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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze32.0ms (1.4%)

Memory

-28.5MiB live, 26.9MiB allocated; 17ms collecting garbage

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)

sample975.0ms (41.8%)

Memory

45.0MiB live, 1 248.5MiB allocated; 352ms collecting garbage

Samples

692.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-fabs: 179.0ms (41.9% of total)

ival-sub: 154.0ms (36% of total)

ival-div: 83.0ms (19.4% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 4.0ms (0.9% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain62.0ms (2.7%)

Memory

-3.8MiB live, 142.8MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-fabs: 5.0ms (38.8% of total)

ival-div: 4.0ms (31% of total)

ival-sub: 3.0ms (23.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess20.0ms (0.8%)

Memory

-4.3MiB live, 41.8MiB allocated; 3ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

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

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

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)

localize22.0ms (0.9%)

Memory

12.5MiB live, 55.7MiB allocated; 5ms collecting garbage

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	0.015625	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Samples

16.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-fabs: 3.0ms (43.2% of total)

ival-sub: 2.0ms (28.8% of total)

ival-div: 2.0ms (28.8% of total)

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

adjust: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

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))

simplify167.0ms (7.2%)

Memory

-51.1MiB live, 244.2MiB allocated; 80ms collecting garbage

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)

rewrite117.0ms (5%)

Memory

28.4MiB live, 214.8MiB allocated; 30ms collecting garbage

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)))
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(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.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 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.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 (neg.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 (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

eval39.0ms (1.7%)

Memory: -11.3MiB live, 78.8MiB allocated; 26ms collecting garbage
Compiler: Compiled 5 968 to 873 computations (85.4% saved)

prune5.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

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
▶	26.6%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
▶	74.4%	(-.f64 #s(literal 1 binary64) (/.f64 x y))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify4.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

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)

localize23.0ms (1%)

Memory

-12.2MiB live, 45.7MiB allocated; 8ms collecting garbage

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

18.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-sub: 7.0ms (72.1% of total)

ival-div: 2.0ms (20.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

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	x	@	0	((- 1 (/ x y)) (/ x y) (- (/ x y) 1))
0.0ms	y	@	-inf	((- 1 (/ x y)) (/ x y) (- (/ x y) 1))
0.0ms	y	@	inf	((- 1 (/ x y)) (/ x y) (- (/ x y) 1))

simplify20.0ms (0.9%)

Memory

-32.3MiB live, 14.3MiB allocated; 12ms collecting garbage

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))

rewrite169.0ms (7.3%)

Memory

6.6MiB live, 236.1MiB allocated; 40ms collecting garbage

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

eval61.0ms (2.6%)

Memory: 16.6MiB live, 62.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 024 to 571 computations (88.6% saved)

prune4.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

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
✓	26.6%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	74.4%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	32.8%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
▶	44.2%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify46.0ms (2%)

Memory

-42.5MiB live, 60.2MiB allocated; 34ms collecting garbage

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

localize19.0ms (0.8%)

Memory

39.0MiB live, 39.0MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	27.416182476421064	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	36.401969388626235	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Samples

13.0ms

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 (57.8% of total)

ival-sub: 1.0ms (14.5% of total)

ival-neg: 1.0ms (14.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

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	x	@	-inf	((- 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	y	@	inf	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x))

simplify18.0ms (0.8%)

Memory

-8.4MiB live, 37.8MiB allocated; 4ms collecting garbage

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))

rewrite146.0ms (6.3%)

Memory

-25.4MiB live, 157.1MiB allocated; 37ms collecting garbage

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: 5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 229 to 55 computations (76% saved)

prune3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

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
✓	26.6%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	74.4%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	32.8%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
✓	44.2%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes6.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

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:

2.0ms	y
2.0ms	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)

regimes6.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

4 → 3

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 #s(literal 1 binary64) (/.f64 x y))
(-.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
77.9%	3	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
74.4%	1	`x`
74.4%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

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

2 calls:

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

Results

Accuracy	Segments	Branch
74.4%	1	`x`
74.4%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.3%)

Memory

-33.8MiB live, 10.6MiB allocated; 6ms collecting garbage

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:

4.0ms	x
1.0ms	y
1.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
72.6%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
57.7%	3	`y`
59.8%	3	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

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
44.2%	1	`y`
44.2%	1	`x`
44.2%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.361838659599385e+193	9.458705997098038e+195
0.0ms	3.247554767264549e+124	8.757388592582677e+125

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1485139.5103695511	24871467.49451281

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify83.0ms (3.6%)

Memory

19.0MiB live, 73.1MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	73
1	48	73
2	82	73
3	129	73
4	244	73
5	504	73
6	807	73
7	830	73
8	884	73
9	1154	73
10	3998	73

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 49999999999999996243388080949644102127233543491741923071961298611264709998789651330158174688140882687576502920682776614141952 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 49999999999999997232983719377348085383163937955059118574485557558927175806589067034309688554228252203002264044843207354769281374744888310588557501864837324040189736276713711952231354300402499584 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 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 49999999999999996243388080949644102127233543491741923071961298611264709998789651330158174688140882687576502920682776614141952 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 49999999999999997232983719377348085383163937955059118574485557558927175806589067034309688554228252203002264044843207354769281374744888310588557501864837324040189736276713711952231354300402499584 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (or (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 49999999999999996243388080949644102127233543491741923071961298611264709998789651330158174688140882687576502920682776614141952 binary64)) (not (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 49999999999999997232983719377348085383163937955059118574485557558927175806589067034309688554228252203002264044843207354769281374744888310588557501864837324040189736276713711952231354300402499584 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(-.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))

derivations217.0ms (9.3%)

Memory

-24.7MiB live, 160.4MiB allocated; 34ms collecting garbage

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 73 to 26 computations (64.4% saved)

preprocess32.0ms (1.4%)

Memory: 21.9MiB live, 64.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 160 to 64 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

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%)

analyze32.0ms (1.4%)

sample975.0ms (41.8%)

explain62.0ms (2.7%)

preprocess20.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize22.0ms (0.9%)

series4.0ms (0.2%)

simplify167.0ms (7.2%)

rewrite117.0ms (5%)

eval39.0ms (1.7%)

prune5.0ms (0.2%)

simplify4.0ms (0.2%)

localize23.0ms (1%)

series4.0ms (0.2%)

simplify20.0ms (0.9%)

rewrite169.0ms (7.3%)

eval61.0ms (2.6%)

prune4.0ms (0.2%)

simplify46.0ms (2%)

localize19.0ms (0.8%)

series3.0ms (0.1%)

simplify18.0ms (0.8%)

rewrite146.0ms (6.3%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes6.0ms (0.3%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

regimes7.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify83.0ms (3.6%)

derivations217.0ms (9.3%)

preprocess32.0ms (1.4%)

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