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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.6%)

Memory

20.9MiB live, 20.9MiB 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)

sample611.0ms (27.6%)

Memory

16.2MiB live, 911.1MiB allocated

Samples

383.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-fabs: 86.0ms (40% of total)

ival-sub: 62.0ms (28.8% of total)

ival-div: 57.0ms (26.5% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain56.0ms (2.6%)

Memory

19.4MiB live, 96.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-fabs: 5.0ms (41.3% of total)

ival-sub: 3.0ms (24.8% of total)

ival-div: 3.0ms (24.8% of total)

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

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

preprocess280.0ms (12.7%)

Memory

-171.3MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	45	41
2	69	41
3	135	41
4	243	41
5	333	41
6	343	41
7	346	41
0	6	7
0	10	7
1	16	7
2	24	7
3	50	7
4	96	7
5	130	7
6	134	7
7	137	7
0	137	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB 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	16	18
2	24	18
3	50	18
4	96	18
5	130	18
6	134	18
7	137	18
0	137	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (1.1%)

Memory

-10.4MiB live, 39.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.0	(fabs.f64 y)
accuracy	0.01171875	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 3.0ms (43% of total)

ival-fabs: 2.0ms (28.7% of total)

ival-sub: 1.0ms (14.3% of total)

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

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

series4.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB 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))

simplify121.0ms (5.5%)

Memory

-18.6MiB live, 93.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	56
1	90	56
2	258	56
3	747	56
4	2051	56
5	3480	56
6	5545	56
7	7769	56
0	8216	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)

rewrite118.0ms (5.4%)

Memory

12.4MiB live, 170.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	14
1	37	14
2	220	12
3	2325	12
0	10093	12

Stop Event

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

Counts

4 → 468

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

eval40.0ms (1.8%)

Memory: -10.6MiB live, 69.6MiB allocated
Compiler: Compiled 5 968 to 873 computations (85.4% saved)

prune4.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	291	2	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	292	2	294

Accuracy

100.0%

Counts

294 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
▶	70.5%	(-.f64 #s(literal 1 binary64) (/.f64 x y))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify4.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	9	22
1	11	22
0	11	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (1.8%)

Memory

-9.9MiB live, 28.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (40.7% of total)

ival-sub: 2.0ms (40.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

3 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

simplify19.0ms (0.9%)

Memory

-22.6MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	48	49
2	93	49
3	151	49
4	318	49
5	549	49
6	807	49
7	874	49
8	985	49
0	985	49

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

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

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

rewrite109.0ms (4.9%)

Memory

12.4MiB live, 171.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	36	13
2	236	13
3	3716	13
0	8565	13

Stop Event

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

Counts

3 → 199

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))))
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(/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -2 binary64))) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))))
(expm1.f64 (/.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(expm1.f64 (log.f64 (/.f64 x y)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 x y) #s(literal 1 binary64))

eval47.0ms (2.1%)

Memory: -4.8MiB live, 41.6MiB allocated
Compiler: Compiled 5 024 to 571 computations (88.6% saved)

prune4.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	245	2	247
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	245	4	249

Accuracy

100.0%

Counts

249 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	70.5%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	30.1%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
▶	44.7%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify4.0ms (0.2%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
0	11	26
1	14	26
2	16	26
0	16	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (2%)

Memory

-11.1MiB live, 26.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	26.140881471071893	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	36.21517582172413	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-div: 4.0ms (54.9% of total)

ival-sub: 2.0ms (27.4% of total)

ival-neg: 1.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

4 → 7

Calls

Call 1

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

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

Calls

6 calls:

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

simplify22.0ms (1%)

Memory

-14.8MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	35	27
2	55	27
3	82	27
4	150	27
5	283	27
6	369	27
7	598	27
8	707	27
9	836	27
10	961	27
11	1066	27
0	1066	27

Stop Event

1×	iter limit
1×	saturated

Counts

7 → 7

Calls

Call 1

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

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

rewrite168.0ms (7.6%)

Memory

10.3MiB live, 128.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	11	23
1	32	23
2	163	23
3	1979	23
0	8642	23

Stop Event

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

Counts

4 → 17

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 4.5MiB live, 4.5MiB allocated
Compiler: Compiled 229 to 55 computations (76% saved)

prune3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	20	4	24

Accuracy

100.0%

Counts

24 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	70.5%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	30.1%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
✓	44.7%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes16.0ms (0.7%)

Memory

-20.4MiB live, 18.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
2.0ms	y
2.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.6%	2	`x`
74.4%	3	`y`
75.1%	3	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.5%	1	`y`
70.5%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
70.5%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.3%)

Memory

-26.5MiB live, 12.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
1.0ms	x
1.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
57.0%	3	`x`
57.1%	3	`y`
70.3%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
44.7%	1	`x`
44.7%	1	`y`
44.7%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch19.0ms (0.9%)

Memory

-22.1MiB live, 23.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-3.5651257407002564e+224	-5.696884218917619e+220

Samples

13.0ms

128×

valid

Compiler

Compiled 90 to 107 computations (-18.9% saved)

Precisions

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

ival-sub: 1.0ms (33.4% of total)

ival-div: 1.0ms (33.4% of total)

ival-fabs: 1.0ms (33.4% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1212545.7197524942	140419763.66377488

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify67.0ms (3%)

Memory

38.2MiB live, 73.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	42	58
2	76	58
3	123	58
4	238	58
5	498	58
6	801	58
7	824	58
8	878	58
9	1148	58
10	3993	58

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(if (<=.f64 x #s(literal -500000000000000023300903587410348784202542904974688430710490229009341390661543149786383856107097856160516988297992744932658630833003449045680311048746321720293715063683658110949743602947527619163229867885780121392177479680 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2000000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(if (<=.f64 x #s(literal -500000000000000023300903587410348784202542904974688430710490229009341390661543149786383856107097856160516988297992744932658630833003449045680311048746321720293715063683658110949743602947527619163229867885780121392177479680 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2000000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 2000000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

soundness312.0ms (14.1%)

Memory

-19.3MiB live, 177.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	48	49
2	93	49
3	151	49
4	318	49
5	549	49
6	807	49
7	874	49
8	985	49
0	985	49
0	6	16
0	10	14
1	37	14
2	220	12
3	2325	12
0	10093	12

Stop Event

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

Compiler

Compiled 136 to 86 computations (36.8% saved)

preprocess26.0ms (1.2%)

Memory: 25.4MiB live, 62.2MiB allocated
Compiler: Compiled 130 to 56 computations (56.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	41
1	45	41
2	69	41
3	135	41
4	243	41
5	333	41
6	343	41
7	346	41
0	6	7
0	10	7
1	16	7
2	24	7
3	50	7
4	96	7
5	130	7
6	134	7
7	137	7
0	137	7

Iter	Nodes	Cost
0	18	41
1	45	41
2	69	41
3	135	41
4	243	41
5	333	41
6	343	41
7	346	41
0	6	7
0	10	7
1	16	7
2	24	7
3	50	7
4	96	7
5	130	7
6	134	7
7	137	7
0	137	7

start0.0ms (0%)

analyze12.0ms (0.6%)

sample611.0ms (27.6%)

explain56.0ms (2.6%)

preprocess280.0ms (12.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize25.0ms (1.1%)

series4.0ms (0.2%)

simplify121.0ms (5.5%)

rewrite118.0ms (5.4%)

eval40.0ms (1.8%)

prune4.0ms (0.2%)

simplify4.0ms (0.2%)

localize39.0ms (1.8%)

series4.0ms (0.2%)

simplify19.0ms (0.9%)

rewrite109.0ms (4.9%)

eval47.0ms (2.1%)

prune4.0ms (0.2%)

simplify4.0ms (0.2%)

localize43.0ms (2%)

series3.0ms (0.1%)

simplify22.0ms (1%)

rewrite168.0ms (7.6%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes16.0ms (0.7%)

regimes6.0ms (0.3%)

regimes5.0ms (0.2%)

regimes6.0ms (0.3%)

regimes3.0ms (0.2%)

bsearch19.0ms (0.9%)

bsearch0.0ms (0%)

simplify67.0ms (3%)

soundness312.0ms (14.1%)

preprocess26.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	41
1	45	41
2	69	41
3	135	41
4	243	41
5	333	41
6	343	41
7	346	41
0	6	7
0	10	7
1	16	7
2	24	7
3	50	7
4	96	7
5	130	7
6	134	7
7	137	7
0	137	7