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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze50.0ms (1.1%)

Memory

-13.7MiB live, 29.4MiB 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)

sample1.5s (33.4%)

Memory

-19.0MiB live, 1 174.9MiB allocated

Samples

934.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-fabs: 195.0ms (59.5% of total)

ival-sub: 71.0ms (21.7% of total)

ival-div: 53.0ms (16.2% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain134.0ms (3%)

Memory

18.1MiB live, 158.7MiB 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

73.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 24.0ms (74.2% of total)

ival-fabs: 5.0ms (15.5% of total)

ival-sub: 3.0ms (9.3% of total)

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

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

preprocess72.0ms (1.6%)

Memory

-10.9MiB live, 36.1MiB 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: 0.3MiB live, 0.3MiB 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 (0.1%)

Memory

9.7MiB live, 9.7MiB 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	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)

localize17.0ms (0.4%)

Memory

31.1MiB live, 31.1MiB 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	0.01953125	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (34.9% of total)

ival-fabs: 2.0ms (34.9% of total)

ival-sub: 1.0ms (17.5% of total)

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

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

series191.0ms (4.3%)

Memory

-37.1MiB live, 9.4MiB 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
188.0ms	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	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))

simplify277.0ms (6.2%)

Memory

27.0MiB live, 202.6MiB 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)

rewrite147.0ms (3.3%)

Memory

14.0MiB live, 200.3MiB 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

eval68.0ms (1.5%)

Memory: 10.0MiB live, 63.9MiB allocated
Compiler: Compiled 5 968 to 873 computations (85.4% saved)

prune14.0ms (0.3%)

Memory

-29.9MiB live, 16.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	291	3	294

Accuracy

100.0%

Counts

294 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.0%	(/.f64 (-.f64 x y) (fabs.f64 y))
▶	25.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
▶	75.6%	(-.f64 #s(literal 1 binary64) (/.f64 x y))

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify5.0ms (0.1%)

Memory

7.9MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fabs.f64 y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (fabs.f64 y))
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	9	35
0	15	35
1	22	35
2	25	35
3	37	35
4	56	35
5	72	35
6	84	35
7	94	35
8	105	35
9	109	35
0	109	35

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

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

localize27.0ms (0.6%)

Memory

-3.9MiB live, 41.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 y)
accuracy	0.01953125	(/.f64 (-.f64 x y) (fabs.f64 y))
accuracy	0.0	(/.f64 x y)
accuracy	0.022784726617831024	(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	0.022784726617831024	(-.f64 #s(literal 1 binary64) (/.f64 x y))

Samples

21.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

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

ival-div: 7.0ms (58.4% of total)

ival-sub: 3.0ms (25% of total)

ival-fabs: 1.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

6 → 28

Calls

Call 1

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

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

Calls

6 calls:

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

simplify109.0ms (2.5%)

Memory

-1.6MiB live, 91.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	135
1	148	111
2	437	111
3	1254	111
4	2908	111
5	4795	111
6	6761	111
7	7755	111
0	8028	111

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

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

rewrite155.0ms (3.5%)

Memory

12.8MiB live, 199.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	15	23
1	62	23
2	385	22
3	5224	22
0	8463	22

Stop Event

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

Counts

6 → 297

Calls

Call 1

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

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

eval31.0ms (0.7%)

Memory: 17.7MiB live, 62.4MiB allocated
Compiler: Compiled 5 144 to 668 computations (87% saved)

prune7.0ms (0.2%)

Memory

-28.8MiB live, 17.4MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	260	4	264
Fresh	0	0	0
Picked	1	2	3
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
▶	25.6%	(/.f64 (-.f64 x y) y)
✓	25.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	75.6%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	24.1%	#s(approx (/ (- x y) (fabs y)) (/.f64 x (fabs.f64 y)))
▶	24.5%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
▶	54.1%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 43 to 37 computations (14% saved)

simplify6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) y)
cost-diff	0	(fabs.f64 y)
cost-diff	0	(/.f64 x (fabs.f64 y))
cost-diff	0	#s(approx (/ (- x y) (fabs y)) (/.f64 x (fabs.f64 y)))
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	17	55
0	22	55
1	31	55
2	36	55
3	48	55
4	67	55
5	86	55
6	103	55
7	119	55
8	131	55
9	131	55
0	131	55

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
#s(approx (/ (- x y) (fabs y)) (/.f64 x (fabs.f64 y)))
(/.f64 x (fabs.f64 y))
x
(fabs.f64 y)
y
(/.f64 (-.f64 x y) y)
(-.f64 x y)
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
#s(approx (/ (- x y) (fabs y)) (/.f64 x (fabs.f64 y)))
(/.f64 x (fabs.f64 y))
x
(fabs.f64 y)
y
(/.f64 (-.f64 x y) y)
(-.f64 x y)
x
y

localize36.0ms (0.8%)

Memory

-18.9MiB live, 79.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.01953125	(/.f64 (-.f64 x y) y)
accuracy	0.0	(/.f64 x (fabs.f64 y))
accuracy	0.0	(fabs.f64 y)
accuracy	33.11982644316803	#s(approx (/ (- x y) (fabs y)) (/.f64 x (fabs.f64 y)))
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	33.11982644316803	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	30.071428293402885	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Samples

25.0ms

256×

valid

Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 8.0ms (57.6% of total)

ival-sub: 2.0ms (14.4% of total)

ival-fabs: 2.0ms (14.4% of total)

ival-neg: 1.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

9 → 29

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)
#s(approx (/ (- x y) (fabs y)) (/.f64 x (fabs.f64 y)))
(/.f64 x (fabs.f64 y))
(fabs.f64 y)
(/.f64 (-.f64 x y) y)
(-.f64 x y)

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

Calls

6 calls:

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

simplify95.0ms (2.1%)

Memory

-12.2MiB live, 124.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	137
1	150	113
2	432	113
3	1288	113
4	3090	113
5	5076	113
6	6982	113
0	8005	113

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

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

rewrite169.0ms (3.8%)

Memory

-11.6MiB live, 330.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	48
0	22	48
1	66	48
2	360	44
0	3820	44

Stop Event

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

Counts

9 → 126

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)
#s(approx (/ (- x y) (fabs y)) (/.f64 x (fabs.f64 y)))
(/.f64 x (fabs.f64 y))
(fabs.f64 y)
(/.f64 (-.f64 x y) y)
(-.f64 x y)

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

eval19.0ms (0.4%)

Memory: 11.0MiB live, 55.3MiB allocated
Compiler: Compiled 2 455 to 427 computations (82.6% saved)

prune4.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	138	6	144

Accuracy

100.0%

Counts

144 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.6%	(/.f64 (-.f64 x y) y)
✓	25.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	75.6%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	26.1%	#s(approx (/ (- x y) (fabs y)) (/.f64 x y))
✓	24.5%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
✓	54.1%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 42 to 36 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	8	15
1	13	15
2	16	15
3	28	15
4	47	15
5	63	15
6	75	15
7	85	15
8	96	15
9	100	15
0	100	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.5%)

Memory

-16.4MiB live, 39.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 x y)
accuracy	47.644090790775735	#s(approx (/ (- x y) (fabs y)) (/.f64 x y))

Samples

19.0ms

256×

valid

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

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

ival-div: 3.0ms (47.8% of total)

ival-sub: 1.0ms (15.9% of total)

ival-fabs: 1.0ms (15.9% of total)

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

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

series3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

2 → 8

Calls

Call 1

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

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

Calls

6 calls:

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

simplify128.0ms (2.9%)

Memory

-4.7MiB live, 87.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	62
1	72	47
2	240	42
3	717	42
4	2265	42
5	4567	42
6	6020	42
7	6845	42
8	7614	42
0	8014	42

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

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

rewrite86.0ms (1.9%)

Memory

14.4MiB live, 108.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	8	13
1	32	13
2	173	12
0	1621	12

Stop Event

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

Counts

2 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 2.4MiB live, 2.4MiB allocated
Compiler: Compiled 108 to 29 computations (73.1% saved)

prune3.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	9	0	9
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	9	6	15

Accuracy

100.0%

Counts

15 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.6%	(/.f64 (-.f64 x y) y)
✓	25.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	75.6%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	26.1%	#s(approx (/ (- x y) (fabs y)) (/.f64 x y))
✓	24.5%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
✓	54.1%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 108 to 61 computations (43.5% saved)

regimes13.0ms (0.3%)

Memory

-20.1MiB live, 24.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
3.0ms	x
2.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.2%)

Memory

-18.0MiB live, 25.8MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.9%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
81.0%	2	`x`
77.5%	2	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.6%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

27.2MiB live, 27.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.2%	4	`y`
75.6%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
68.9%	3	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory

-29.9MiB live, 15.7MiB 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:

6.0ms	x
1.0ms	y
1.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
54.1%	1	`y`
54.1%	1	`x`
54.1%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch9.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.3844148596323223e+85	9.802280796088676e+85

Samples

4.0ms

96×

valid

Compiler

Compiled 76 to 83 computations (-9.2% saved)

Precisions

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

ival-sub: 1.0ms (46.1% of total)

ival-div: 1.0ms (46.1% of total)

ival-fabs: 1.0ms (46.1% of total)

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

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

bsearch14.0ms (0.3%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.423722724967109e+171	4.939951999889172e+181

Samples

7.0ms

160×

valid

Compiler

Compiled 170 to 161 computations (5.3% saved)

Precisions

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

ival-sub: 1.0ms (28.5% of total)

ival-div: 1.0ms (28.5% of total)

ival-fabs: 1.0ms (28.5% 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	375883.66659878305	3371286.798936767

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify171.0ms (3.9%)

Memory

-67.9MiB live, 64.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	74
1	46	74
2	81	74
3	138	74
4	235	74
5	464	74
6	849	74
7	1325	74
8	1475	74
9	2019	74
10	5106	74

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(if (<=.f64 x #s(literal 18500000000000000960842496446541529816421381503198663841765196779679888254898664374272 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (-.f64 x y) (fabs.f64 y)))
(if (<=.f64 x #s(literal 1659999999999999951911153519269169625777100401017654199555451591396977397805171819066207504507567459545943680799589119878921983524527195265819269819548304398528331826742689792 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (/ (- x y) (fabs y)) (/.f64 x (fabs.f64 y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 500000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (fabs y)) (/.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 18500000000000000960842496446541529816421381503198663841765196779679888254898664374272 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (-.f64 x y) (fabs.f64 y)))
(if (<=.f64 x #s(literal 1659999999999999951911153519269169625777100401017654199555451591396977397805171819066207504507567459545943680799589119878921983524527195265819269819548304398528331826742689792 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (/ (- x y) (fabs y)) (/.f64 x (fabs.f64 y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 500000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (fabs y)) (/.f64 x y)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 500000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (fabs y)) (/.f64 x y)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

soundness748.0ms (16.9%)

Memory

20.1MiB live, 388.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	48
0	22	48
1	66	48
2	360	44
0	3820	44
0	6	16
0	10	14
1	37	14
2	220	12
3	2325	12
0	10093	12
0	54	135
1	148	111
2	437	111
3	1254	111
4	2908	111
5	4795	111
6	6761	111
7	7755	111
0	8028	111

Stop Event

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

Compiler

Compiled 182 to 109 computations (40.1% saved)

preprocess67.0ms (1.5%)

Memory: -0.4MiB live, 44.7MiB allocated
Compiler: Compiled 162 to 72 computations (55.6% 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	9	35
0	15	35
1	22	35
2	25	35
3	37	35
4	56	35
5	72	35
6	84	35
7	94	35
8	105	35
9	109	35
0	109	35

Iter	Nodes	Cost
0	17	55
0	22	55
1	31	55
2	36	55
3	48	55
4	67	55
5	86	55
6	103	55
7	119	55
8	131	55
9	131	55
0	131	55

Iter	Nodes	Cost
0	7	15
0	8	15
1	13	15
2	16	15
3	28	15
4	47	15
5	63	15
6	75	15
7	85	15
8	96	15
9	100	15
0	100	15

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	9	35
0	15	35
1	22	35
2	25	35
3	37	35
4	56	35
5	72	35
6	84	35
7	94	35
8	105	35
9	109	35
0	109	35

Iter	Nodes	Cost
0	17	55
0	22	55
1	31	55
2	36	55
3	48	55
4	67	55
5	86	55
6	103	55
7	119	55
8	131	55
9	131	55
0	131	55

Iter	Nodes	Cost
0	7	15
0	8	15
1	13	15
2	16	15
3	28	15
4	47	15
5	63	15
6	75	15
7	85	15
8	96	15
9	100	15
0	100	15

start0.0ms (0%)

analyze50.0ms (1.1%)

sample1.5s (33.4%)

explain134.0ms (3%)

preprocess72.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize17.0ms (0.4%)

series191.0ms (4.3%)

simplify277.0ms (6.2%)

rewrite147.0ms (3.3%)

eval68.0ms (1.5%)

prune14.0ms (0.3%)

simplify5.0ms (0.1%)

localize27.0ms (0.6%)

series6.0ms (0.1%)

simplify109.0ms (2.5%)

rewrite155.0ms (3.5%)

eval31.0ms (0.7%)

prune7.0ms (0.2%)

simplify6.0ms (0.1%)

localize36.0ms (0.8%)

series9.0ms (0.2%)

simplify95.0ms (2.1%)

rewrite169.0ms (3.8%)

eval19.0ms (0.4%)

prune4.0ms (0.1%)

simplify5.0ms (0.1%)

localize23.0ms (0.5%)

series3.0ms (0.1%)

simplify128.0ms (2.9%)

rewrite86.0ms (1.9%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes13.0ms (0.3%)

regimes11.0ms (0.2%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.2%)

bsearch9.0ms (0.2%)

bsearch14.0ms (0.3%)

bsearch0.0ms (0%)

simplify171.0ms (3.9%)

soundness748.0ms (16.9%)

preprocess67.0ms (1.5%)

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

Iter	Nodes	Cost
0	9	35
0	15	35
1	22	35
2	25	35
3	37	35
4	56	35
5	72	35
6	84	35
7	94	35
8	105	35
9	109	35
0	109	35

Iter	Nodes	Cost
0	17	55
0	22	55
1	31	55
2	36	55
3	48	55
4	67	55
5	86	55
6	103	55
7	119	55
8	131	55
9	131	55
0	131	55

Iter	Nodes	Cost
0	7	15
0	8	15
1	13	15
2	16	15
3	28	15
4	47	15
5	63	15
6	75	15
7	85	15
8	96	15
9	100	15
0	100	15