.3%)

series4.0ms (0.1%)

simplify113.0ms (1.8%)

rewrite135.0ms (2.1%)

eval42.0ms (0.7%)

prune9.0ms (0.1%)

simplify165.0ms (2.6%)

localize476.0ms (7.5%)

series18.0ms (0.3%)

simplify266.0ms (4.2%)

rewrite273.0ms (4.3%)

eval166.0ms (2.6%)

prune16.0ms (0.3%)

simplify201.0ms (3.2%)

localize56.0ms (0.9%)

series116.0ms (1.8%)

simplify96.0ms (1.5%)

rewrite165.0ms (2.6%)

eval48.0ms (0.8%)

prune66.0ms (1.1%)

simplify175.0ms (2.8%)

localize30.0ms (0.5%)

series5.0ms (0.1%)

simplify156.0ms (2.5%)

rewrite174.0ms (2.8%)

eval11.0ms (0.2%)

prune8.0ms (0.1%)

regimes14.0ms (0.2%)

regimes45.0ms (0.7%)

regimes3.0ms (0.1%)

regimes8.0ms (0.1%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch51.0ms (0.8%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

simplify113.0ms (1.8%)

soundness1.6s (26.2%)

preprocess68.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	37	111
1	53	111
2	67	111
3	87	111
4	134	111
5	189	111
6	226	111
7	276	111
8	320	111
9	364	111
10	404	111
11	453	111
12	500	111
13	523	111
14	530	111